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In this work, we derive the conditions that assure gauge invariance of a non-minimal dimension-5 Lorentz-violating QED. The two and three point functions at one-loop are computed. The gauge Ward identities are checked and the conditions to…

High Energy Physics - Theory · Physics 2025-08-04 A. P. B. Scarpelli , A. R. Vieira

Quantum electrodynamics (QED) with self-conjugated equations with spinor wave functions for fermion fields is considered. In the low order of the perturbation theory, matrix elements of some of QED physical processes are calculated. The…

General Physics · Physics 2021-08-11 V. P. Neznamov , V. E. Shemarulin

In the in-out formalism we advance a new method to represent the gamma function for QED actions in supercritical fields, which is complementary to the proper-time integral representation in Phys. Rev. D 78, 105013 (2008) and Phys. Rev. D…

High Energy Physics - Theory · Physics 2014-06-18 Sang Pyo Kim , Hyun Kyu Lee

Lorentz violation through a radiatively induced Chern-Simons-like term in a fermionic theory embedded in linearized quantum gravity with a Lorentz- and CPT-violating axial-vector term in the fermionic sector proportional to a constant field…

High Energy Physics - Theory · Physics 2014-06-20 J. C. C. Felipe , A. R. Vieira , A. L. Cherchiglia , A. P. Baêta Scarpelli , Marcos Sampaio

We calculate the induced Lorentz- and CPT-violating Chern-Simons term arising from the Lorentz- and CPT-violating sector of quantum electrodynamics with a $b_\mu\bar{\psi}\gamma^\mu\gamma_5\psi$ term. The result to all orders in $b$…

High Energy Physics - Theory · Physics 2008-11-26 J. -M. Chung

The derivation of a convergent series representation for the quantum electrodynamic effective action obtained by two of us (S.R.V. and D.R.L.) in [Can. J. Phys. vol. 71, p. 389 (1993)] is reexamined. We present more details of our original…

High Energy Physics - Theory · Physics 2009-11-07 Ulrich D. Jentschura , Holger Gies , Sree Ram Valluri , Darrell R. Lamm , Ernst Joachim Weniger

In this work we derive the Lorentz-PCT-violating effective action for a fermion in a constant and uniform electromagnetic field using the Fock-Schwinger proper time method and extract the exact value of the coefficient of the…

High Energy Physics - Theory · Physics 2007-05-23 M. B. Hott , J. L. Tomazelli

This paper discusses an attempt to develop a mathematically rigorous theory of Quantum Electrodynamics (QED). It deviates from the standard version of QED mainly in two aspects: it is assumed that the Coulomb forces are carried by…

Quantum Physics · Physics 2019-01-07 Jan Naudts

We conjecture that the proper-time series expansion of the one-loop effective Lagrangian of quantum electrodynamics can be summed in all terms containing the field-strength invariants $\mathcal{F} = \frac{1}{4} F_{\mu\nu}F^{\mu\nu} (x)$,…

High Energy Physics - Theory · Physics 2021-04-28 Jose Navarro-Salas , Silvia Pla

We investigate the possibility of Lorentz and CPT violations in the photon sector, of the Chern-Simons form, be induced by radiative corrections arising from the Lorentz and CPT non-invariant fermionic sector of an extended version of QED.…

High Energy Physics - Theory · Physics 2011-07-19 O. A. Battistel , G. Dallabona

We consider quantum electrodynamics with an additional Lorentz- and CPT-violating axial-vector term in the fermionic sector and discuss the possibility that radiative corrections induce a Lorentz- and CPT-violating Chern-Simons-like term…

High Energy Physics - Theory · Physics 2009-11-07 C. Adam , F. R. Klinkhamer

In this paper, the induced Chern-Simons like action for a system of fermions interacting with a gauge field in (3 +1) dimensions is calculated in the presence of a background field that breaks the Lorentz and CPT symmetries. The main result…

High Energy Physics - Theory · Physics 2017-03-20 D. M. Oliveira

We consider an extended QED with the addition of a dimension-five Lorentz-breaking coupling between spinor and gauge fields, involving a pseudo-tensor $\kappa^{\mu\nu\lambda\rho}$. The specific form of the Lorentz violating coupling…

High Energy Physics - Theory · Physics 2023-02-02 A. J. G. Carvalho , A. F. Ferrari , A. M. de Lima , J. R. Nascimento , A. Yu. Petrov

We investigate the breakdown of Lorentz symmetry in QED by a CPT violating interaction term consisting of the coupling of an axial fermion current with a constant vector field $b$, in the framework of algebraic renormalization -- a…

High Energy Physics - Theory · Physics 2010-05-25 Oswaldo M. Del Cima , Jakson M. Fonseca , Daniel H. T. Franco , Olivier Piguet

Quantum photon effects in vacuum provide an interesting setting to test quantum electrodynamics, serving as a source for predictions about physics beyond the Standard Model. In this paper, we investigate these effects by calculating the…

High Energy Physics - Theory · Physics 2026-02-27 L. C. T. Brito , J. C. C. Felipe , A. C. Lehum , J. R. Nascimento , A. Yu. Petrov

We show that the ambiguity for the Chern-Simons-like term induced from quantum correction in the extended QED should have nothing to do with the approximation on the exact fermionic propagator, contradictory to the claim in Ref.[19].…

High Energy Physics - Theory · Physics 2009-07-10 W. F. Chen

If quantum gravity violates Lorentz symmetry, the prospects for observational guidance in understanding quantum gravity improve considerably. This article briefly reviews previous work on Lorentz violation (LV) and discusses aspects of the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Ted Jacobson , Stefano Liberati , David Mattingly

In this paper we evaluate the induced Lorentz and CPT violating Chern-Simons term in the QED action at finite temperature. We do this using the method of derivative expansion of fermion determinants. Also, we use the imaginary-time…

High Energy Physics - Theory · Physics 2007-05-23 J. R. S. Nascimento , R. F. Ribeiro , N. F. Svaiter

We consider the four-dimensional quantum electrodynamics extended with Myers-Pospelov Lorentz-violating dimension-5 operators to investigate 4D-2D projection. In projecting out the 4D theory down to a 2D theory we get analogs of these…

High Energy Physics - Theory · Physics 2013-05-30 F. A. Brito , M. S. Guimaraes , E. Passos , P. Sampaio , C. Wotzasek

We show for the first time that the induced parity--even Lorentz invariance violation can be unambiguously calculated in the physically justified and minimally broken dimensional regularization scheme, suitably tailored for a spontaneous…

High Energy Physics - Theory · Physics 2008-11-26 J. Alfaro , A. A. Andrianov , M. Cambiaso , P. Giacconi , R. Soldati