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We construct a class of matrix models, where supersymmetry (SUSY) is spontaneously broken at the matrix size $N$ infinite. The models are obtained by dimensional reduction of matrix-valued SUSY quantum mechanics. The potential of the models…

High Energy Physics - Theory · Physics 2015-05-14 Tsunehide Kuroki , Fumihiko Sugino

Synthetic nonconservative systems with parity-time (PT) symmetric gain-loss structures can exhibit unusual spontaneous symmetry breaking that accompanies spectral singularity. Recent studies on PT symmetry in optics and weakly interacting…

Statistical Mechanics · Physics 2017-06-12 Yuto Ashida , Shunsuke Furukawa , Masahito Ueda

The theory of symmetry breaking in presence of gauge fields is presented, following the historical track. Particular emphasis is placed upon the underlying concepts.

High Energy Physics - Theory · Physics 2007-05-23 Francois Englert

A two species particle model on an open chain with dynamics which is non-conserving in the bulk is introduced. The dynamical rules which define the model obey a symmetry between the two species. The model exhibits a rich behavior which…

Statistical Mechanics · Physics 2009-11-10 E. Levine , R. D. Willmann

We propose a novel framework to analyze symmetry breaking in dynamical systems through the lens of entropy and information transfer. Information transfer quantifies the directional exchange of entropy between observables, allowing us to…

Dynamical Systems · Mathematics 2025-11-12 Subhrajit Sinha , Parvathi Kooloth

Ever since a new symmetry was found for the imperfect fluid with vorticity the question of the effect of perturbations on the symmetry itself has been raised. This new symmetry arose when realizing that local four-velocity gauge-like…

General Relativity and Quantum Cosmology · Physics 2026-03-24 Alcides Garat

A spontaneous symmetry breaking mechanism is used in quantum gravity to obtain a convergent positive definite density-matrix as the most general quantum state of Euclidean wormholes

General Relativity and Quantum Cosmology · Physics 2011-04-20 Pedro F. Gonzalez-Diaz

The dynamics of two active nonlinear resonators coupled to a linear resonator is studied theoretically. Possible stationary states and its dynamical stability are considered in detail. The spontaneous symmetry breaking is found and it is…

Optics · Physics 2022-04-06 D. Dolinina , A. Yulin

The appearances of complex eigenvalues in the spectra of PT-symmetric quantum-mechanical systems are usually associated with a spontaneous breaking of PT. In this letter we discuss a family of models for which this phenomenon is also linked…

High Energy Physics - Theory · Physics 2009-11-07 Patrick Dorey , Clare Dunning , Roberto Tateo

The concept of symmetry breaking and the emergence of corresponding local order parameters constitute the pillars of modern day many body physics. The theory of quantum entanglement is currently leading to a paradigm shift in understanding…

Quantum Physics · Physics 2016-11-18 V. Zauner , D. Draxler , L. Vanderstraeten , J. Haegeman , F. Verstraete

Within random matrix theory, the statistics of the eigensolutions depend fundamentally on the presence (or absence) of time reversal symmetry. Accepting the Bohigas-Giannoni-Schmit conjecture, this statement extends to quantum systems with…

Chaotic Dynamics · Physics 2009-11-10 S. Tomsovic , D. Ullmo , T. Nagano

The nonequilibrium effective potential is computed for the Frank model of spontaneous mirror symmetry breaking (SMSB) in chemistry in which external noise is introduced to account for random environmental effects. When these fluctuations…

Populations and Evolution · Quantitative Biology 2009-06-29 David Hochberg

The concept of spontaneous symmetry breaking (SSB) generally lacks a simple and intuitive introduction in the literature. This gap is filled by defining SSB in a universal context beyond its usual applications in physics and by discussing…

Mathematical Physics · Physics 2020-10-26 Andreas Aste

This paper studies one-loop effective potential and spontaneous-symmetry-breaking pattern for SU(5) gauge theory in de Sitter space-time. Curvature effects modify the flat-space effective potential by means of a very complicated special…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Franco Buccella , Giampiero Esposito , Gennaro Miele

The spontaneous symmetry breaking (and Higgs) mechanism in the theory quantized on the light-front ({\it l.f.}), in the {\it discretized formulation}, is discussed. The infinite volume limit is taken to obtain the {\it continuum version}.…

High Energy Physics - Theory · Physics 2007-05-23 Prem P. Srivastava

We show that using nonextensive entropy can lead to spontaneous symmetry breaking when a parameter changes its value from that applicable for a symmetric domain, as in field theory. We give the physical reasons and also show that even for…

Statistical Mechanics · Physics 2008-10-27 Fariel Shafee

We demonstrate that the occurrence of symmetry breaking phase transitions together with the emergence of a local order parameter in classical statistical physics is a consequence of the geometrical structure of probability space. To this…

Statistical Mechanics · Physics 2016-11-18 Valentin Zauner-Stauber , Frank Verstraete

In this work we investigate the spontaneous symmetry breaking (SSB) induced by a classical background spacetime's curvature, via the 2 particle irreducible (2PI) non-perturbative effective action formalism. We use the standard…

General Relativity and Quantum Cosmology · Physics 2025-07-08 Vishal Nath , Kinsuk Roy , Sourav Bhattacharya

Spontaneous symmetry breaking originats in quantum mechanical measurement of the relevant observable defining the physical situation, order parameter is the average of this observable. A modification is made on the random-phase postulate…

Quantum Physics · Physics 2008-02-03 Yu Shi

The role of the environment initial conditions in the breaking of the time reversal symmetry of effective theories and in generating the soft irreversibility is studied by the help of Closed Time Path formalism. The initial conditions break…

Statistical Mechanics · Physics 2016-04-26 Janos Polonyi