Academic literature on the topic 'Classical theory of fields'

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Journal articles on the topic "Classical theory of fields"

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Kupferman, Raz, Elihu Olami, and Reuven Segev. "Stress theory for classical fields." Mathematics and Mechanics of Solids 25, no. 7 (August 8, 2017): 1472–503. http://dx.doi.org/10.1177/1081286517723697.

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Classical field theories, together with the Lagrangian and Eulerian approaches to continuum mechanics, are embraced under a geometric setting of a fiber bundle. The base manifold can be either the body manifold of continuum mechanics, the space manifold, or space–time. Differentiable sections of the fiber bundle represent configurations of the system and the configuration space containing them is given the structure of an infinite-dimensional manifold. Elements of the cotangent bundle of the configuration space are interpreted as generalized forces and a representation theorem implies that there exists a stress object representing forces, non-uniquely. The properties of stresses are studied, as well as the role of constitutive relations in this general setting.
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Noltingk, Duncan. "Classical history theory of vector fields." Journal of Mathematical Physics 43, no. 6 (June 2002): 3036–52. http://dx.doi.org/10.1063/1.1473218.

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Jakovác, A. "Viscosity of scalar fields from classical theory." Physics Letters B 446, no. 3-4 (January 1999): 203–8. http://dx.doi.org/10.1016/s0370-2693(98)01496-8.

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STAPP, HENRY P. "Gauge-Fields and Integrated Quantum-Classical Theory." Annals of the New York Academy of Sciences 480, no. 1 New Technique (December 1986): 326–35. http://dx.doi.org/10.1111/j.1749-6632.1986.tb12436.x.

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Hirayama, T., and B. Holdom. "Classical simulation of quantum fields I." Canadian Journal of Physics 84, no. 10 (October 1, 2006): 861–77. http://dx.doi.org/10.1139/p06-083.

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We study classical field theories in a background field configuration where all modes of the theory are excited, matching the zero-point energy spectrum of quantum field theory. Our construction involves elements of a theory of classical electrodynamics by Wheeler–Feynman and the theory of stochastic electrodynamics of Boyer. The nonperturbative effects of interactions in these theories can be very efficiently studied on the lattice. In [Formula: see text] theory in 1 + 1 dimensions, we find results, in particular, for mass renormalization and the critical coupling for symmetry breaking that are in agreement with their quantum counterparts. We then study the perturbative expansion of the n-point Green's functions and find a loop expansion very similar to that of quantum field theory. When compared to the usual Feynman rules, we find some differences associated with particular combinations of internal lines going on-shell simultaneously. PACS Nos.: 03.70.+k, 03.50.–z, 11.15.Tk
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SARDANASHVILY, G. "GEOMETRY OF CLASSICAL HIGGS FIELDS." International Journal of Geometric Methods in Modern Physics 03, no. 01 (February 2006): 139–48. http://dx.doi.org/10.1142/s0219887806001065.

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In gauge theory, Higgs fields are responsible for spontaneous symmetry breaking. In classical gauge theory on a principal bundle P, a symmetry breaking is defined as the reduction of a structure group of this principal bundle to a subgroup H of exact symmetries. This reduction takes place if and only if there exists a global section of the quotient bundle P/H. It is a classical Higgs field. A metric gravitational field exemplifies such a Higgs field. We summarize the basic facts on the reduction in principal bundles and geometry of Higgs fields. Our goal is the particular covariant differential in the presence of a Higgs field.
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Bae, Sunghan, and Ja Kyung Koo. "genus theory for function fields." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 60, no. 3 (June 1996): 301–10. http://dx.doi.org/10.1017/s1446788700037824.

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GARCÍA-COMPEÁN, H., J. F. PLEBAŃSKI, M. PRZANOWSKI, and F. J. TURRUBIATES. "DEFORMATION QUANTIZATION OF CLASSICAL FIELDS." International Journal of Modern Physics A 16, no. 14 (June 10, 2001): 2533–58. http://dx.doi.org/10.1142/s0217751x01003652.

