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In this work we report new results concerning the question of dynamical mass generation in the Lorentz and PCT violating quantum electrodynamics. A one loop calculation for the vacuum polarization tensor is presented. The electron…

High Energy Physics - Theory · Physics 2008-11-26 G. Bonneau , L. C. Costa , J. L. Tomazelli

In this work, we compute some phenomenological bounds for the electromagnetic and massive gravitational high-derivative extensions supposing that it is possible to have an astrophysical process that generates simultaneously gravitational…

High Energy Physics - Theory · Physics 2017-08-30 E. Passos , M. A. Anacleto , F. A. Brito , O. Holanda , G. B. Souza , C. A. D. Zarro

We present a method for constructing a consistent low energy canonical formalism for higher order time-derivative theories, extending the Dirac method to include perturbative Hamiltonian constraints. We apply it to two paradigmatic…

High Energy Physics - Theory · Physics 2011-10-27 S. A. Martinez , R. Montemayor , L. F. Urrutia

In the presence of an external magnetic field, the Carroll-Field-Jackiw term introduces a displacement current proportional to the Lorentz-violating background that induces a time-dependent magnetic field. Axion-like particles or hidden…

High Energy Physics - Phenomenology · Physics 2020-03-18 P. C. Malta

The Myers-Pospelov (MP) model is an effective field theory, including dimension five operators, which describes the phenomenology of active Lorentz invariance violation produced by a preferred reference frame. We concentrate here in the…

High Energy Physics - Phenomenology · Physics 2007-12-21 C. M. Reyes , L. Urrutia , J. D. Vergara

Bound state poles in the $S$-matrix of perturbative QED are generated by the {\em divergence} of the expansion in $\alpha$. The perturbative corrections are necessarily singular when expanding around free, \order{\alpha^0} $in$ and $out$…

High Energy Physics - Phenomenology · Physics 2017-04-26 Paul Hoyer

Higher-order perturbative calculations in Quantum (Field) Theory suffer from the factorial increase of the number of individual diagrams. Here I describe an approach which evaluates the total contribution numerically for finite temperature…

High Energy Physics - Theory · Physics 2017-08-23 R. Rosenfelder

This paper defines the notion of generators for a class of decreasing radial Loewner chains which are only continuous with respect to time. For this purpose, "Loewner's integral equation" which generalizes Loewner's differential equation is…

Complex Variables · Mathematics 2021-05-25 Takahiro Hasebe , Ikkei Hotta

As an alternative to the covariant Ostrogradski method, we show that higher-derivative relativistic Lagrangian field theories can be reduced to second differential-order by writing them directly as covariant two-derivative theories…

High Energy Physics - Theory · Physics 2007-05-23 F. J. de Urries , J. Julve

The natural constraints for the weak-field approximation to composite gravity, which is obtained by expressing the gauge vector fields of the Yang-Mills theory based on the Lorentz group in terms of tetrad variables and their derivatives,…

General Relativity and Quantum Cosmology · Physics 2020-09-16 Hans Christian Öttinger

We analyse the perturbative four-point amplitudes in the simplest string theory examples of T-fold backgrounds, which enjoy N=6 supersymmetries in four dimensions. There are two theories defined as asymmetric orbifolds of order 2 and 3,…

High Energy Physics - Theory · Physics 2022-07-06 Massimo Bianchi , Guillaume Bossard , Dario Consoli

It has been known for some time that the standard MHV diagram formulation of perturbative Yang-Mills theory is incomplete, as it misses rational terms in one-loop scattering amplitudes of pure Yang-Mills. We propose that certain Lorentz…

High Energy Physics - Theory · Physics 2008-11-26 Andreas Brandhuber , Bill Spence , Gabriele Travaglini , Konstantinos Zoubos

Lorentz violation has been a popular field in recent years in the search for new physics beyond the Standard Model. We present a general method to build all Lorentz-violating terms in gauge field theories, including ones involving operators…

High Energy Physics - Phenomenology · Physics 2019-10-01 Zonghao Li

We develop a coarse-graining procedure for two-dimensional models of fluctuating loops by mapping them to interface models. The result is an effective field theory for the scaling limit of loop models, which is found to be a Liouville…

Condensed Matter · Physics 2015-06-25 Jane' Kondev

In certain Lorentz-covariant higher-derivative field theories of spins < or =1, would-be ultraviolet divergences generate color-singlet poles as infrared divergences. Absence of higher-order poles implies ten-dimensional supersymmetric…

High Energy Physics - Theory · Physics 2014-11-18 Kiyoung Lee , Warren Siegel

By defining two important terms called basic perturbation vectors and obtaining their linear bounds, we obtain the linear componentwise perturbation bounds for unitary factors and upper triangular factors of the generalized Schur…

Numerical Analysis · Mathematics 2022-04-21 Guihua Zhang , Hanyu Li , Yimin Wei

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

A perturbative approach is used to derive approximations of arbitrary order to estimate high percentiles of sums of positive independent random variables that exhibit heavy tails. Closed-form expressions for the successive approximations…

Applications · Statistics 2015-03-20 Lorenzo Hernández , Jorge Tejero , Alberto Suárez , Santiago Carrillo-Menéndez

Two-forms in Minkowski space-time may be considered as generators of Lorentz transformations. Here, the covariant and general expression for the composition law (Baker-Campbell-Hausdorff formula) of two Lorentz transformations in terms of…

General Relativity and Quantum Cosmology · Physics 2015-06-25 B. Coll , F. San Jose Martinez

A perturbation theory for Massive Thirring Model (MTM) in radial quantization approach is developed. Investigation of the twisted sector in this theory allows us to calculate the vacuum expectation values of exponential fields $ exp iaphi…

High Energy Physics - Theory · Physics 2008-11-26 V. V. Mkhitaryan , R. H. Poghossian , T. A. Sedrakyan