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Journal articles on the topic 'Physic formulation theories'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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1

Jesi Pebralia. "PRINSIP KETIDAKPASTIAN HEISENBERG DALAM TINJAUAN KEMAJUAN PENGUKURAN KUANTUM DI ABAD 21." JOURNAL ONLINE OF PHYSICS 5, no. 2 (2020): 43–47. http://dx.doi.org/10.22437/jop.v5i2.9049.

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The Heisenberg uncertainty principle is the basic foundation of quantum physics that characterizes quantum physics with classical physics. The Heisenberg uncertainty principle provides boundaries where there are no absolute measurement results in any quantum measurement. Along with the development of increasingly sophisticated measurement instruments in the 21st century, presents the opportunity for the emergence of modifications from the Heisenberg uncertainty principle from the general form of existing formulations. This study aims to provide an overview of the opportunities for Heisenberg u

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2

Moretti, Valter. "Mathematical foundations of quantum mechanics: An advanced short course." International Journal of Geometric Methods in Modern Physics 13, Supp. 1 (2016): 1630011. http://dx.doi.org/10.1142/s0219887816300117.

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This paper collects and extends the lectures I gave at the “XXIV International Fall Workshop on Geometry and Physics” held in Zaragoza (Spain) during September 2015. Within these lectures I review the formulation of Quantum Mechanics, and quantum theories in general, from a mathematically advanced viewpoint, essentially based on the orthomodular lattice of elementary propositions, discussing some fundamental ideas, mathematical tools and theorems also related to the representation of physical symmetries. The final step consists of an elementary introduction the so-called ([Formula: see text]-)

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Fontana, Pierpaolo, and Andrea Trombettoni. "Mean Field Approaches to Lattice Gauge Theories: A Review." Entropy 27, no. 3 (2025): 250. https://doi.org/10.3390/e27030250.

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Due to their broad applicability, gauge theories (GTs) play a crucial role in various areas of physics, from high-energy physics to condensed matter. Their formulations on lattices, lattice gauge theories (LGTs), can be studied, among many other methods, with tools coming from statistical mechanics lattice models, such as mean field methods, which are often used to provide approximate results. Applying these methods to LGTs requires particular attention due to the intrinsic local nature of gauge symmetry, how it is reflected in the variables used to formulate the theory, and the breaking of ga

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4

Capozziello, Salvatore, and Mariafelicia De Laurentis. "Metric and connections in theories of gravity. The role of equivalence principle." International Journal of Geometric Methods in Modern Physics 13, no. 08 (2016): 1640007. http://dx.doi.org/10.1142/s0219887816400077.

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Fundamental issues underlying gravitational physics and some of the shortcomings of Einstein’s general relativity (GR) are discussed. In particular, after taking into account the role of the two main objects of relativistic theories of gravity, i.e. the metric and the connection fields, we consider the possibility that they are not trivially related so that the geodesic structure and the causal structure of the spacetime could be disentangled, as supposed in the Palatini formulation of gravity. In this perspective, the equivalence principle (EP), in its weak and strong formulations, can play a

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Escors, David, and Grazyna Kochan. "The Uncertainty Principle and the Minimal Space–Time Length Element." Physics 4, no. 4 (2022): 1230–40. http://dx.doi.org/10.3390/physics4040079.

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Quantum gravity theories rely on a minimal measurable length for their formulations, which clashes with the classical formulation of the uncertainty principle and with Lorentz invariance from general relativity. These incompatibilities led to the development of the generalized uncertainty principle (GUP) from string theories and its various modifications. GUP and covariant formulations of the uncertainty principle are discussed, together with implications for space–time quantization.

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Rivas, Xavier. "Nonautonomous k-contact field theories." Journal of Mathematical Physics 64, no. 3 (2023): 033507. http://dx.doi.org/10.1063/5.0131110.

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This paper provides a new geometric framework to describe non-conservative field theories with explicit dependence on the space–time coordinates by combining the k-cosymplectic and k-contact formulations. This geometric framework, the k-cocontact geometry, permits the development of Hamiltonian and Lagrangian formalisms for these field theories. We also compare this new formulation in the autonomous case with the previous k-contact formalism. To illustrate the theory, we study the nonlinear damped wave equation with external time-dependent forcing.