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We study the deformation quantization of scalar and Abelian gauge classical free fields. Stratonovich–Weyl quantizer, star products and Wigner functionals are obtained in field and oscillator variables. The Abelian gauge theory is particularly intriguing since the Wigner functional is factorized into a physical part and the other one containing the constraints only. Some effects of nontrivial topology within the deformation quantization formalism are also considered.
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Hirayama, T., B. Holdom, R. Koniuk, and T. Yavin. "Classical simulation of quantum fields II." Canadian Journal of Physics 84, no. 10 (October 1, 2006): 879–90. http://dx.doi.org/10.1139/p06-082.

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We consider the classical time evolution of a real scalar field in two-dimensional Minkowski space with a [Formula: see text] interaction. We compute the spatial and temporal two-point correlation functions and extract the renormalized mass of the interacting theory. We find our results are consistent with the one- and two-loop quantum computation. We also perform Monte Carlo simulations of the quantum theory and conclude that the classical scheme is able to produce more accurate results with a fraction of the CPU time. PACS Nos.: 03.70.+k, 03.50.–z, 11.15.Tk
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SCHMITT, T. "FUNCTIONALS OF CLASSICAL FIELDS IN QUANTUM FIELD THEORY." Reviews in Mathematical Physics 07, no. 08 (November 1995): 1249–301. http://dx.doi.org/10.1142/s0129055x95000463.

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Many methods of modern quantum field theory rely heavily on functionals of classical fields; this notion is however problematic whenever anticommuting fields are present. We propose a calculus for such functionals which avoids the use of auxiliary Grassmann algebras, and which relies on an infinite-dimensional version of Berezin-Leites supermanifold theory. We begin by studying “functional power series expansions” without growth conditions; this already allows to make e.g. the Yang-Mills action functional with fermionic, anticommuting matter fields a well-defined mathematical object. We introduce analytical conditions on power series which enable us to substitute them into each other, and we globalize them to superfunctionals. Also, infinitesimal transformation laws of the fields are discussed.
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Dissertations / Theses on the topic "Classical theory of fields"

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Roulstone, Ian. "Twister theory and the infrared problems of classical fields." Thesis, University of Oxford, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.259829.

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Schritt, Dimitri. "Symmetries in quantum and classical field theories." Thesis, University of Canterbury. Physics and Astronomy, 2013. http://hdl.handle.net/10092/8032.

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The initial chapter of the thesis provides a review of Weinberg’s formalism for the derivation of quantum fields. The formalism is extended to allow for the derivation of quantum fields with more than one spin degree of freedom. It is conjectured that it may be possible to construct massive bosonic quantum field theories of any desired spin j that are consistent and unitary at all energies without the need for regulator terms by including j + 1 spin degrees of freedom: j, j - 1, down to j - j. The concept is then demonstrated in two subsequent chapters by the derivation of a quantum field with spin one and spin zero degrees of freedom followed the derivation of a quantum field with spin two, spin one, and spin zero degrees of freedom. Both field theories are found to be consistent and unitary at all energies without the need for regulator terms. The final two chapters are on unrelated topics. The penultimate chapter provides an explicit derivation of quantum fields for massless particles of spin one-half. In the final chapter, a derivation of the free-space Proca and Maxwell equations is provided via a consistent identification of the linear combinations of the classical fields of the (1,0) and (0,1) representations of the orthochronous Lorentz group.
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Dolby, C. E. "A state-space based approach to Quantum Field Theory in classical background fields." Thesis, University of Cambridge, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.598590.

