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Related papers: Nonminimal planar electrodynamics modified by high…

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We consider a higher-derivative extension of QED modified by the addition of a gauge-invariant dimension-6 kinetic operator in the U(1) gauge sector. The Feynman diagrams at one-loop level are then computed. The modification in the spin-1…

High Energy Physics - Theory · Physics 2016-08-29 Rodrigo Turcati , Mário Júnior Neves

We examine extensions of the Standard Model (SM), basing our assumptions on what has already been observed; we don't consider anything fundamentally different, such as grand unification or supersymmetry, which is not directly suggested by…

High Energy Physics - Phenomenology · Physics 2009-10-28 C. D. Froggatt , H. B. Nielsen , D. J. Smith

In the present paper we study some new classical Lorentz violating effects in planar electrodynamics due to the presence of stationary point-like field sources. Starting from the Carroll-Field-Jackiw model defined in (3+1) dimensions, which…

High Energy Physics - Theory · Physics 2024-01-11 L. H. C. Borges , A. F. Ferrari , P. H. O. da Silva , F. A. Barone

In this work the generation of generalized Chern-Simons terms in three dimensional quantum electrodynamics with high spatial derivatives is studied. We analyze the self-energy corrections to the gauge field propagator by considering an…

High Energy Physics - Theory · Physics 2013-10-03 Van Sérgio Alves , B. Charneski , M. Gomes , Leonardo Nascimento , Francisco Peña

We study an Abelian gauged $O(5)$ Skyrme model in $4+1$ dimensions, featuring the $F^4$ Maxwell and the Chern-Simons terms. Our aim is to expose the mechanism, discovered in the analogous Abelian gauged $O(3)$ Skyrme model in $2+1$…

High Energy Physics - Theory · Physics 2021-01-27 Francisco Navarro-Lerida , Eugen Radu , D. H. Tchrakian

We study magnetic monopoles in a Lorentz- and CPT-odd electrodynamical framework in (3+1) dimensions. This is the standard Maxwell model extended by means of a Chern-Simons-like term, $b_\mu\tilde{F}^{\mu\nu}A_\nu$ ($b_\mu$ constant), which…

High Energy Physics - Theory · Physics 2008-11-26 N. M. Barraz , J. M. Fonseca , W. A. Moura-Melo , J. A. Helayël-Neto

2+1 dimensional massless scalar QED with $(\phi^*\phi)^3$ scalar self-coupling is modified by the addition of a non- minimal Chern-Simons term that couples the dual of the electromagnetic field strength to the covariant current of the…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. E. Carrington , G. Kunstatter

The supersymmetric quantum mechanics of a two-dimensional non-relativistic particle subject to external magnetic and electric fields is studied in a superfield formulation and with the typical non-minimal coupling of (2+1) dimensions. Both…

High Energy Physics - Theory · Physics 2009-11-10 Ricardo C. Paschoal , José A. Helayël-Neto , Leonardo P. G. de Assis

We construct extensions of the Standard Model in which the gauge symmetries and supersymmetry prevent the dangerously large effects that may potentially be induced in a supersymmetric standard model by Planck scale physics. These include…

High Energy Physics - Phenomenology · Physics 2008-11-26 Hsin-Chia Cheng , Bogdan A. Dobrescu , Konstantin T. Matchev

In this work, we investigate radiative corrections in the higher-order extension of the Maxwell-Chern-Simons model coupled to standard spinor matter in $2+1$ dimensions. We begin analyzing the higher-order gauge sector, where we find the…

High Energy Physics - Theory · Physics 2025-09-01 Ricardo Avila , Albert Yu. Petrov , Carlos M. Reyes , César Riquelme , Angel Sanchez

We study the effect of a Chern-Simons term on the electrically charged and spinning solitons of several $U(1)$ gauged models in $2+1$ dimensions. These are vortices of complex scalar field theories, both with and without symmetry breaking…

High Energy Physics - Theory · Physics 2017-04-26 Francisco Navarro-Lerida , Eugen Radu , D. H. Tchrakian

Non-linear electrodynamics arising in the frames of field theories in non-commutative space-time is examined on the base of the Riemann-Silberstein-Majorana-Oppenheimer formalism. The problem of form-invariance of the non-linear…

Mathematical Physics · Physics 2011-09-12 V. Red'kov , E. Tolkachev

Non-abelian Chern-Simons theories coupled to fermions are known to provide an interesting class of non-supersymmetric conformal fixed points \cite{Giombi:2011kc}. These theories, particularly those based on bifundamental matter, are…

High Energy Physics - Theory · Physics 2017-10-30 V. Gurucharan , Shiroman Prakash

We study the electron propagator in quantum electrodynamics in lower dimensions. In the case of free electrons, it is well known that the propagator in momentum space takes the simple form $S_F(p)=1/(\gamma\cdot p-m)$. In the presence of…

High Energy Physics - Theory · Physics 2014-11-20 Gabriela Murguia , Alfredo Raya , Angel Sanchez , Edward Reyes

We consider an extension of the conventional quantum Heisenberg algebra, assuming that coordinates as well as momenta fulfil nontrivial commutation relations. As a consequence, a minimal length and a minimal mass scale are implemented. Our…

High Energy Physics - Theory · Physics 2011-02-22 Martin Kober , Piero Nicolini

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

In this paper, we consider an electrodynamics of higher derivatives coupled to a Lorentz-violating background tensor. Specifically, we are interested in a dimension-five term of the CPT-odd sector of the nonminimal Standard-Model Extension.…

High Energy Physics - Theory · Physics 2019-10-01 Manoel M. Ferreira , Letícia Lisboa-Santos , Roberto V. Maluf , Marco Schreck

In a series of papers, Quesne and Tkachuk (J. Phys. A: Math. Gen. \textbf{39}, 10909 (2006); Czech. J. Phys. \textbf{56}, 1269 (2006)) presented a $D+1$-dimensional $(\beta,\beta')$-two-parameter Lorentz-covariant deformed algebra which…

High Energy Physics - Theory · Physics 2013-10-16 S. K. Moayedi , M. R. Setare , B. Khosropour

We classify extended Abelian Chern-Simons theories with gauge group $U(1)^n$ as extended $(2+1)$-dimensional topological quantum field theories. For an even integral nondegenerate lattice $(\Lambda,K)$, let $(G_K,q_K)$ denote its…

Quantum Algebra · Mathematics 2026-04-06 Daniel Galviz

In 2+1 dimensions, we propose a renormalizable non-linear sigma model action which describes the $\mathcal{N}=2$ supersymmetric generalization of Galilean Electrodynamics. We first start with the simplest model obtained by null reduction of…

High Energy Physics - Theory · Physics 2022-10-19 Stefano Baiguera , Lorenzo Cederle , Silvia Penati