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The effect of static electromagnetic fields on the propagation of light is analyzed in the context of a particular class of scalar-tensor gravitational theories. It is found that for appropriate field configurations and light polarization,…

General Relativity and Quantum Cosmology · Physics 2013-10-10 T. E. Raptis , F. O. Minotti

Nonperturbative and perturbative interaction mechanisms of Wilson loops in gluodynamics are studied within the background field formalism. The first one operates when distance between minimal surfaces of the loops is small and may be…

High Energy Physics - Phenomenology · Physics 2014-11-17 V. Shevchenko , Yu. Simonov

Recently, solutions of the Ishibashi, Kawai, Kitazawa and Tsuchiya matrix theory have been found, which can be interpreted as 3+1-dimensional quantum geometries describing an effective Friedmann-Lema\^{i}tre-Robertson-Walker cosmology with…

General Relativity and Quantum Cosmology · Physics 2023-05-02 Emmanuele Battista , Harold C. Steinacker

Two forms are available for the fermion propagator at finite temperature and density. It is shown that, when one deals with a diquark-condensation-operator inserted Green function in hot and dense QCD, the standard form of the quark…

High Energy Physics - Theory · Physics 2009-11-07 A. Niégawa

We derive the Feynman rules for the graviton in the presence of a flat Robertson-Walker background and give explicit expressions for the propagator in the physically interesting cases of inflation, radiation domination, and matter…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J. Iliopoulos , T. N. Tomaras , N. C. Tsamis , R. P. Woodard

A generalized canonical formulation of the theory of the electromagnetic Fokker interaction for a system of two particles is proposed. The functional integral on the generalized phase space is defined as the initial one in quantum theory.…

Quantum Physics · Physics 2020-02-11 Natalia Gorobey , Alexander Lukyanenko , A. V. Goltsev

In this paper it is studied the propagator for the modified theory of gravity proposed by Ho\vrava. We first calculate the propagator in the $\lambda=1$ case and show that the main poles that arise correspond to the spin two particle and…

High Energy Physics - Theory · Physics 2012-07-12 F. S. Bemfica , M. Gomes

We consider the problem of wave propagation for a 2-D rectilinear optical waveguide which presents some perturbation. We construct a mathematical framework to study such a problem and prove the existence of a solution for the case of small…

Analysis of PDEs · Mathematics 2009-11-13 Giulio Ciraolo , Rolando Magnanini

We consider scalar field theory in a changing background field. As an example we study the simple case of a spatially varying mass for which we construct the semiclassical approximation to the propagator. The semiclassical dispersion…

High Energy Physics - Phenomenology · Physics 2009-10-31 Michael Joyce , Kimmo Kainulainen , Tomislav Prokopec

The Klein-Gordon equation in the presence of a spatially one-dimensional Hulth\'en potential is solved exactly and the scattering solutions are obtained in terms of hypergeometric functions. The transmission coefficient is derived by the…

Quantum Physics · Physics 2007-10-16 Jian You Guo , Xiang Zheng Fang , Chuan Mei Xie

Using a general-order ab initio many-body Green's function method, we numerically illustrate several pathological behaviors of the Feynman-Dyson diagrammatic perturbation expansion of one-particle many-body Green's functions as electron…

Quantum Physics · Physics 2024-04-29 So Hirata , Ireneusz Grabowski , J. V. Ortiz , Rodney J. Bartlett

Previous work in the literature has studied gravitational radiation in black-hole collisions at the speed of light. In particular, it had been proved that the perturbative field equations may all be reduced to equations in only two…

General Relativity and Quantum Cosmology · Physics 2018-10-18 Giampiero Esposito

The Lorentz covariant theory of propagation of light in the (weak) gravitational fields of N-body systems consisting of arbitrarily moving point-like bodies with constant masses is constructed. The theory is based on the Lienard-Wiechert…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sergei M. Kopeikin , Gerhard Schafer

The thermal Wightman functions for free, massless particles of spin 0, 1/2, 1, 3/2, and 2 are computed directly in coordinate space by solving the appropriate differential equation and imposing the Kubo-Martin-Schwinger condition. The…

High Energy Physics - Phenomenology · Physics 2009-10-31 H. Arthur Weldon

We construct local, unitary gauge theories that violate Lorentz symmetry explicitly at high energies and are renormalizable by weighted power counting. They contain higher space derivatives, which improve the behavior of propagators at…

High Energy Physics - Theory · Physics 2009-03-12 Damiano Anselmi

In a gauge theory, the gauge invariant Hilbert space is unchanged by the coupling to arbitrary local operators. In the presence of Wilson loops, though, the physical Hilbert space must be enlarged by adding test electric charges along the…

High Energy Physics - Theory · Physics 2022-06-15 Robert D. Pisarski

In Rindler space, we consider the Feynman Green's functions associated with either the Fulling-Rindler vacuum or the Minkowski vacuum. In Euclidean field theory, they becomes respectively the Euclidean Green's functions $G_{\infty}$ and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 B. Linet

It is showed that complex scalar fields with a self-interaction potential may propagate along null geodesics on flat Friedmann--Lema\^itre--Robertson--Walker universes with different time-dependent scale factors. This occurs provided they…

General Relativity and Quantum Cosmology · Physics 2021-06-16 Felipe A. Asenjo , Sergio A. Hojman

Dong, Munczek and Roberts have shown how the full 3-point vertex that appears in the Schwinger-Dyson equation for the fermion propagator can be expressed in terms of a constrained function $W_1$ in massless quenched QED. However, this…

High Energy Physics - Phenomenology · Physics 2009-10-30 A. Bashir , A. Kizilersu , M. R. Pennington

A variety of unitary gauges for perturbation theory in a background field is considered in order to find those most suitable for a Hamiltonian treatment of the system. We select two convenient gauges and derive the propagators $D_{\mu\nu}$…

High Energy Physics - Theory · Physics 2007-05-23 A. Dubin , D. Wyler