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This dissertation is concerned with a new formulation of fermionic quantum field theory in classical (electromagnetic or gravitational) backgrounds, which uses methods analogous to those used in conventional multiparticle quantum mechanics. Emphasis is placed on the states of the system, described in terms of Slater determinants, rather than on the field operator, ψ(x). The vacuum state 'at time τ', defined as the Slater determinant of a basis for the span of the negative spectrum of the 'first quantized' Hamiltonian H1 (τ), provides a concrete realisation of the Dirac Sea. By using the concept of 'radar time', I propose a generalisation of the concept of 'hypersurface of simultaneity', which can be applied to an arbitrarily moving observer in curved spacetime. This is used to provide a consistent particle interpretation for this observer, which depends only on the choice of observer and the background present, not on the choice of coordinates, the choice of gauge (in electromagnetic backgrounds) or the detailed construction of the observer's particle detector. It is also the first definition that does not rely on the spacetime possessing any convenient symmetries. I show that in the cases of a uniformly accelerating observer in flat space (Unruh effect), and a comoving observer in an exponentially inflating universe, my definition reduces to previously accepted definitions. Although this definition is necessarily non-local (no local definition of particle could possibly be consistent with the Unruh effect) I demonstrate with a simple example that this non-locality is only significant on scales of the order of the Compton wavelength λc = h/mc of the particle concerned. The general S-matrix element of the theory is derived in terms of time-dependent Bogoliubov coefficients, demonstrating that this follows directly from the definition of inner product between Slater determinants. The process of 'Hermitian extension', inherited directly from conventional multiparticle quantum mechanics, allows second quantized operators to be defined without appealing to a complete set of orthonormal modes, and provides an extremely straightforward derivation of the general expectation value of the theory. Applications of the formalism to pair creation in spatially uniform electric fields, and to the treatment of discrete symmetries, are presented.
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HERAT, ATHULA RAVINDRA. "CURVATURE DEPENDENCE OF CLASSICAL SOLUTIONS EXTENDED TO HIGHER DIMENSIONS." University of Cincinnati / OhioLINK, 2003. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1060257141.

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Nguyen, Duc Tho. "Classical and semi-classical analysis of magnetic fields in two dimensions." Thesis, Rennes 1, 2019. http://www.theses.fr/2019REN1S045/document.

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Ce manuscrit est consacré à l'étude de la mécanique classique et la mécanique quantique en présence d'un champ magnétique. En mécanique classique, nous utilisons un Hamiltonien pour décrire la dynamique d'une particule chargée dans un domaine soumis à un champ magnétique. Nous nous intéressons ici à deux problèmes classiques de physique : le problème de confinement et le problème de scattering. Dans le cas quantique, nous étudions le problème spectral du laplacien magnétique au niveau semi-classique dans des domaines de dimension deux: sur une variété Riemanienne compacte à bord et dans ℝ ². En supposant que le champ magnétique ait un unique minimum strictement positif et non-dégénéré, nous pouvons décrire les fonctions propres par les méthodes WKB. Grâce au théorème spectral, nous pouvons estimer efficacement les vraies fonctions propres et les fonctions propres approchées localement proche du minimum du champ magnétique. Dans ℝ ², sous l'hypothèse additionnelle d'une symétrie radiale du champ magnétique, nous pouvons montrer que les fonctions propres du laplacien magnétique décroissent de manière exponentielle à l'infini avec une vitesse contrôlée par la fonction phase de la procédure WKB. De plus, les fonctions propres sont très bien approchées dans un espace à poids exponentiel
This manuscript is devoted to classical mechanics and quantum mechanics, especially in the presence of magnetic field. In classical mechanics, we use Hamiltonian dynamics to describe the motion of a charged particle in a domain affected by the magnetic field. We are interested in two classical physical problems: the confinement and the scattering problem. In the quantum case, we study the spectral problem of the magnetic Laplacian at the semi-classical level, in two-dimensional domains: on a compact Riemmanian manifold with boundary and on ℝ ². Under the assumption that the magnetic field has a unique positive and non-degenerate minimum, we can describe the eigenfunctions by WKB methods. Thanks to the spectral theorem, we estimated efficiently the true eigenfunctions and the approximate eigenfunctions locally near the minimum point of the magnetic field. On ℝ ², with the additional assumption that the magnetic field is radially symmetric, we can show that the eigenfunctions of the magnetic Laplacian decay exponentially at infinity and at a rate controlled by the phase function created in WKB procedure. Furthermore, the eigenfunctions are very well approximated in an exponentially weighted space
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Biswas, Ranajit K. "The classical theory of field evaporation." Thesis, Aston University, 1987. http://publications.aston.ac.uk/8080/.

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The field evaporation literature has been carefully analysed and is shown to contain various confusions. After redefining consistent terminology, this thesis investigates the mechanisms of field evaporation, in particular, the relevance of the theoretical mechanisms by analysing the available experimental data. A new formalism `extended image-hump formalism' is developed and is used to devise several tests of whether the image-hump mechanism is operating. The general conclusion is that in most cases the Mueller mechanism is not operating and escape takes place via Gomer-type mechanisms.
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Wüster, Sebastian. "Classical and quantum field theory of Bose-Einstein condensates /." View thesis entry in Australian Digital Theses Program, 2007. http://thesis.anu.edu.au/public/adt-ANU20070802.161045/index.html.

