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In the classical vacuum Maxwell-Lorentz theory the self-force of a charged point particle is infinite. This makes classical mass renormalization necessary and, in the special relativistic domain, leads to the Abraham-Lorentz-Dirac equation…

General Relativity and Quantum Cosmology · Physics 2015-10-12 Jonathan Gratus , Volker Perlick , Robin W. Tucker

In this paper, we investigate an electrodynamics in which the physical modes are coupled to a Lorentz-violating (LV) background by means of a higher-derivative term. We analyze the modes associated with the dispersion relations (DRs)…

High Energy Physics - Theory · Physics 2018-07-04 Rodolfo Casana , Manoel M. Ferreira, , Letícia Lisboa-Santos , Frederico E. P. dos Santos , Marco Schreck

Maxwell's equations are invariant under both duality rotations and conformal transformations. Recently Bandos, Lechner, Sorokin, and Townsend have found a nonlinear generalisation of electrodynamics which possesses both of these symmetries.…

General Relativity and Quantum Cosmology · Physics 2020-12-14 Daniel Flores-Alfonso , Blanca Angélica González-Morales , Román Linares , Marco Maceda

We confirm the stability of Podolsky's generalized electrodynamics by constructing a series of two-parametric bounded conserved quantities which includes the canonical energy-momentum tensors. In addition, we evaluate the…

High Energy Physics - Theory · Physics 2021-08-18 Jialiang Dai

The relativistic theories of light propagation are generalized by introducing two new parameters $\varsigma$ and $\eta$ in the second post-Newtonian (2PN) order, in addition to the parameterized post-Newtonian parameters $\gamma$ and…

General Relativity and Quantum Cosmology · Physics 2015-05-26 Xue-Mei Deng

In this work we report new results concerning the question of dynamical mass generation in the Lorentz and PCT violating quantum electrodynamics. A one loop calculation for the vacuum polarization tensor is presented. The electron…

High Energy Physics - Theory · Physics 2008-11-26 G. Bonneau , L. C. Costa , J. L. Tomazelli

Through use of the Pauli-Villars regulator procedure we construct a second- plus fourth-order-derivative theory of gravity that serves as an ultraviolet completion of standard second-order-derivative quantum Einstein gravity that is…

High Energy Physics - Theory · Physics 2024-04-26 Philip D. Mannheim

Motivated by obtaining a consistent mathematical description for the radiation reaction of point charged particles in linear classical electrodynamics, a theory of generalized higher order tensors and differential forms is introduced. The…

Differential Geometry · Mathematics 2013-09-20 Ricardo Gallego Torromé

A covariant gauge independent derivation of the generalized dispersion relation of electromagnetic waves in a medium with local and linear constitutive law is presented. A generalized photon propagator is derived. For Maxwell constitutive…

High Energy Physics - Theory · Physics 2008-11-26 Yakov Itin

Dimensional regularization is applied to the computation of the gravitational wave field generated by compact binaries at the third post-Newtonian (3PN) approximation. We generalize the wave generation formalism from isolated post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2007-12-19 Luc Blanchet , Thibault Damour , Gilles Esposito-Farese , Bala R. Iyer

The techniques of Pauli-Villars regularization and discrete light-cone quantization are combined to analyze Yukawa theory in a single-fermion truncation. A special form of the Lanczos algorithm is constructed for diagonalization of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. R. Hiller

Generalisations of the relativistic ideal Ohm's law are presented that include specific dynamical features of the current carrying particles in a plasma. Cases of interest for space and laboratory plasmas are identified where these…

Plasma Physics · Physics 2015-11-09 F. Pegoraro

This article investigates the full Boltzmann equation up to second order in the cosmological perturbations. Describing the distribution of polarized radiation by a tensor valued distribution function, we study the gauge dependence of the…

General Relativity and Quantum Cosmology · Physics 2018-06-28 Cyril Pitrou

A manifestly gauge invariant and regularized renormalization group flow equation is constructed for pure SU(N) gauge theory in the large N limit. In this way we make precise and concrete the notion of a non-perturbative gauge invariant…

High Energy Physics - Theory · Physics 2009-12-10 Tim R. Morris

Most current pulsar emission models assume photon production and emission within the magnetosphere. Low frequency radiation is preferentially produced in the vicinity of the polar caps whereas the high-energy tail is shifted to regions…

High Energy Astrophysical Phenomena · Physics 2018-03-21 Jérôme Pétri

We present a complete reevaluation of the irreducible two-loop vacuum-polarization correction to the photon propagator in quantum electrodynamics, i.e. with an electron-positron pair in the fermion propagators. The integration is carried…

High Energy Physics - Phenomenology · Physics 2024-07-11 S. Laporta , U. D. Jentschura

The main goal of the present paper is to study how polarization of photons affects their motion in a gravitational field created by a rotating massive compact object. We study propagation of the circularly polarized beams of light in a…

General Relativity and Quantum Cosmology · Physics 2011-09-08 Valeri P. Frolov , Andrey A. Shoom

We show that the Pauli-Villars regularized action for a scalar field in a gravitational background in 1+1 dimensions has, for any value of the cutoff M, a symmetry which involves non-local transformations of the regulator field plus (local)…

High Energy Physics - Theory · Physics 2009-10-31 Cesar D. Fosco , Francisco D. Mazzitelli

The divergence of the photon self - energy diagram in spinor quantum electrodynamics in $(2+1)$ dimensional space time- $(QED_3)$ is studied by the Pauli - Villars regularization and dimensional regularization. Results obtained by two…

High Energy Physics - Theory · Physics 2009-04-09 Nguyen Suan Han , Nguyen Nhu Xuan

We present a relation which connects the propagator in the radial (Fock-Schwinger) gauge with a gauge invariant Wilson loop. It is closely related to the well-known field strength formula and can be used to calculate the radial gauge…

High Energy Physics - Theory · Physics 2009-10-30 Stefan Leupold , Heribert Weigert