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Gauge fields are special in the sense that they are invariant under gauge transformations and \emph{``ipso facto''} they lead to problems when we try quantizing them straightforwardly. To circumvent this problem we need to specify a gauge…

High Energy Physics - Theory · Physics 2007-05-23 Alfredo T. Suzuki , J. H. O. Sales

We consider Kaplan's domain wall fermions in the presence of an Anti-de Sitter (AdS) background in the extra dimension. Just as in the flat space case, in a completely vector-like gauge theory defined after discretizing this extra…

High Energy Physics - Lattice · Physics 2009-09-17 Tanmoy Bhattacharya , Csaba Csaki , Matthew R. Martin , Yuri Shirman , John Terning

The problem of understanding the role of large gauge transformations in thermal field theories has recently inspired a number of studies of a one dimensional field theory. Such work has led to the conclusion that gauge invariance is…

High Energy Physics - Theory · Physics 2007-05-23 C. R. Hagen

We construct a class of Abelian and non-Abelian local gauge theories that consist only of matter fields of fermions. The Lagrangian is compact and local without containing an auxiliary vector field nor a subsidiary condition on the matter…

High Energy Physics - Theory · Physics 2016-07-13 Mahiko Suzuki

Gauge fields are special in the sense that they are invariant under gauge transformations and \QTR{em}{``ipso facto''} they lead to problems when we try quantizing them straightforwardly. To circumvent this problem we need to specify a…

Nuclear Theory · Physics 2009-11-10 Alfredo T. Suzuki , J. H. O. Sales

In strong (quasi-)Abelian fields, even at the one-loop level of the coupling constant, quantum fluctuations of fermions induce an effective Lagrangian density whose imaginary (absorptive) part is purely nonperturbative and known to be…

High Energy Physics - Phenomenology · Physics 2014-11-17 G. Cvetic , Ji-Young Yu

We discuss gravity-like formulations of massive Abelian and non-Abelian gauge field theories in four space-time dimensions with particular emphasis on the issue of gauge invariance. Alternative descriptions in terms of antisymmetric tensor…

High Energy Physics - Theory · Physics 2007-05-23 Dennis D. Dietrich

We study the production of chiral fermions in a background of a strong non-abelian gauge field with a non-vanishing Chern-Pontryagin density. We discuss both pair production analogous to the Schwinger effect as well as asymmetric production…

High Energy Physics - Phenomenology · Physics 2019-06-03 Valerie Domcke , Yohei Ema , Kyohei Mukaida , Ryosuke Sato

The influence of Lorentz- and CPT-violating terms of the extended Standard Model on a semi-classical two-level system is analyzed. It is shown that the Lorentz-violating background (when coupled with the fermion sector in a vector way) is…

High Energy Physics - Theory · Physics 2008-11-26 Manoel M. Ferreira , Adalto R. Gomes , Rafael C. C. Lopes

We consider the free propagation of totally symmetric massive bosonic fields in nontrivial backgrounds. The mutual compatibility of the dynamical equations and constraints in flat space amounts to the existence of an Abelian algebra formed…

High Energy Physics - Theory · Physics 2016-11-23 Rakibur Rahman , Massimo Taronna

We calculate the ultraviolet divergences in a weak field expansion of the Volkov propagator. This is done for the full Lorentz class of gauges. The expected gauge invariance of the vacuum mass shift in each sideband is recovered. However,…

High Energy Physics - Phenomenology · Physics 2020-01-08 Martin Lavelle , David McMullan

We survey the phenomenological constraints on abelian gauge bosons having masses in the MeV to multi-GeV mass range (using precision electroweak measurements, neutrino-electron and neutrino-nucleon scattering, electron and muon anomalous…

High Energy Physics - Phenomenology · Physics 2015-05-27 M. Williams , C. P. Burgess , Anshuman Maharana , F. Quevedo

We consider a class of models with infinite extra dimension, where bulk space does not possess SO(1,3) invariance, but Lorentz invariance emerges as an approximate symmetry of the low-energy effective theory. In these models, the maximum…

High Energy Physics - Theory · Physics 2014-11-18 S. L. Dubovsky

In this thesis we are interested in understanding how Lorentz symmetry violation can affect some features of fermion dynamics and, perhaps, help to solve some well-known problems in particle physics, such as the origin of neutrino masses…

High Energy Physics - Phenomenology · Physics 2016-12-28 Julio Leite

We study the dynamics of Abelian gauge fields invariant under transverse diffeomorphisms (TDiff) in cosmological contexts. We show that in the geometric optics approximation, very much as for Diff invariant theories, the corresponding…

General Relativity and Quantum Cosmology · Physics 2024-05-16 Antonio L. Maroto , Alfredo D. Miravet

We consider a scenario where local Lorentz invariance is violated by the existence of a preferred time direction at every space-time point. This scenario can arise in the context of quantum gravity and its description at low energies…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-16 B. Audren , D. Blas , M. M. Ivanov , J. Lesgourgues , S. Sibiryakov

Lorentz invariance is one of the basic ingredients of quantum field theories and violations of it are stringently constrained experimentally. Therefore, the possibility of Lorentz violation (LV) is usually realized at very high energy…

High Energy Physics - Phenomenology · Physics 2021-05-17 Andreas Crivellin , Fiona Kirk , Marco Schreck

We formulate a model for quantum gravity based on the local Lorentz symmetry and general coordinate invariance. A key idea is the irreversible vierbein postulate that a tree-level action for the model at a certain energy scale does not…

High Energy Physics - Theory · Physics 2025-05-21 Yadikaer Maitiniyazi , Shinya Matsuzaki , Kin-ya Oda , Masatoshi Yamada

Low-energy Lorentz-invariant quantities could receive contributions from a fundamental theory producing small Lorentz-violating effects. Within the Lorentz-violating extension of quantum electrodynamics, we investigate, perturbatively, the…

High Energy Physics - Phenomenology · Physics 2014-03-20 A. Moyotl , H. Novales-Sánchez , J. J. Toscano , E. S. Tututi

In this letter we reconsider the role of Lorentz invariance in the dynamical generation of the observed internal symmetries. We argue that, generally, Lorentz invariance can only be imposed in the sense that all Lorentz non-invariant…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. L. Chkareuli , C. D. Froggatt , H. B. Nielsen