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Thesis (Ph.D) -- Australian National University, 2007.
DVD contains movies in .mov (macintosh quicktime) and .mpg formats, providing additional visualisation of the material discussed in the thesis. It also contains the source files for figures within the thesis as well as sample numerical code that was used for the research. The accompanying .txt files provide a brief description of the movie and a link to the relevant part of the thesis. Also contains some files in pdf format.
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Wong, Chik Him. "A theoretical study on the static and dynamic transport properties of classical wave in 1D random media /." View abstract or full-text, 2007. http://library.ust.hk/cgi/db/thesis.pl?PHYS%202007%20WONG.

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Matsuda, Hidefumi. "Shear viscosity of classical fields using the Green-Nakano-Kubo formula on a lattice." Doctoral thesis, Kyoto University, 2021. http://hdl.handle.net/2433/263463.

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Wuester, Sebastian, and sebastian wuester@gmx net. "Classical and Quantum Field Theory of Bose-Einstein Condensates." The Australian National University. Faculty of Science, 2007. http://thesis.anu.edu.au./public/adt-ANU20070802.161045.

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We study the application of Bose-Einstein condensates (BECs) to simulations of phenomena across a number of disciplines in physics, using theoretical and computational methods. ¶ Collapsing condensates as created by E. Donley et al. [Nature 415, 39 (2002)] exhibit potentially useful parallels to an inflationary universe. To enable the exploitation of this analogy, we check if current quantum field theories describe collapsing condensates quantitatively, by targeting the discrepancy between experimental and theoretical values for the time to collapse. To this end, we couple the lowest order quantum field correlation functions to the condensate wavefunction, and solve the resulting Hartree-Fock-Bogoliubov equations numerically. Complementarily, we perform stochastic truncated Wigner simulations of the collapse. Both methods also allow us to study finite temperature effects. ¶ We find with neither method that quantum corrections lead to a faster collapse than is predicted by Gross-Pitaevskii theory. We conclude that the discrepancy between the experimental and theoretical values of the collapse time cannot be explained by Gaussian quantum fluctuations or finite temperature effects. Further studies are thus required before the full analogue cosmology potential of collapsing condensates can be utilised. ¶ As the next project, we find experimental parameter regimes in which stable three-dimensional Skyrmions can exist in a condensate. We show that their stability in a harmonic trap depends critically on scattering lengths, atom numbers, trap rotation and trap anisotropy. In particular, for the Rb87 |F=1,m_f=-1>, |F=2,m_f=1> hyperfine states, stability is sensitive to the scattering lengths at the 2% level. We find stable Skyrmions with slightly more than 2*10^6 atoms, which can be stabilised against drifting out of the trap by laser pinning. ¶ As a stepping stone towards Skyrmions, we propose a method for the stabilisation of a stack of parallel vortex rings in a Bose-Einstein condensate. The method makes use of a ``hollow'' laser beam containing an optical vortex, which realises an optical tunnel for the condensate. Using realistic experimental parameters, we demonstrate numerically that our method can stabilise up to 9 vortex rings. ¶ Finally, we focus on analogue gravity, further exploiting the analogy between flowing condensates and general relativistic curved space time. We compare several realistic setups, investigating their suitability for the observation of analogue Hawking radiation. We link our proposal of stable ring flows to analogue gravity, by studying supersonic flows in the optical tunnel. We show that long-living immobile condensate solitons generated in the tunnel exhibit sonic horizons, and discuss whether these could be employed to study extreme cases in analogue gravity. ¶ Beyond these, our survey indicates that for conventional analogue Hawking radiation, simple outflow from a condensate reservoir, in effectively one dimension, has the best properties. We show with three dimensional simulations that stable sonic horizons exist under realistic conditions. However, we highlight that three-body losses impose limitations on the achievable analogue Hawking temperatures. These limitations vary between the atomic species and favour light atoms. ¶ Our results indicate that Bose-Einstein condensates will soon be useful for interdisciplinary studies by analogy, but also show that the experiments will be challenging.
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Books on the topic "Classical theory of fields"

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Lifshit͡s, E. M. (Evgeniĭ Mikhaĭlovich), ed. The classical theory of fields. 4th ed. Singapore: Elsevier (Singapore) Pte Ltd., 2007.

