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We calculate the condensate and the vacuum current density induced by external static magnetic fields in (2+1)-dimensions. At the perturbative level, we consider an exponentially decaying magnetic field along one cartesian coordinate.…

High Energy Physics - Phenomenology · Physics 2014-11-21 Alfredo Raya , Edward Reyes

Modifications of the electromagnetic Maxwell Lagrangian in four dimensions have been considered by some authors. One may include an explicit massive term (Proca) and a topological but not Lorentz-invariant term within certain observational…

High Energy Physics - Theory · Physics 2016-08-16 M. Botta Cantcheff , C. F. L. Godinho , A. P. Baêta Scarpelli , J. A. Helayël-Neto

Considering the recent advances, the weak correlation between the massive Kalb-Ramond and the Proca interacting models is investigated by means of a set of complementary quantum field techniques beyond the semi-classical approach. A…

High Energy Physics - Theory · Physics 2024-03-14 G. B. de Gracia

The creation of quark-antiquark pairs by vacuum polarisation in the presence of classical fields is studied based on their propagators in the background. Especially the issue of gauge invariance and particularities of particle production in…

High Energy Physics - Phenomenology · Physics 2017-08-23 Dennis D. Dietrich

An exact representation of the Euclidean fermion determinant in two dimensions for centrally symmetric, finite-ranged Abelian background fields is derived. Input data are the wave function inside the field's range and the scattering phase…

High Energy Physics - Theory · Physics 2009-11-10 M. P. Fry

A calculation of the QED vacuum polarization potential in the Coulomb field of a pointlike nucleus was presented in an earlier publication by the author and his collaborators. Corrections up to order $\alpha^2 (Z\alpha)^7$ were evaluated,…

Atomic Physics · Physics 2026-04-29 Sergey Volkov

The one-loop vacuum polarization tensor is computed in QED with an external constant, homogeneous magnetic field at finite temperature. The Schwinger proper-time formalism is used and the computations are done in Euclidian space. The…

High Energy Physics - Theory · Physics 2009-10-31 Jean Alexandre

We study the vacuum polarization of a massive scalar field $\phi$ with arbitrary coupling to gravity in pointlike global monopole spacetime. Using Schwinger-DeWitt proper time formalism, we calculate the vacuum expectation value…

General Relativity and Quantum Cosmology · Physics 2020-07-01 Owen Pavel Fernández Piedra

In this work we calculate the functional generator of the Green's functions of the Kalb-Ramond field in 3+1 dimensions. We also calculate the functional generator, and corresponding Casimir energy, of the same field when it is submitted to…

High Energy Physics - Theory · Physics 2014-11-18 F. A. Barone , L. M. De Moraes , J. A. Helayel-Neto

Recent ultra-intense lasers of subcritical fields and proposed observations of the x-rays polarization from highly magnetized neutron stars of supercritical fields have attracted attention to vacuum birefringence, a unique feature of…

High Energy Astrophysical Phenomena · Physics 2025-04-08 Chul Min Kim , Sang Pyo Kim

We discuss a new approach for putting gauge theories on the lattice. The gauge fields are defined on the lattice only, but are interpolated to the interior of the lattice cells, where they couple to continuum fermions. The purpose of this…

High Energy Physics - Lattice · Physics 2007-05-23 Christof Gattringer

In this paper, we discuss Galilean relativistic Maxwell theory in detail. We first provide a set of mapping relations, derived systematically, that connect the covariant and contravariant vectors in the Lorentz relativistic and Galilean…

High Energy Physics - Theory · Physics 2023-05-29 Rabin Banerjee , Soumya Bhattacharya

We study massless Dirac fermions in a supercritical Coulomb potential with the emphasis on that its low-energy physics is universal and parametrized by a single quantity per supercritical angular momentum channel. This low-energy parameter…

Mesoscale and Nanoscale Physics · Physics 2014-10-16 Yusuke Nishida

In high energy heavy ion collisions as well as in astrophysical objects like magnetars extreme magnetic field strengths are reached. Thus, there exists a need to calculate divers QED processes to all orders in the magnetic field. We…

High Energy Physics - Phenomenology · Physics 2010-09-09 Simon Wolfgang Mages , Matthias Aicher , Andreas Schäfer

Variational (Rayleigh-Ritz) methods are applied to local quantum field theory. For scalar theories the wave functional is parametrized in the form of a superposition of Gaussians and the expectation value of the Hamiltonian is expressed in…

High Energy Physics - Theory · Physics 2016-08-25 George Tiktopoulos

Some effects of vacuum polarization in QED due to the presence of field sources are investigated. We focus on effects with no counter-part in Maxwell electrodynamics. The the Uehling interaction energy between two stationary point-like…

High Energy Physics - Theory · Physics 2019-05-27 M. F. X. P. Medeiros , F. E. Barone , F. A. Barone

We show that two recent independent proposals for regularizing a chiral gauge theory stem from one common trick. If the anomaly free complex representation carried by the right handed fermi--fields is $r$ one constructs a vector like theory…

High Energy Physics - Lattice · Physics 2009-10-22 Rajamani Narayanan , Herbert Neuberger

We show that when the induced parity breaking part of the effective action for the low-momentum region of U(1) x ... x U(1) Maxwell gauge field theory with massive fermions in 3 dimensions is coupled to a \phi^4 scalar field theory, it is…

High Energy Physics - Theory · Physics 2009-10-31 Emil M. Prodanov , Siddhartha Sen

In this study, we investigate the fermionic Schwinger effect in the presence of a constant magnetic field within $(1+3)-$dimensional Minkowski spacetime, considering both constant and pulsed electric fields. We analyze the correlations…

High Energy Physics - Theory · Physics 2025-01-28 Shagun Kaushal

We find general non-linear lagrangians of a U(1) field invariant under electric-magnetic duality. They are characterized by an arbitrary function and go to the Maxwell theory in the weak field limit. We give some explicit examples which are…

High Energy Physics - Theory · Physics 2009-10-31 Machiko Hatsuda , Kiyoshi Kamimura , Sayaka Sekiya