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Blas, Harold. "Riccati-Type Pseudo-Potential Approach to Quasi-Integrability of Deformed Soliton Theories." Mathematics 13, no. 10 (2025): 1564. https://doi.org/10.3390/math13101564.

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This review paper explores the Riccati-type pseudo-potential formulation applied to the quasi-integrable sine-Gordon, KdV, and NLS models. The proposed framework provides a unified methodology for analyzing quasi-integrability properties across various integrable systems, including deformations of the sine-Gordon, Bullough–Dodd, Toda, KdV, pKdV, NLS, and SUSY sine-Gordon models. Key findings include the emergence of infinite towers of anomalous conservation laws within the Riccati-type approach and the identification of exact non-local conservation laws in the linear formulations of deformed m

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Drechsler, W. "Geometric Formulation of Gauge Theories." Zeitschrift für Naturforschung A 46, no. 8 (1991): 645–54. http://dx.doi.org/10.1515/zna-1991-0801.

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AbstractThe development of gauge theories is reviewed beginning with Weyl's theory of 1918 and with the changes introduced by London in the context of quantum mechanics. After a discussion of the Yang-Mills theory and Utiyama's work in the fifties the translation to the modern geometric formulation of gauge theories in terms of fiber bundles is presented

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HARIKUMAR, E., and M. SIVAKUMAR. "ON THE EQUIVALENCE BETWEEN TOPOLOGICALLY AND NON-TOPOLOGICALLY MASSIVE ABELIAN GAUGE THEORIES." Modern Physics Letters A 15, no. 02 (2000): 121–31. http://dx.doi.org/10.1142/s0217732300000128.

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We analyze the equivalence between topologically massive gauge theory (TMGT) and different formulations of non-topologically massive gauge theories (NTMGTs) in the canonical approach. The different NTMGTs studied are Stückelberg formulation of (a) a first-order formulation involving one- and two-form fields, (b) Proca theory, and (c) massive Kalb–Ramond theory. We first quantize these reducible gauge systems by using the phase space extension procedure and using it, identify the phase space variables of NTMGTs which are equivalent to the canonical variables of TMGT and show that under this the

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10

Hohmann, Manuel. "Variational Principles in Teleparallel Gravity Theories." Universe 7, no. 5 (2021): 114. http://dx.doi.org/10.3390/universe7050114.

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We study the variational principle and derivation of the field equations for different classes of teleparallel gravity theories, using both their metric-affine and covariant tetrad formulations. These theories have in common that, in addition to the tetrad or metric, they employ a flat connection as additional field variable, but dthey iffer by the presence of absence of torsion and nonmetricity for this independent connection. Besides the different underlying geometric formulation using a tetrad or metric as fundamental field variable, one has different choices to introduce the conditions of

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11

HABARA, YOSHINOBU, YUKINORI NAGATANI, HOLGER B. NIELSEN, and MASAO NINOMIYA. "DIRAC SEA AND HOLE THEORY FOR BOSONS I: A NEW FORMULATION OF QUANTUM FIELD THEORIES." International Journal of Modern Physics A 23, no. 18 (2008): 2733–69. http://dx.doi.org/10.1142/s0217751x08040342.

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Bosonic formulation of the negative energy sea, so-called Dirac sea, is proposed by constructing a hole theory for bosons as a new formulation of the second quantization of bosonic fields. The original idea of Dirac sea for fermions, where the vacuum state is considered as a state completely filled by fermions of negative energy and holes in the sea are identified as antiparticles, is extended to boson case in a consistent manner. The bosonic vacuum consists of a sea filled by negative energy bosonic states, while physical probabilities become always positive definite. We introduce a method of

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12

GRÀCIA, XAVIER, RUBÉN MARTÍN, and NARCISO ROMÁN-ROY. "CONSTRAINT ALGORITHM FOR k-PRESYMPLECTIC HAMILTONIAN SYSTEMS: APPLICATION TO SINGULAR FIELD THEORIES." International Journal of Geometric Methods in Modern Physics 06, no. 05 (2009): 851–72. http://dx.doi.org/10.1142/s0219887809003795.