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1908-, Landau Lev Davidovich. The classical theory of fields. 4th ed. Oxford: Butterworth Heinemann, 2000.

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M, Lifshit͡s E., ed. The classical theory of fields. 4th ed. Oxford [England]: Butterworth Heinemann, 1995.

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Helrich, Carl S. The Classical Theory of Fields. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-23205-3.

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Classical field theory: Electromagnetism and gravitation. New York: Wiley, 1997.

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Jędrzej, Śniatycki, and Fischer Hans 1939-, eds. Geometry of classical fields. Amsterdam: North-Holland, 1988.

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service), SpringerLink (Online, ed. The Classical Theory of Fields: Electromagnetism. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012.

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Ribenboim, Paulo. The theory of classical valuations. New York: Springer, 1999.

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Scheck, Florian. Classical Field Theory. Berlin, Heidelberg: Springer Berlin Heidelberg, 2018. http://dx.doi.org/10.1007/978-3-662-55579-8.

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Scheck, Florian. Classical Field Theory. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-27985-0.

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Book chapters on the topic "Classical theory of fields"

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Ribenboim, Paulo. "Commutative Fields." In Classical Theory of Algebraic Numbers, 13–31. New York, NY: Springer New York, 2001. http://dx.doi.org/10.1007/978-0-387-21690-4_2.

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Marathe, Kishore. "Theory of Fields, I: Classical." In Topics in Physical Mathematics, 169–206. London: Springer London, 2010. http://dx.doi.org/10.1007/978-1-84882-939-8_6.

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Álvarez-Gaumé, Luis, and Miguel Á. Vázquez-Mozo. "From Classical to Quantum Fields." In An Invitation to Quantum Field Theory, 11–32. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-23728-7_2.

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Rejzner, Kasia. "Classical Theory." In Perturbative Algebraic Quantum Field Theory, 59–81. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-25901-7_4.

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Ireland, Kenneth, and Michael Rosen. "Finite Fields." In A Classical Introduction to Modern Number Theory, 79–87. New York, NY: Springer New York, 1990. http://dx.doi.org/10.1007/978-1-4757-2103-4_7.

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Ribenboim, Paulo. "Local Methods for Cyclotomic Fields." In Classical Theory of Algebraic Numbers, 339–66. New York, NY: Springer New York, 2001. http://dx.doi.org/10.1007/978-0-387-21690-4_17.

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Ribenboim, Paulo. "Class Numbers of Quadratic Fields." In Classical Theory of Algebraic Numbers, 567–93. New York, NY: Springer New York, 2001. http://dx.doi.org/10.1007/978-0-387-21690-4_26.

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Ribenboim, Paulo. "Class Number of Cyclotomic Fields." In Classical Theory of Algebraic Numbers, 595–616. New York, NY: Springer New York, 2001. http://dx.doi.org/10.1007/978-0-387-21690-4_27.

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Greiner, Walter, and Joachim Reinhardt. "Classical Field Theory." In Field Quantization, 31–54. Berlin, Heidelberg: Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-642-61485-9_2.

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Arodź, Henryk, and Dr Leszek Hadasz. "Scalar Fields." In Lectures on Classical and Quantum Theory of Fields, 33–62. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-15624-3_3.

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Conference papers on the topic "Classical theory of fields"

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Olkhov, Oleg A., Guillaume Adenier, Andrei Yu Khrennikov, Pekka Lahti, Vladimir I. Man'ko, and Theo M. Nieuwenhuizen. "Geometrization of Classical Wave Fields." In Quantum Theory. AIP, 2007. http://dx.doi.org/10.1063/1.2827325.

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Biró, T. S., S. G. Matinyan, and B. Müller. "CHAOTIC QUANTIZATION OF CLASSICAL GAUGE FIELDS." In Proceedings of the Johns Hopkins Workshop on Current Problems in Particle Theory 24. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812799968_0014.

