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The proof of one-loop renormalizability of the general Lorentz- and CPT-violating extension of quantum electrodynamics is described. Application of the renormalization-group method is discussed and implications for theory and experiment are…

High Energy Physics - Theory · Physics 2017-08-23 Austin G. M. Pickering

A comprehensive analysis on the photon self-energy, the fermion self-energy, and the fermion vertex function is presented at one loop in the context of quantum electrodynamics (QED) with 1 extra dimension. In 5-dimensional theories,…

High Energy Physics - Phenomenology · Physics 2020-02-26 E. Martínez-Pascual , G. Nápoles-Cañedo , H. Novales-Sánchez , A. Sierra-Martínez , J. J. Toscano

We study physical aspects for a new nonlinear electrodynamics (inverse electrodynamics). It is shown that this new electrodynamics displays the vacuum birefringence phenomenon in the presence of external magnetic field, hence we compute the…

High Energy Physics - Phenomenology · Physics 2021-10-27 Patricio Gaete , José A. Helayël-Neto

In this work, we calculate the one-loop self-energy corrections to the gauge field in scalar electrodynamics modified by Lorentz-violating terms within the framework of the standard model extension (SME). We focus on both $CPT$-even and…

High Energy Physics - Theory · Physics 2023-07-11 M. C. Araújo , J. Furtado , R. V. Maluf

In this work, we mainly study the one-loop effective action for real scalar theories in non-homogeneous backgrounds in odd dimensions. It is shown that through the method studied in Ref. [1], it is possible to obtain a unified result for…

High Energy Physics - Theory · Physics 2011-04-06 Burak Tevfik Kaynak

We calculate and discuss the one-loop corrections to the photon sector of QED interacting to a background gravitational field. At high energies the fermion field can be taken as massless and the quantum terms can be obtained by integrating…

High Energy Physics - Theory · Physics 2013-05-29 Bruno Gonçalves , Guilherme de Berredo-Peixoto , Ilya L. Shapiro

The one-loop renormalizability of the electroweak sector of the Standard Model Extension with Lorentz violation is studied. Functional determinants are used to calculate the one-loop contributions of the higgs, gauge bosons and fermions to…

High Energy Physics - Phenomenology · Physics 2009-08-03 Don Colladay , Patrick McDonald

The possibility of a small modification of spinor Quantum Electro-Dynamics is reconsidered, in which Lorentz and CPT non-covariant kinetic terms for photons and fermions are present. The corresponding free field theory is carefully…

High Energy Physics - Theory · Physics 2014-11-18 A. A. Andrianov , P. Giacconi , R. Soldati

We investigate the precisely measured anomalous magnetic moment and Lamb shift as tests for the possible existence of the radiatively induced Lorentz and CPT violation effects in quantum electrodynamics. To this end we calculate the…

High Energy Physics - Phenomenology · Physics 2009-10-31 W. F. Chen , G. Kunstatter

We consider an interacting Lifshitz field with z=3 in a curved spacetime. We analyze the renormalizability of the theory for interactions of the form lambda phi^n, with arbitrary even n. We compute the running of the coupling constants both…

High Energy Physics - Theory · Physics 2012-02-03 Diana L. López Nacir , Francisco D. Mazzitelli , Leonardo G. Trombetta

We provide the first step towards renormalization in a nonminimal Lorentz-violating model consisting of normal scalars and modified fermions with mass dimension five operators. We compute the radiative corrections corresponding to the…

High Energy Physics - Phenomenology · Physics 2019-07-04 J. R. Nascimento , A. Yu. Petrov , C. M. Reyes

In this dissertation, we study the implications generated by the Lorentz breaking symmetry in quantum electrodynamics. We analyze fermions interacting with an electromagnetic field in the contexts of quantum mechanics and make radiative…

Quantum Physics · Physics 2010-07-27 D. M. Oliveira

Various studies have already considered radiative corrections in Lorentz-violating models unveiling many instances where a minimal or nonminimal operator generates, via loop corrections, a contribution to the photon sector of the…

High Energy Physics - Phenomenology · Physics 2019-07-03 A. F. Ferrari

We consider one loop quantum corrections to soliton mass for the ${\cal N}=1$ supersymmetric extension of the (1+1)-dimensional scalar field theory with the potential $U(\phi) = \phi^2 \cos^2\left(\ln \phi^2\right)$. First, we compute the…

High Energy Physics - Theory · Physics 2018-12-19 A. R. Aguirre , G. Flores-Hidalgo

We develop a coordinate space renormalization of massless Quantum Electrodynamics using the powerful method of differential renormalization. Bare one-loop amplitudes are finite at non-coincident external points, but do not accept a Fourier…

High Energy Physics - Phenomenology · Physics 2009-10-22 Peter E. Haagensen , Jose I. Latorre

We examine radiative corrections arising from Lorentz violating dimension five operators presumably associated with Planck scale physics as recently considered by Myers and Pospelov. We find that observational data result in bounds on the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Alejandro Perez , Daniel Sudarsky

The explicit one-loop renormalizability of pure Yang-Mills theory with Lorentz violation is demonstrated. The result is consistent with multiplicative renormalization as the required counter terms are consistent with a single re-scaling of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Don Colladay , Patrick McDonald

We derive the conditions for matching high-energy renormalizable Quantum Field Theories onto low-energy nonrenormalizable ones by means of the FDR approach described in Fortsch.Phys. 63 (2015) 132-141. Our procedure works order-by-order in…

High Energy Physics - Phenomenology · Physics 2019-11-15 Roberto Pittau

Asymptotic single-particle states in quantum field theories with small departures from Lorentz symmetry are investigated perturbatively with focus on potential phenomenological ramifications. To this end, one-loop radiative corrections for…

High Energy Physics - Theory · Physics 2014-09-10 Mauro Cambiaso , Ralf Lehnert , Robertus Potting

We show that when the dynamical dimension of the $\bar{\psi}\psi$ operator is reduced from three to two in a fermion electrodynamics with scaling, a $g(\bar{\psi}\psi)^2+g(\bar{\psi}i\gamma^5\psi)^2$ four-fermion interaction which is…

High Energy Physics - Theory · Physics 2017-10-11 Philip D. Mannheim