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The k-symplectic formulation of field theories is especially simple, since only tangent and cotangent bundles are needed in its description. Its defining elements show a close relationship with those in the symplectic formulation of mechanics. It will be shown that this relationship also stands in the presymplectic case. In a natural way, one can mimick the presymplectic constraint algorithm to obtain a constraint algorithm that can be applied to k-presymplectic field theory, and more particularly to the Lagrangian and Hamiltonian formulations of field theories defined by a singular Lagrangian

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13

Kulahci, Mihriban. "Investigation of a curve using Frenet frame in the lightlike cone." Open Physics 15, no. 1 (2017): 175–81. http://dx.doi.org/10.1515/phys-2017-0018.

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AbstractOften times the language of mathematics is used to formulate physical theories. For example, as in this paper, while Minkowski space or the theory of special relativity were studying, their formulation was given by means of mathematical methods. In this manuscript, we study spacelike normal curves lying entirely in the 2-dimensional and 3-dimensional lightlike cone. In particular, some related theorems and definitions are also given. The study of representations of spacelike normal curves in the lightlike cone has led to the existence of different areas of mathematics and physics.

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14

Brehmer, Johann, Kyle Cranmer, Irina Espejo, et al. "Constraining effective field theories with machine learning." EPJ Web of Conferences 245 (2020): 06026. http://dx.doi.org/10.1051/epjconf/202024506026.

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An important part of the Large Hadron Collider (LHC) legacy will be precise limits on indirect effects of new physics, framed for instance in terms of an effective field theory. These measurements often involve many theory parameters and observables, which makes them challenging for traditional analysis methods. We discuss the underlying problem of “likelihood-free” inference and present powerful new analysis techniques that combine physics insights, statistical methods, and the power of machine learning. We have developed MadMiner, a new Python package that makes it straightforward to apply t

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15

Kerler, Werner. "Formulation of chiral gauge theories." Nuclear Physics B - Proceedings Supplements 140 (March 2005): 674–76. http://dx.doi.org/10.1016/j.nuclphysbps.2004.11.145.

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16

Guerra IV, Arnoldo Guerra, and Narciso Román-Roy. "More Insights into Symmetries in Multisymplectic Field Theories." Symmetry 15, no. 2 (2023): 390. http://dx.doi.org/10.3390/sym15020390.

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This work provides a general overview for the treatment of symmetries in classical field theories and (pre)multisymplectic geometry. The geometric characteristics of the relation between how symmetries are interpreted in theoretical physics and in the geometric formulation of these theories are clarified. Finally, a general discussion is given on the structure of symmetries in the presence of constraints appearing in singular field theories. Symmetries of some typical theories in theoretical physics are analyzed through the construction of the relevant multimomentum maps which are the conserve

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17

McCoy, John J. "Conditionally Averaged Response Formulations for Two-Phase Random Mixtures." Journal of Applied Mechanics 58, no. 4 (1991): 973–81. http://dx.doi.org/10.1115/1.2897716.

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A technique known as a projection or a smoothing, which has been used successfully to derive formulations on the mean (or unconditionally averaged) field response of specimens with a random substructure, is extended to obtain formulations on conditionally averaged response measures for two-phase mixtures. The condition in the averaging refers to the location of the field point, in one or the other of the phases. The obtained formulation has the structure of a theory for interacting mixtures of nonlocal continua. The formulations are then investigated in a two-scale microscale/macroscale limit;

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18

Davoudi, Zohreh, Alexander F. Shaw, and Jesse R. Stryker. "General quantum algorithms for Hamiltonian simulation with applications to a non-Abelian lattice gauge theory." Quantum 7 (December 20, 2023): 1213. http://dx.doi.org/10.22331/q-2023-12-20-1213.

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With a focus on universal quantum computing for quantum simulation, and through the example of lattice gauge theories, we introduce rather general quantum algorithms that can efficiently simulate certain classes of interactions consisting of correlated changes in multiple (bosonic and fermionic) quantum numbers with non-trivial functional coefficients. In particular, we analyze diagonalization of Hamiltonian terms using a singular-value decomposition technique, and discuss how the achieved diagonal unitaries in the digitized time-evolution operator can be implemented. The lattice gauge theory

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19

FATIBENE, L., M. FRANCAVIGLIA, and S. MERCADANTE. "COVARIANT FORMULATION OF CHERN–SIMONS THEORIES." International Journal of Geometric Methods in Modern Physics 02, no. 05 (2005): 993–1008. http://dx.doi.org/10.1142/s0219887805000867.

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We shall review some results about the globality of Chern–Simons theory in any odd dimension. The relation between Chern–Simons theories and some recent results about conservation laws are also considered in detail.

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20

Sirousse Zia, Haydeh. "Singularity theorems and the [General Relativity + additional matter fields] formulation of metric theories of gravitation." General Relativity and Gravitation 26, no. 6 (1994): 587–97. http://dx.doi.org/10.1007/bf02108000.

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21

SCHMALIAN, JÖRG. "FAILED THEORIES OF SUPERCONDUCTIVITY." Modern Physics Letters B 24, no. 27 (2010): 2679–91. http://dx.doi.org/10.1142/s0217984910025280.

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Almost half a century passed between the discovery of superconductivity by Kamerlingh Onnes and the theoretical explanation of the phenomenon by Bardeen, Cooper and Schrieffer. During the intervening years the brightest minds in theoretical physics tried and failed to develop a microscopic understanding of the effect. A summary of some of those unsuccessful attempts to understand superconductivity not only demonstrates the extraordinary achievement made by formulating the BCS theory, but also illustrates that mistakes are a natural and healthy part of scientific discourse, and that inapplicabl

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22

S. Rocha, Gabriel S., David Wagner, Gabriel S. Denicol, Jorge Noronha, and Dirk H. Rischke. "Theories of Relativistic Dissipative Fluid Dynamics." Entropy 26, no. 3 (2024): 189. http://dx.doi.org/10.3390/e26030189.

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Relativistic dissipative fluid dynamics finds widespread applications in high-energy nuclear physics and astrophysics. However, formulating a causal and stable theory of relativistic dissipative fluid dynamics is far from trivial; efforts to accomplish this reach back more than 50 years. In this review, we give an overview of the field and attempt a comparative assessment of (at least most of) the theories for relativistic dissipative fluid dynamics proposed until today and used in applications.

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23

Landsman, Klaas. "Typical = Random." Axioms 12, no. 8 (2023): 727. http://dx.doi.org/10.3390/axioms12080727.

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This expository paper advocates an approach to physics in which “typicality” is identified with a suitable form of algorithmic randomness. To this end various theorems from mathematics and physics are reviewed. Their original versions state that some property Φ(x) holds for P-almost all x∈X, where P is a probability measure on some space X. Their more refined (and typically more recent) formulations show that Φ(x) holds for all P-random x∈X. The computational notion of P-randomness used here generalizes the one introduced by Martin-Löf in 1966 in a way now standard in algorithmic randomness. E

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24

BARS, ITZHAK. "GAUGE SYMMETRY IN PHASE SPACE CONSEQUENCES FOR PHYSICS AND SPACE–TIME." International Journal of Modern Physics A 25, no. 29 (2010): 5235–52. http://dx.doi.org/10.1142/s0217751x10051128.

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Position and momentum enter at the same level of importance in the formulation of classical or quantum mechanics. This is reflected in the invariance of Poisson brackets or quantum commutators under canonical transformations, which I regard as a global symmetry. A gauge symmetry can be defined in phase space (XM, PM) that imposes equivalence of momentum and position for every motion at every instant of the worldline. One of the consequences of this gauge symmetry is a new formulation of physics in space–time. Instead of one time there must be two, while phenomena described by one-time physics

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Haase, Jan F., Luca Dellantonio, Alessio Celi, et al. "A resource efficient approach for quantum and classical simulations of gauge theories in particle physics." Quantum 5 (February 4, 2021): 393. http://dx.doi.org/10.22331/q-2021-02-04-393.

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Gauge theories establish the standard model of particle physics, and lattice gauge theory (LGT) calculations employing Markov Chain Monte Carlo (MCMC) methods have been pivotal in our understanding of fundamental interactions. The present limitations of MCMC techniques may be overcome by Hamiltonian-based simulations on classical or quantum devices, which further provide the potential to address questions that lay beyond the capabilities of the current approaches. However, for continuous gauge groups, Hamiltonian-based formulations involve infinite-dimensional gauge degrees of freedom that can

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26

Racskó, Bence. "Variational formalism for generic shells in general relativity." Classical and Quantum Gravity 39, no. 1 (2021): 015004. http://dx.doi.org/10.1088/1361-6382/ac38d2.

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Abstract We investigate the variational principle for the gravitational field in the presence of thin shells of completely unconstrained signature (generic shells). Such variational formulations have been given before for shells of timelike and null signatures separately, but so far no unified treatment exists. We identify the shell equation as the natural boundary condition associated with a broken extremal problem along a hypersurface where the metric tensor is allowed to be nondifferentiable. Since the second order nature of the Einstein–Hilbert action makes the boundary value problem assoc

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Barbero, Fernando, Marc Basquens, Valle Varo, and Eduardo J. S. Villaseñor. "Three Roads to the Geometric Constraint Formulation of Gravitational Theories with Boundaries." Symmetry 13, no. 8 (2021): 1430. http://dx.doi.org/10.3390/sym13081430.

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The Hamiltonian description of mechanical or field models defined by singular Lagrangians plays a central role in physics. A number of methods are known for this purpose, the most popular of them being the one developed by Dirac. Here, we discuss other approaches to this problem that rely on the direct use of the equations of motion (and the tangency requirements characteristic of the Gotay, Nester and Hinds method), or are formulated in the tangent bundle of the configuration space. Owing to its interesting relation with general relativity we use a concrete example as a test bed: an extension

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28

Ryckman, Thomas. "What does History Matter to Philosophy of Physics?" Journal of the Philosophy of History 5, no. 3 (2011): 496–512. http://dx.doi.org/10.1163/187226311x599925.

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Abstract Naturalized metaphysics remains a default presupposition of much contemporary philosophy of physics. As metaphysics is supposed to be about the general structure of reality, so a naturalized metaphysics draws upon our best physical theories: Assuming the truth of such a theory, it attempts to answer the “foundational question par excellence”, “how could the world possibly be the way this theory says it is?” It is argued that attention to historical detail in the development and formulation of physical theories serves as an ever-relevant hygienic corrective to the “sentiment of rationa

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29

Hwang, J. "Cosmological perturbations in generalised gravity theories: formulation." Classical and Quantum Gravity 7, no. 9 (1990): 1613–32. http://dx.doi.org/10.1088/0264-9381/7/9/013.

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30

Montigny, M. de, F. C. Khanna, and E. S. Santos. "Lorentz-like formulation of Galilean field theories." Canadian Journal of Physics 84, no. 6-7 (2006): 565–71. http://dx.doi.org/10.1139/p06-023.

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We review recent articles in which we have constructed nonrelativistic Lagrangian field models by enforcing Galilean covariance on a (4,1) Minkowski manifold and by reducing onto the (3,1) Newtonian space-time. This formalism provides an elegant construction of nonrelativistic Lagrangians, for example, those that describe the electric and magnetic limits of Galilean electromagnetism. We discuss the quantization of scalar and Fermi fields. Scattering amplitudes and cross sections are computed for the Coulomb interaction, as well as electron–electron and electron–positron scattering.PACS Nos.: 0

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31

Hong-Mo, Chan, Peter Scharbach, and Tsou Sheung Tsun. "On loop space formulation of gauge theories." Annals of Physics 166, no. 2 (1986): 396–421. http://dx.doi.org/10.1016/0003-4916(86)90144-2.

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32

Bukhbinder, I. L., and S. L. Lyakhovich. "Hamiltonian formulation of theories with higher derivatives." Soviet Physics Journal 28, no. 9 (1985): 746–49. http://dx.doi.org/10.1007/bf00895528.

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33

da Rocha, Roldão, and Waldyr A. Rodrigues. "Rigorous formulation of duality in gravitational theories." Journal of Physics A: Mathematical and Theoretical 43, no. 20 (2010): 205206. http://dx.doi.org/10.1088/1751-8113/43/20/205206.

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34

Boldo, Jose Luis, Clisthenis P. Constantinidis, François Gieres, Matthieu Lefrançois, and Olivier Piguet. "Observables in topological theories: A superspace formulation." Nuclear Physics B - Proceedings Supplements 127 (February 2004): 30–35. http://dx.doi.org/10.1016/s0920-5632(03)02397-1.

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35

Butter, Daniel, and Sergei M. Kuzenko. "A dual formulation of supergravity–matter theories." Nuclear Physics B 854, no. 1 (2012): 1–27. http://dx.doi.org/10.1016/j.nuclphysb.2011.08.014.

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36

Fairlie, David B., and Tatsuya Ueno. "Covariant formulation of field theories associated withp-branes." Journal of Physics A: Mathematical and General 34, no. 14 (2001): 3037–45. http://dx.doi.org/10.1088/0305-4470/34/14/310.

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37

Low, Robert J. "Comment on ‘singularity theorems and the [general relativity + additional matter fields] formulation of metric theories of gravitation’." General Relativity and Gravitation 27, no. 9 (1995): 969–72. http://dx.doi.org/10.1007/bf02113078.

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38

Mann, R. B. "Gravity, ghosts, and strings." Canadian Journal of Physics 64, no. 5 (1986): 589–94. http://dx.doi.org/10.1139/p86-109.

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A recently introduced technique for extending general relativity is reviewed. This technique, called algebraic extension, yields five theories of gravitation (one of which is Einstein's) that might have interesting implications for strong-field gravitational physics. The particle spectra of these theories are presented. Only one of the four extensions is free of ghosts and tachyons. There exists a (hitherto unexplored) formulation of this theory that contains a gauge-invariant string Lagrangian in the linear approximation.

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Bojowald, Martin. "Space–Time Physics in Background-Independent Theories of Quantum Gravity." Universe 7, no. 7 (2021): 251. http://dx.doi.org/10.3390/universe7070251.

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Background independence is often emphasized as an important property of a quantum theory of gravity that takes seriously the geometrical nature of general relativity. In a background-independent formulation, quantum gravity should determine not only the dynamics of space–time but also its geometry, which may have equally important implications for claims of potential physical observations. One of the leading candidates for background-independent quantum gravity is loop quantum gravity. By combining and interpreting several recent results, it is shown here how the canonical nature of this theor

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Souza, MAM. "Use of scalar fields in physics and cosmology." Physics & Astronomy International Journal 7, no. 4 (2023): 299–305. http://dx.doi.org/10.15406/paij.2023.07.00323.

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In this paper we discuss briefly the use of scalar fields in Physics and in several research areas, such as Condensed Matter and Cosmology. The versatility of the scalar fields has made them prominent in the contemporary scientific scenario, leading them to be used in the formulation of the Higgs field theory, in the theories of cosmic inflation and of dark energy and in the study of topological defects.

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ALFORD, MARK G., and JOHN MARCH-RUSSELL. "DISCRETE GAUGE THEORIES." International Journal of Modern Physics B 05, no. 16n17 (1991): 2641–73. http://dx.doi.org/10.1142/s021797929100105x.

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In this review we discuss the formulation and distinguishing characteristics of discrete gauge theories, and describe several important applications of the concept. For the abelian (ℤN) discrete gauge theories, we consider the construction of the discrete charge operator F(Σ*) and the associated gauge-invariant order parameter that distinguishes different Higgs phases of a spontaneously broken U(1) gauge theory. We sketch some of the important thermodynamic consequences of the resultant discrete quantum hair on black holes. We further show that, as a consequence of unbroken discrete gauge symm

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Deruelle, N., M. Sasaki, Y. Sendouda, and D. Yamauchi. "Hamiltonian Formulation of f (Riemann) Theories of Gravity." Progress of Theoretical Physics 123, no. 1 (2010): 169–85. http://dx.doi.org/10.1143/ptp.123.169.

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POPŁAWSKI, NIKODEM J. "F(R) GRAVITY IN PURELY AFFINE FORMULATION." International Journal of Modern Physics A 23, no. 12 (2008): 1891–901. http://dx.doi.org/10.1142/s0217751x08039773.

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The purely affine, metric-affine and purely metric formulation of general relativity are dynamically equivalent and the relation between them is analogous to the Legendre relation between the Lagrangian and Hamiltonian dynamics. We show that one cannot construct a dynamically equivalent, purely affine Lagrangian from a metric-affine or metric F(R) Lagrangian, nonlinear in the curvature scalar. Thus the equivalence between the purely affine picture and the two other formulations does not hold for metric-affine and metric theories of gravity with a nonlinear dependence on the curvature, i.e. F(R

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Gaset, Jordi, Xavier Gràcia, Miguel C. Muñoz-Lecanda, Xavier Rivas, and Narciso Román-Roy. "A K-contact Lagrangian formulation for nonconservative field theories." Reports on Mathematical Physics 87, no. 3 (2021): 347–68. http://dx.doi.org/10.1016/s0034-4877(21)00041-0.

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45

Soloviev, M. A. "Axiomatic formulations of nonlocal and noncommutative field theories." Theoretical and Mathematical Physics 147, no. 2 (2006): 660–69. http://dx.doi.org/10.1007/s11232-006-0068-7.

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UPADHYAY, SUDHAKER, MANOJ KUMAR DWIVEDI, and BHABANI PRASAD MANDAL. "THE NONCOVARIANT GAUGES IN 3-FORM THEORIES." International Journal of Modern Physics A 28, no. 10 (2013): 1350033. http://dx.doi.org/10.1142/s0217751x13500334.

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We study the 3-form gauge theory in the context of generalized BRST formulation. We construct the finite field-dependent BRST symmetry for such a theory. The generating functional for 3-form gauge theory in noncovariant gauge is obtained from that of covariant gauge. We further extend the results by considering 3-form gauge theory in the context of Batalin–Vilkovisky formulation.

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Jufei, Tang, and Zhu Chuanjie. "On gauge covariant formulation of string field theories II." Chinese Physics Letters 4, no. 8 (1987): 381–83. http://dx.doi.org/10.1088/0256-307x/4/8/012.

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VIGNOLO, STEFANO, ROBERTO CIANCI, and DANILO BRUNO. "ON THE HAMILTONIAN FORMULATION OF YANG–MILLS GAUGE THEORIES." International Journal of Geometric Methods in Modern Physics 02, no. 06 (2005): 1115–31. http://dx.doi.org/10.1142/s0219887805000958.

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Abstract:

The Hamiltonian formulation of the theory proposed in [1, 2] is given both in the Hamilton–De Donder and in the multimomentum Hamiltonian geometrical approaches. (3 + 3) Yang–Mills gauge theories are dealt with explicitly in order to restate them in terms of Einstein–Cartan like field theories.

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BOROWIEC, A., L. FATIBENE, M. FERRARIS, and M. FRANCAVIGLIA. "COVARIANT LAGRANGIAN FORMULATION OF CHERN–SIMONS AND BF THEORIES." International Journal of Geometric Methods in Modern Physics 03, no. 04 (2006): 755–74. http://dx.doi.org/10.1142/s0219887806001363.

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We investigate the covariant formulation of Chern–Simons theories in a general odd dimension which can be obtained by introducing a vacuum connection field as a reference. Field equations, Nöther currents and superpotentials are computed so that results are easily compared with the well-known results in dimension 3. Finally we use this covariant formulation of Chern–Simons theories to investigate their relation with topological BF theories.

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Coffey, Kevin. "(Competing?) Formulations of Newtonian Gravitation." Journal of Philosophy 121, no. 11 (2024): 628–56. https://doi.org/10.5840/jphil20241211140.

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It is sometimes said there are two ways of formulating Newtonian gravitation theory. On the first, matter gives rise to a gravitational field deflecting bodies from inertial motion within flat spacetime. On the second, matter’s accelerative effects are encoded in dynamical spacetime structure exhibiting curvature and the field is ‘geometrized away’. Are these accounts of Newtonian gravitation theoretically equivalent? Conventional wisdom within philosophy of physics is that they are, and recently several philosophers have made this claim explicit. In this paper I develop an alternative approac

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