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Cardin, Franco. "Global finite generating functions for field theory." In Classical and Quantum Integrability. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2003. http://dx.doi.org/10.4064/bc59-0-6.

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Khrennikov, Andrei, Guillaume Adenier, Andrei Yu Khrennikov, Pekka Lahti, Vladimir I. Man'ko, and Theo M. Nieuwenhuizen. "Prequantum Classical Statistical Field Theory—PCSFT." In Quantum Theory. AIP, 2007. http://dx.doi.org/10.1063/1.2827293.

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Khrennikov, Andrei. "Quantum Mechanics as an Asymptotic Projection of Statistical Mechanics of Classical Fields." In QUANTUM THEORY: Reconsideration of Foundations - 3. AIP, 2006. http://dx.doi.org/10.1063/1.2158721.

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Torre, C. G., Carlos Herdeiro, and Roger Picken. "Symmetric Criticality in Classical Field Theory." In XIX INTERNATIONAL FALL WORKSHOP ON GEOMETRY AND PHYSICS. AIP, 2011. http://dx.doi.org/10.1063/1.3599128.

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Khrennikov, Andrei. "Prequantum Classical Statistical Field Theory: Fundamentals." In ADVANCES IN QUANTUM THEORY: Proceedings of the International Conference on Advances in Quantum Theory. AIP, 2011. http://dx.doi.org/10.1063/1.3567436.

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'T HOOFT, GERARD. "CLASSICAL CELLULAR AUTOMATA AND QUANTUM FIELD THEORY." In Quantum Mechanics, Elementary Particles, Quantum Cosmology and Complexity. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814335614_0037.

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Yavin, Tzahi, Takayuki Hirayama, Bob Holdom, and Roman Koniuk. "Classical simulation of quantum lambda phi^4." In XXIIIrd International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2005. http://dx.doi.org/10.22323/1.020.0254.

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Tiburzi, Brian. "Lattice QCD with Classical and Quantum Electrodynamics." In XXIX International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2012. http://dx.doi.org/10.22323/1.139.0020.

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Reports on the topic "Classical theory of fields"

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Krommes, J. A. Non-Gaussian statistics, classical field theory, and realizable Langevin models. Office of Scientific and Technical Information (OSTI), November 1995. http://dx.doi.org/10.2172/211662.

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Brannon, Rebecca Moss, Jeffrey A. Burghardt, Stephen J. Bauer, and David R. Bronowski. Experimental assessment of unvalidated assumptions in classical plasticity theory. Office of Scientific and Technical Information (OSTI), January 2009. http://dx.doi.org/10.2172/948711.

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Adler, Robert J. Theory and Application of Random Fields. Fort Belvoir, VA: Defense Technical Information Center, October 1988. http://dx.doi.org/10.21236/ada204388.

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Gupta, S. N. Quantum Theory of Fields. Progress Report. Office of Scientific and Technical Information (OSTI), September 1996. http://dx.doi.org/10.2172/823805.

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Adler, Robert J. Theory and Application of Random Fields. Fort Belvoir, VA: Defense Technical Information Center, January 1992. http://dx.doi.org/10.21236/ada246958.

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Adler, Robert J. Theory and Applications of Random Fields. Fort Belvoir, VA: Defense Technical Information Center, November 1986. http://dx.doi.org/10.21236/ada182768.

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Salsbury Jr., Freddie. Magnetic fields and density functional theory. Office of Scientific and Technical Information (OSTI), February 1999. http://dx.doi.org/10.2172/753893.

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Adler, Robert J. Theory and Applications of Random Fields. Fort Belvoir, VA: Defense Technical Information Center, October 1985. http://dx.doi.org/10.21236/ada162277.

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Zurek, Wojciech H. Quantum Theory of the Classical: Einselection, Envariance, and Quantum Darwinism. Office of Scientific and Technical Information (OSTI), April 2013. http://dx.doi.org/10.2172/1073733.

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Zoller, D. A classical theory of continuous spin and hidden gauge invariance. Office of Scientific and Technical Information (OSTI), January 1991. http://dx.doi.org/10.2172/5813339.

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