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In a wide class of three-dimensional Abelian gauge theories with a bare Chern-Simons term, the Lorentz invariance is spontaneously broken by dynamical generation of a non-vanishing magnetic field. A detailed computation of an energy density…

High Energy Physics - Theory · Physics 2009-10-22 Yutaka Hosotani

We re-examine three-dimensional gauge theory with a Chern-Simons term in which the Lorentz invariance is spontaneously broken by dynamical generation of a magnetic field. A non-vanishing magnetic field leads, through the Nambu-Goldstone…

High Energy Physics - Theory · Physics 2010-11-01 Yutaka Hosotani

In a class of renormalizable three-dimensional abelian gauge theory the Lorentz invariance is spontaneously broken by dynamical generation of a magnetic field $B$. The true ground state resembles that of the quantum Hall effect. An…

High Energy Physics - Theory · Physics 2007-05-23 Yutaka Hosotani

Spontaneous breaking of Lorentz invariance may take place in string theories, possibly endowing the photon with a mass. This leads to the breaking of the conformal symmetry of the electromagnetic action allowing for the generation within…

General Relativity and Quantum Cosmology · Physics 2007-05-23 O. Bertolami , D. F. Mota

In a class of three-dimensional abelian gauge theory the Lorentz invariance is spontaneously broken by dynamical generation of a magnetic field. An originally topologically massive photon becomes gapless, i.e. p_0=0 at {\vec p}=0. Indeed,…

High Energy Physics - Theory · Physics 2007-05-23 Yutaka Hosotani

Spontaneous breaking of Lorentz invariance compatible with observational limits may realistically take place in the context of string theories, possibly endowing the photon with a mass. In this process the conformal symmetry of the…

General Relativity and Quantum Cosmology · Physics 2016-08-31 O. Bertolami , D. F. Mota

A relativistic theory for neutrino superluminality is presented (in principle, the same mechanism applies also to other fermions). The theory involves the standard-model particles and one additional heavy sterile neutrino with an…

High Energy Physics - Phenomenology · Physics 2017-08-23 F. R. Klinkhamer

We describe how a stable effective theory in which particles of the same fermion number attract may spontaneously break Lorentz invariance by giving non-zero fermion number density to the vacuum (and therefore dynamically generating a…

High Energy Physics - Theory · Physics 2007-05-23 Alejandro Jenkins

The properties of the effective field theory relevant for the low energy structure generated by the Goldstone bosons of a spontaneously broken symmetry are reexamined. It is shown that anomaly free, Lorentz invariant theories are…

High Energy Physics - Phenomenology · Physics 2009-10-22 H. Leutwyler

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

The dualities that map hard-to-solve, interacting theories to free, non-interacting ones often trigger a deeper understanding of the systems to which they apply. However, simplifying assumptions such as Lorentz invariance, low…

Mesoscale and Nanoscale Physics · Physics 2020-09-23 Adolfo G. Grushin , Giandomenico Palumbo

We consider a class of field theories with a four-vector field $A_{\mu}(x)$ in addition to other fields supplied with a global charge symmetry - theories which have partial gauge symmetry in the sense of only imposing it on those terms in…

High Energy Physics - Theory · Physics 2009-08-11 J. L. Chkareuli , C. D. Froggatt , H. B. Nielsen

Considering the density wave of scalar and pseudoscalar condensates, we study the response of quark matter to a weak external magnetic field. In an external magnetic field, the energy spectrum of the lowest Landau level becomes asymmetric…

High Energy Physics - Phenomenology · Physics 2015-10-21 Ryo Yoshiike , Kazuya Nishiyama , Tositaka Tatsumi

We consider the gauge theory of Lorentz group coupled in a nonminimal way to fermions. We suggest the hypothesis that the given theory may exist in the phase with broken chiral symmetry and without confinement. The lattice discretization of…

High Energy Physics - Lattice · Physics 2013-10-22 M. A. Zubkov

We analyze the breaking of Lorentz invariance in a 3D model of fermion fields self-coupled through four-fermion interactions. The low-energy limit of the theory contains various sub-models which are similar to those used in the study of the…

High Energy Physics - Theory · Physics 2009-07-09 B. Charneski , M. Gomes , T. Mariz , J. R. Nascimento , A. J. da Silva

It is shown that a chiral SU(2) model can break Lorentz symmetry spontaneously at the Lagrangian level when gauge bosons become massive. This model seems to propose the principles and conceptual foundations leading to a unified picture of…

General Physics · Physics 2017-05-16 Kimihide Nishimura

We consider several gauge invariant higher dimensional operators that couple gravity, gauge fields and scalar or fermionic fields and thus break conformal invariance. In particular, we consider terms that break conformal invariance by the…

Astrophysics · Physics 2007-05-23 Tomislav Prokopec

We explore the interplay of matter with quantum gravity with a preferred frame to highlight that the matter sector cannot be protected from the symmetry-breaking effects in the gravitational sector. Focusing on Abelian gauge fields, we show…

High Energy Physics - Theory · Physics 2020-07-15 Astrid Eichhorn , Alessia Platania , Marc Schiffer

We introduce gravity theories featuring spontaneously growing gauge fields where the growth is due to the Higgs mechanism. The underlying physics is inspired by the spontaneous scalarization phenomena in scalar-tensor theories. The…

General Relativity and Quantum Cosmology · Physics 2019-10-08 Fethi M Ramazanoğlu

It is shown that the breaking of the conformal invariance in quantum electrodynamics due to the trace anomaly results in the generation of long wave electromagnetic fields during inflationary stage of the universe evolution. If the…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Dolgov Randall
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