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In this paper, we study the one-loop effective potential of a derivative four-fermion model. As a result, an exact bumblebee-like potential is radiatively generated. Afterwards, we generalize our study for a finite temperature case and…

High Energy Physics - Theory · Physics 2024-10-10 R. Araujo , T. Mariz , J. R. Nascimento , A. Yu. Petrov

We investigate thick-brane solutions within the five-dimensional bumblebee gravity in the presence of a real scalar field. Specifically, we implement the Lorentz symmetry breaking scenario within this context and obtain brane-like…

High Energy Physics - Theory · Physics 2024-10-22 M. A. Marques , R. Menezes , A. Yu. Petrov , P. J. Porfírio

We consider the abelian vector-field models in the presence of the Wess-Zumino interaction with the pseudoscalar matter. The occurence of the dynamic breaking of Lorentz symmetry at classical and one-loop level is described for massless and…

High Energy Physics - Theory · Physics 2010-11-01 A. A. Andrianov , R. Soldati

The breaking of Lorentz symmetry via a dynamical mechanism, with a tensor field which takes on a non-zero expectation value in vacuum, has been a subject of significant research activity in recent years. In certain models of this type, the…

High Energy Physics - Phenomenology · Physics 2010-04-06 Michael D. Seifert

We study two dimensional $\mathcal{N} = (2, 2)$ Landau-Ginzburg models with tensor valued superfields with the aim of constructing large central charge superconformal field theories which are solvable using large $N$ techniques. We…

High Energy Physics - Theory · Physics 2020-01-08 Chi-Ming Chang , Sean Colin-Ellerin , Mukund Rangamani

We examine the basic conservation laws for diffeomorphism symmetry in the context of spontaneous diffeomorphism and local Lorentz-symmetry breaking. The conservation laws are used as constraints on a generic series of terms in an expansion…

General Relativity and Quantum Cosmology · Physics 2021-05-13 Quentin G. Bailey

Spontaneous violation of Lorentz symmetry by the vacuum condensation of an antisymmetric $2$-tensor is considered. The coset construction for nonlinear realization of spacetime symmetries is employed to build the most general low-energy…

High Energy Physics - Theory · Physics 2016-11-23 Carlos A. Hernaski

We examine one- and two-dimensional (1D and 2D) models of linearly coupled lattices of the discrete-nonlinear-Schr{\"{o}}dinger type. Analyzing ground states of the systems with equal powers in the two components, we find a…

Pattern Formation and Solitons · Physics 2010-12-10 G. Herring , P. G. Kevrekidis , B. A. Malomed , R. Carretero-Gonzalez , D. J. Frantzeskakis

We carry a Monte Carlo study of the coupled two-scalar $\lambda\phi^2_1 \phi^2_2$ model in three dimensions. We find no trace of Inverse Symmetry Breaking in the region of negative $\lambda$'s for which the one-loop effective potential…

High Energy Physics - Lattice · Physics 2009-10-30 G. Bimonte , D. Iñiguez , A. Tarancón , C. L. Ullod

In a recently proposed model in which a vector non-Abelian gauge field interacts with an antisymmetric tensor field, it has been shown that the tensor field possesses no physical degrees of freedom. This formal demonstration is tested by…

High Energy Physics - Theory · Physics 2009-11-11 F. Chishtie , M. Gagné-Portelance , T. Hanif , S. Homayouni , D. G. C. McKeon

We study the renormalizable abelian vector-field models in the presence of the Wess-Zumino interaction with the pseudoscalar matter. The renormalizability is achieved by supplementing the standard kinetic term of vector fields with higher…

High Energy Physics - Theory · Physics 2007-05-23 A. A. Andrianov , R. Soldati

In this work we propose a new gravitational setup formulated in terms of two interacting vierbein fields. The theory is the fully diffeomorphism and local Lorentz invariant extension of a previous construction which involved a fixed…

High Energy Physics - Theory · Physics 2019-01-21 Chrysoula Markou , Felix J. Rudolph , Angnis Schmidt-May

Spontaneous discrete symmetry breaking can be described in the framework of Projected Entangled Pair States (PEPS) by linearly superposing local tensors belonging to two (or more) symmetry classes of tensors. This is illustrated in the case…

Strongly Correlated Electrons · Physics 2018-07-10 Ji-Yao Chen , Sylvain Capponi , Didier Poilblanc

We present a solution of the coupled Einstein and rank-two antisymmetric tensor field equations where Lorentz symmetry is spontaneously broken, and we discuss its observational signatures. Especially, the deflection angles have important…

General Relativity and Quantum Cosmology · Physics 2012-04-30 Xin-zhou Li , Ping Xi , Qun Zhang

The advantages and disadvantages of some pedagogical non-relativistic quantum-mechanical models, used to illustrate spontaneous symmetry breakdown, are discussed. A simple quantum-mechanical toy model (a spinor on the line, subject to a…

Mathematical Physics · Physics 2012-10-26 R. Munoz-Vega , A. Garcia-Quiroz , Ernesto Lopez-Chavez , Encarnacion Salinas-Hernandez

A model for spontaneous symmetry breaking using a specific form of the bumblebee model is analyzed in the context of a Schwarzschild background metric. The resulting back reaction of the symmetry-breaking field on the metric is computed to…

High Energy Physics - Phenomenology · Physics 2019-11-07 Don Colladay

We show that relativistic mean fields theories with scalar, $S$, and vector, $V$, quadratic radial potentials can generate a harmonic oscillator with exact pseudospin symmetry {\it and positive energy bound states} when $S=-V$. The…

Nuclear Theory · Physics 2009-11-10 R. Lisboa , M. Malheiro , A. S. de Castro , P. Alberto , M. Fiolhais

The conformal version of the antisymmetric second-order tensor field in four spacetime dimensions does not have gauge invariance extensively discussed in the literature for more than half a century. Our first observation is that, when…

High Energy Physics - Theory · Physics 2025-02-19 Ilya L. Shapiro

We present a unified, SI-consistent framework to constrain minimal SME coefficients $a_\mu$ and $b_\mu$ using magnetically confined two-dimensional electron systems under a uniform magnetic field. Working in the nonrelativistic…

Mesoscale and Nanoscale Physics · Physics 2025-10-29 Edilberto O. Silva

The separability and Runge-Lenz-type dynamical symmetry of the internal dynamics of certain two-electron Quantum Dots, found by Simonovi\'c et al. [1], is traced back to that of the perturbed Kepler problem. A large class of axially…

High Energy Physics - Theory · Physics 2015-06-16 P. -M. Zhang , L. -P. Zou , P. A. Horvathy , G. W. Gibbons