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Related papers: Pauli-Villars Regularization Elucidated in Bopp-Po…

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We consider the interaction between a charged scalar boson and the Bopp-Podolsky gauge fields. The Bopp-Podolsky (BP) electrodynamics possesses both massive and massless propagation modes for the photon, while preserving gauge invariance.…

High Energy Physics - Theory · Physics 2020-08-11 Ilane Gomes Oliveira , Jorge Henrique Sales , Ronaldo Thibes

We investigate the feasibility of probing Bopp-Land\'e-Thomas-Podolsky generalized electrodynamics with traveling and standing wave experiments. We consider wave propagation in vacuum and in a cold and non-magnetized plasma. Dispersion…

General Relativity and Quantum Cosmology · Physics 2025-12-18 Altin Shala , Volker Perlick

We study a regularization of the Pauli-Villars kind of the one loop gravitational divergences in any dimension. The Pauli-Villars fields are massive particles coupled to gravity in a covariant and nonminimal way, namely one real tensor and…

High Energy Physics - Theory · Physics 2009-10-22 Damiano Anselmi

Podolsky electrodynamics, a higher-derivative extension of Maxwell's theory characterized by the Podolsky parameter $\lambda=1/m$, which modifies the photon dispersion relation and regularizes short-distance divergences, is investigated.…

High Energy Physics - Theory · Physics 2026-04-20 D. S. Cabral , L. A. S. Evangelista , A. F. Santos

In this paper, we give an update on divergent problems concerning the radiative corrections of quantum electrodynamics in $(3+1)$ dimensions. In doing so, we introduce a geometric adaptation for the covariant photon propagator by including…

High Energy Physics - Theory · Physics 2022-06-17 David Montenegro

We present a finite-temperature study of Bopp-Podolsky electrodynamics, following electron-proton plasmas through one- and two-loop order with dimensional regularisation and hard-thermal-loop resummation. The higher-derivative operator is…

High Energy Physics - Phenomenology · Physics 2025-08-05 Prabhat Singh , Punit Kumar

We analyze wave propagation in the vacuum of Podolsky regularized electrodynamics. Two kinds of waves were found in the theory: the traditional non-dispersive waves of Maxwell electrodynamics, and a dispersive wave reminiscent of wave…

Classical Physics · Physics 2011-09-16 Roberto Baginski B. Santos

We address the problem of nonperturbative calculations on the light front in quantum field theory regularized by Pauli-Villars method. As a preliminary step we construct light front Hamiltonians in (2+1)-dimensional $\lambda\phi^4$ model,…

High Energy Physics - Theory · Physics 2015-05-06 M. Yu. Malyshev , S. A. Paston , E. V. Prokhvatilov , R. A. Zubov

Dynamical symmetries of Born-Infeld theory can be absorbed into the spacetime geometry, giving rise to relativistic kinematics with an additional invariant acceleration scale. The standard Poincare group P is thereby enhanced to its…

High Energy Physics - Theory · Physics 2009-11-07 Frederic P. Schuller , Mattias N. R. Wohlfarth , Thomas W. Grimm

We compute the beta function at one loop for Yang-Mills theory using as regulator the combination of higher covariant derivatives and Pauli-Villars determinants proposed by Faddeev and Slavnov. This regularization prescription has the…

High Energy Physics - Theory · Physics 2009-10-28 C. P. Martin , F. Ruiz Ruiz

In this paper, we investigate the so-called Bopp-Podolsky electrodynamics. The Bopp-Podolsky electrodynamics is a prototypical gradient field theory with weak nonlocality in space and time. The Bopp-Podolsky electrodynamics is a Lorentz and…

Classical Physics · Physics 2020-05-07 Markus Lazar

We show that regularization of gauge theories by higher covariant derivatives and gauge invariant Pauli-Villars regulators is a consistent method if the Pauli-Villars vector fields are considered in a covariant in the regulating…

High Energy Physics - Theory · Physics 2009-10-28 M. Asorey , F. Falceto

We generalise the relativistic expression of Ohm's law by studying a multi-fluid system of charged species using the 1+3 covariant formulation of general relativistic electrodynamics. This is done by providing a fully relativistic, fully…

Astrophysics · Physics 2009-11-13 Alejandra Kandus , Christos G. Tsagas

Using the Pauli-Villars regularization and arguments from convex analysis, we construct solutions to the classical time-independent Maxwell equations in Dirac's vacuum, in the presence of small external electromagnetic sources. The vacuum…

Mathematical Physics · Physics 2013-06-27 Philippe Gravejat , Christian Hainzl , Mathieu Lewin , Eric Séré

We study the regularization and renormalization of the Yang-Mills theory in the framework of the manifestly invariant formalism, which consists of a higher covariant derivative with an infinitely many Pauli-Villars fields. Unphysical…

High Energy Physics - Theory · Physics 2009-10-31 Koh-ichi Nittoh

In this letter we argue that there is no ambiguity between the Pauli-Villars and other methods of regularization in (2+1)-dimensional quantum electrodynamics with respect to dynamical mass generation, provided we properly choose the…

High Energy Physics - Theory · Physics 2009-10-28 B. M. Pimentel , J. L. Tomazelli

We consider the null-plane dynamics for a reduced-order version of the higher-derivatives Bopp-Podoslky generalized electrodynamics model. By introducing an auxiliary vector field, we achieve a simpler equivalent version with lower…

High Energy Physics - Theory · Physics 2025-01-03 Mario C. Bertin , Ronaldo Thibes

The general relativistic corrections in the equations of motion and associated energy of a binary system of point-like masses are derived at the third post-Newtonian (3PN) order. The derivation is based on a post-Newtonian expansion of the…

General Relativity and Quantum Cosmology · Physics 2009-12-31 Luc Blanchet , Guillaume Faye

A procedure for Pauli-Villars regularization of locally and globally supersymmetric theories is described. Implications for specific theories, especially those obtained from superstrings, are discussed with emphasis on the role of field…

High Energy Physics - Theory · Physics 2007-05-23 Mary K. Gaillard

In Ref. [1], the spacetime geometry generated by compact objects in $(2+1)$-dimensional Bopp-Podolsky electrodynamics is derived. Using a perturbative approach, the authors derived a charged BTZ-like black hole solution and computed…

General Relativity and Quantum Cosmology · Physics 2025-07-16 Faizuddin Ahmed , Ahmad Al-Badawi , Abdelmalek Bouzenada , Erdem Sucu , İzzet Sakallı
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