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The catalysis of chiral symmetry breaking by an applied constant magnetic field and in the presence of boundaries along third axis is investigated in the four-dimensional Nambu-Jona-Lasinio model. It is shown that in case of periodic…

High Energy Physics - Phenomenology · Physics 2009-10-31 E. J. Ferrer , V. P. Gusynin , V. de la Incera

Dynamical symmetry breaking is investigated for a four-fermion Nambu-Jona-Lasinio model in external electromagnetic and gravitational fields. An effective potential is calculated in the leading order of the large-N expansion using the…

High Energy Physics - Theory · Physics 2009-10-31 E. Elizalde , Yu. I. Shil'nov

Spontaneous symmetry breaking occurs when the symmetry that a physical system possesses, is not preserved for the ground state of the system. Although the procedure of symmetry breaking is quite clear from the mathematical point of view,…

Physics Education · Physics 2007-05-23 A. Acus

The occurrence of spontaneous chiral symmetry breaking (SChSB) is equivalent to sufficient abundance of Dirac near-zeromodes. However, dynamical mechanism leading to breakdown of chiral symmetry should be naturally reflected in chiral…

High Energy Physics - Lattice · Physics 2013-05-09 Andrei Alexandru , Ivan Horvath

Spontaneous symmetry breaking (SSB) occurs when a many-body system governed by a symmetric Hamiltonian, and prepared in a symmetry-broken state by the application of a field coupling to its order parameter $O$, retains a finite $O$ value…

Strongly Correlated Electrons · Physics 2024-12-23 Filippo Caleca , Saverio Bocini , Fabio Mezzacapo , Tommaso Roscilde

We propose a fundamental setup for the realization of spontaneous symmetry breaking (SSB) and spontaneous antisymmetry breaking (SASB) in the framework of the nonlinear Schroedinger equation with the self-attractive and repulsive cubic…

Pattern Formation and Solitons · Physics 2025-07-15 Hidetsugu Sakaguchi , Boris A. Malomed , T. J. Taiwo

The physical world is marked by the phenomenon of spontaneous broken symmetry (SBS) i.e. where the state of a system is assymmetric with respect to the symmetry principles that govern its dynamics. For material systems this is not…

High Energy Physics - Theory · Physics 2007-05-23 Robert Brout

The paper combines two topics belonging to the general theme of the spontaneous symmetry breaking (SSB) in systems including two basic competing ingredients: the self-focusing cubic nonlinearity and a double-well-potential (DWP) structure.…

Pattern Formation and Solitons · Physics 2015-11-30 Boris A. Malomed

Catalysis of dynamical symmetry breaking by a constant magnetic field in (3+1) dimensions is considered. We use the three flavour Nambu -- Jona-Lasinio type model with 't Hooft and eight-quark interaction terms. It is shown that the…

High Energy Physics - Phenomenology · Physics 2007-06-22 A. A. Osipov , B. Hiller , A. H. Blin , J. da Providencia

We investigate the effects of the external gravitational and constant magnetic fields to the dynamical symmetrybreaking. As simple models of the dynamical symmetry breaking we consider the Nambu-Jona-Lasinio (NJL) model and the…

High Energy Physics - Theory · Physics 2009-09-17 T. Inagaki , S. D. Odintsov , Yu. I. Shil'nov

Spontaneous symmetry breaking is responsible for the rich phenomena in equilibrium physics. Driving a system out-of-equilibrium can significantly enrich the possibility of spontaneous symmetry breaking, which occurs not only in space, but…

Statistical Mechanics · Physics 2023-07-06 Mingxi Yue , Zi Cai

We study spontaneous symmetry breaking in one dimensional quantum mechanical problems in terms of two-point boundary problems which lead to singular potentials containing Dirac delta functions and its derivatives. We search for…

Mathematical Physics · Physics 2019-02-18 A. Restuccia , A. Sotomayor , V. Strauss

A novel holographic model of chiral symmetry breaking has been proposed by Kuperstein and Sonnenschein by embedding non-supersymmetric probe D7 and anti-D7 branes in the Klebanov-Witten background. We study the dynamics of the probe…

High Energy Physics - