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Relevant bibliographies by topics / Gauge invariant variational approach

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Academic literature on the topic 'Gauge invariant variational approach'

Author: Grafiati

Published: 4 June 2021

Last updated: 12 February 2022

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Journal articles on the topic "Gauge invariant variational approach"

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SOKOŁOWSKI, LESZEK M. "GENERAL RELATIVITY, GRAVITATIONAL ENERGY AND SPIN–TWO FIELD." International Journal of Geometric Methods in Modern Physics 04, no. 01 (2007): 147–69. http://dx.doi.org/10.1142/s0219887807001904.

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In my lectures I will deal with three seemingly unrelated problems: i) to what extent is general relativity exceptional among metric gravity theories? ii) is it possible to define gravitational energy density applying field–theory approach to gravity? and iii) can a consistent theory of a gravitationally interacting spin–two field be developed at all? The connecting link to them is the concept of a fundamental classical spin–2 field. A linear spin–2 field introduced as a small perturbation of a Ricci–flat spacetime metric, is gauge invariant while its energy–momentum is gauge dependent. Furthe

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Tiwari, S. C. "Axion electrodynamics in the duality perspective." Modern Physics Letters A 30, no. 40 (2015): 1550204. http://dx.doi.org/10.1142/s0217732315502041.

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Axion electrodynamics is deduced from the local duality invariant electrodynamics (LDIE) with a new perspective on both formalism and the physical interpretation. First, the delicate issue of duality rotation symmetry in the Maxwell action is critically reviewed and the generalized Maxwell field equations invariant under local duality rotation are derived. In the alternative approach, a generalization is made to Sudbery’s pseudo-vector action such that it is local duality invariant. Variational principle is used to derive the Euler–Lagrange equations of motion. The gauge potential for local du

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ISLAM, M. M., and S. J. PUGLIA. "ANOMALOUS CHIRAL ACTION FROM THE PATH INTEGRAL." International Journal of Modern Physics A 13, no. 04 (1998): 523–51. http://dx.doi.org/10.1142/s0217751x98000226.

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By generalizing the Fujikawa approach, we show in the path integral formalism: (1) how the infinitesimal variation of the fermion measure can be integrated to obtain the full anomalous chiral action; (2) how the action derived in this way can be identified as the Chern–Simons term in five dimensions, if the anomaly is consistent; (3) how the regularization can be carried out, so as to lead to the consistent anomaly and not to the covariant anomaly. We consider a massless left-handed fermion interacting with a non-Abelian gauge field. The gauge field also interacts with a set of Goldstone boson

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Lipatov, Lev N. "Euler-Lagrange equations for high energy effective actions in QCD and in gravity." International Journal of Modern Physics: Conference Series 39 (January 2015): 1560082. http://dx.doi.org/10.1142/s2010194515600824.

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We review the theory of the high energy scattering in QCD and gravity based on effective actions local in rapidities of usual and reggeized particles. The Euler-Lagrange equations are constructed with a variational approach for these actions and by using the invariance under the gauge and general coordinate transformations.

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Lipatov, L. N. "Euler-Lagrange equations for the Gribov reggeon calculus in QCD and in gravity." International Journal of Modern Physics A 31, no. 28n29 (2016): 1645011. http://dx.doi.org/10.1142/s0217751x16450111.

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The theory of the high energy scattering in QCD and gravity is based on the reggeization of gluons and gravitons, respectively. We discuss the corresponding effective actions for reggeized particle interactions. The Euler-Lagrange equations in these theories are constructed with a variational approach for the effective actions and by using their invariance under the gauge and general coordinate transformations.

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Cremaschini, Claudio, and Massimo Tessarotto. "Manifest Covariant Hamiltonian Theory of General Relativity." Applied Physics Research 8, no. 2 (2016): 60. http://dx.doi.org/10.5539/apr.v8n2p60.

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The problem of formulating a manifest covariant Hamiltonian theory of General Relativity in the presence of source ﬁelds is addressed, by extending the so-called “DeDonder-Weyl” formalism to the treatment of classical ﬁelds in curved space-time. The theory is based on a synchronous variational principle for the Einstein equation, formulated in terms of superabundant variables. The technique permits one to determine the continuum covariant Hamiltonian structure associated with the Einstein equation. The corresponding continuum Poisson bracket representation is also determined. The theory relies

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POPOVA, A. D., and A. N. PETROV. "NONLINEAR QUANTUM MECHANICS WITH NONCLASSICAL GRAVITATIONAL SELF-INTERACTION III: RELATED TOPICS." International Journal of Modern Physics A 08, no. 16 (1993): 2709–34. http://dx.doi.org/10.1142/s0217751x93001089.

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Some problems are considered in the framework of general quantum mechanics with gravitational self-interaction constructed earlier. A number of them were analyzed for the stationary situation. Here, the problem of gauge invariance generated by translations which do not violate the 3 + 1 splitting is studied. The notions of position and momentum operators are extended to the general case. The uncertainty relations are obtained for the uncertainty of the Ricci tensor and for uncertainties of the position and momentum of a particle. The correspondence between the stationary and nonstationary case

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Castrillón, López, and Masqué Muñoz. "Hamiltonian structure of gauge-invariant variational problems." Advances in Theoretical and Mathematical Physics 16, no. 1 (2012): 39–63. http://dx.doi.org/10.4310/atmp.2012.v16.n1.a2.

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Kopeikin, Sergei M., Juan Ramirez, Bahram Mashhoon, and Mikhail V. Sazhin. "Cosmological perturbations: a new gauge-invariant approach." Physics Letters A 292, no. 3 (2001): 173–80. http://dx.doi.org/10.1016/s0375-9601(01)00777-0.

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FERRARIS, MARCO, MAURO FRANCAVIGLIA, MARCELLA PALESE, and EKKEHART WINTERROTH. "GAUGE-NATURAL NOETHER CURRENTS AND CONNECTION FIELDS." International Journal of Geometric Methods in Modern Physics 08, no. 01 (2011): 177–85. http://dx.doi.org/10.1142/s0219887811005075.

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We study geometric aspects concerned with symmetries and conserved quantities in gauge-natural invariant variational problems and investigate implications of the existence of a reductive split structure associated with canonical Lagrangian conserved quantities on gauge-natural bundles. In particular, we characterize the existence of covariant conserved quantities in terms of principal Cartan connections on gauge-natural prolongations.

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Dissertations / Theses on the topic "Gauge invariant variational approach"

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Brown, William Elvis. "The development of non-perturbative methods for supersymmetric and non-supersymmetric quantum field theories." Thesis, University of Oxford, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.244546.

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Ebadati, Ehsan [Verfasser], and Hugo [Akademischer Betreuer] Reinhardt. "Variational Hamiltonian Approach to the Quark Sector of QCD in Coulomb Gauge / Ehsan Ebadati ; Betreuer: Hugo Reinhardt." Tübingen : Universitätsbibliothek Tübingen, 2018. http://d-nb.info/1168729246/34.

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Cheng, Sibo. "Error covariance specification and localization in data assimilation with industrial application Background error covariance iterative updating with invariant observation measures for data assimilation A graph clustering approach to localization for adaptive covariance tuning in data assimilation based on state-observation mapping Error covariance tuning in variational data assimilation: application to an operating hydrological model." Thesis, université Paris-Saclay, 2020. http://www.theses.fr/2020UPAST067.

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Les méthodes d’assimilation de données et plus particulièrement les méthodes variationnelles sont mises à profit dans le domaine industriel pour deux grands types d’applications que sont la reconstruction de champ physique et le recalage de paramètres. Une des difficultés de mise en œuvre des algorithmes d’assimilation est que la structure de matrices de covariance d’erreurs, surtout celle d’ébauche, n’est souvent pas ou mal connue. Dans cette thèse, on s’intéresse à la spécification et la localisation de matrices de covariance dans des systèmes multivariés et multidimensionels, et dans un cad

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Books on the topic "Gauge invariant variational approach"

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Mercati, Flavio. Best Matching: Technical Details. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198789475.003.0005.

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The best matching procedure described in Chapter 4 is equivalent to the introduction of a principal fibre bundle in configuration space. Essentially one introduces a one-dimensional gauge connection on the time axis, which is a representation of the Euclidean group of rotations and translations (or, possibly, the similarity group which includes dilatations). To accommodate temporal relationalism, the variational principle needs to be invariant under reparametrizations. The simplest way to realize this in point–particle mechanics is to use Jacobi’s reformulation of Mapertuis’ principle. The cha

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Sorrentino, Alfonso. The Hamilton-Jacobi Equation and Weak KAM Theory. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691164502.003.0005.

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This chapter describes another interesting approach to the study of invariant sets provided by the so-called weak KAM theory, developed by Albert Fathi. This approach can be considered as the functional analytic counterpart of the variational methods discussed in the previous chapters. The starting point is the relation between KAM tori (or more generally, invariant Lagrangian graphs) and classical solutions and subsolutions of the Hamilton–Jacobi equation. It introduces the notion of weak (non-classical) solutions of the Hamilton–Jacobi equation and a special class of subsolutions (critical s

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Horing, Norman J. Morgenstern. Superfluidity and Superconductivity. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791942.003.0013.

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Chapter 13 addresses Bose condensation in superfluids (and superconductors), which involves the field operator ψ‎ having a c-number component (<ψ(x,t)>≠0), challenging number conservation. The nonlinear Gross-Pitaevskii equation is derived for this condensate wave function<ψ>=ψ−ψ˜, facilitating identification of the coherence length and the core region of vortex motion. The noncondensate Green’s function G˜1(1,1′)=−i<(ψ˜(1)ψ˜+(1′))+> and the nonvanishing anomalous correlation function F˜∗(2,1′)=−i<(ψ˜+(2)ψ˜+(1′))+> describe the dynamics and elementary excitations of the

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Book chapters on the topic "Gauge invariant variational approach"

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Haberzettl, H., C. Bennhold, T. Mart, and T. Feuster. "Kaon Photoproduction with Form Factors in a Gauge-invariant Approach." In Few-Body Problems in Physics ’98. Springer Vienna, 1999. http://dx.doi.org/10.1007/978-3-7091-6798-4_102.

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Ellis, G. F. R. "The Covariant and Gauge Invariant Approach to Perturbations in Cosmology." In Current Topics in Astrofundamental Physics: The Early Universe. Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-011-0095-3_1.

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Ashtekar, Abhay, Jerzy Lewandowski, Donald Marolf, José Mourāo, and Thomas Thiemann. "A manifestly gauge-invariant approach to quantum theories of gauge fields." In Geometry of Constrained Dynamical Systems. Cambridge University Press, 1995. http://dx.doi.org/10.1017/cbo9780511895722.009.

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Salmon, Rick. "Hamiltonian Fluid Dynamics." In Lectures on Geophysical Fluid Dynamics. Oxford University Press, 1998. http://dx.doi.org/10.1093/oso/9780195108088.003.0010.

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In this final chapter, we return to the subject of the first: the fundamental principles of fluid mechanics. In chapter 1, we derived the equations of fluid motion from Hamilton’s principle of stationary action, emphasizing its logical simplicity and the resulting close correspondence between mechanics and thermodynamics. Now we explore the Hamiltonian approach more fully, discovering its other advantages. The most important of these advantages arise from the correspondence between the symmetry properties of the Lagrangian and the conservation laws of the resulting dynamical equations. Therefore, we begin with a very brief introduction to symmetry and conservation laws. Noether’s theorem applies to the equations that arise from variational principles like Hamilton’s principle. According to Noether’s theorem : If a variational principle is invariant to a continuous transformation of its dependent and independent variables, then the equations arising from the variational principle possess a divergence-form conservation law. The invariance property is also called a symmetry property. Thus Noether’s theorem connects symmetry properties and conservation laws. We shall neither state nor prove the general form of Noether’s theorem; to do so would require a lengthy digression on continuous groups. Instead we illustrate the connection between symmetry and conservation laws with a series of increasingly complex and important examples. These examples convey the flavor of the general theory. Our first example is very simple. Consider a body of mass m moving in one dimension. The body is attached to the end of a spring with spring-constant K. Let x(t) be the displacement of the body from its location when the spring is unstretched.

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Conference papers on the topic "Gauge invariant variational approach"

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Palese, M., E. Winterroth, Piotr Kielanowski, et al. "Invariant Variational Problems and Cartan Connections on Gauge-Natural Bundles." In XXVIII WORKSHOP ON GEOMETRICAL METHODS IN PHYSICS. AIP, 2009. http://dx.doi.org/10.1063/1.3275588.

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Reinhardt, H., D. Campagnari, and M. Quandt. "Variational approach to QCD in Coulomb gauge." In CENTRAL EUROPEAN SYMPOSIUM ON THERMOPHYSICS 2019 (CEST). AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5114154.

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HABERZETTL, H., K. NAKAYAMA, and S. KREWALD. "GAUGE-INVARIANT APPROACH TO MESON PHOTOPRODUCTION INCLUDING THE FINAL-STATE INTERACTION." In Proceedings of the Workshop on the Physics of Excited Nucleons. WORLD SCIENTIFIC, 2006. http://dx.doi.org/10.1142/9789812773333_0006.

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Ślęczka, Marcin, and Adam Bechler. "Interaction of atomic systems with strong and short pulses: a new type of gauge invariant approach." In 18th Czech-Polish-Slovak Optical Conference on Wave and Quantum Aspects of Contemporary Optics, edited by Jan Peřina, Libor Nozka, Miroslav Hrabovský, Dagmar Senderáková, Waclaw Urbańczyk, and Ondrej Haderka. SPIE, 2012. http://dx.doi.org/10.1117/12.2009811.

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KONDO, KEI-ICHI. "A GAUGE-INVARIANT MECHANISM FOR QUARK CONFINEMENT AND A NEW APPROACH TO THE MASS GAP PROBLEM." In Proceedings of the 2006 International Workshop. WORLD SCIENTIFIC, 2008. http://dx.doi.org/10.1142/9789812790750_0009.

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Perreira, N. Duke. "Utilizing the Effort/Motion Approach in the Simulation of Interconnected Rigid Body Systems." In ASME 1997 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/detc97/dac-3850.

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Abstract The effort/motion approach has been developed for use in designing, simulating and controlling multibody systems. Some aspects of each of these topics are discussed here. In the effort/motion formulation two sets of equations based on the orthogonal projections of a dimensional gauge invariant form of Newton’s Second Law occur. The projections are onto the normal and tangent directions of a dimensional gauge invariant constraint surface. The paper shows how these equations are obtained for a particular linkage with redundant effort and motion actuation. Two alternative Runga-Kutta bas

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Liu, Xiaofeng, Bo Hu, Linghao Jin, et al. "Domain Generalization under Conditional and Label Shifts via Variational Bayesian Inference." In Thirtieth International Joint Conference on Artificial Intelligence {IJCAI-21}. International Joint Conferences on Artificial Intelligence Organization, 2021. http://dx.doi.org/10.24963/ijcai.2021/122.

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In this work, we propose a domain generalization (DG) approach to learn on several labeled source domains and transfer knowledge to a target domain that is inaccessible in training. Considering the inherent conditional and label shifts, we would expect the alignment of p(x|y) and p(y). However, the widely used domain invariant feature learning (IFL) methods relies on aligning the marginal concept shift w.r.t. p(x), which rests on an unrealistic assumption that p(y) is invariant across domains. We thereby propose a novel variational Bayesian inference framework to enforce the conditional distri

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Park, Frank C. "A Geometric Framework for Optimal Surface Design." In ASME 1992 Design Technical Conferences. American Society of Mechanical Engineers, 1992. http://dx.doi.org/10.1115/detc1992-0171.

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Abstract We present a Riemannian geometric framework for variational approaches to geometric design. Optimal surface design is regarded as a special case of the more general problem of finding a minimum distortion mapping between Riemannian manifolds. This geometric approach emphasizes the coordinate-invariant aspects of the problem, and engineering constraints are naturally embedded by selecting a suitable metric in the physical space. In this context we also present an engineering application of the theory of harmonic maps.

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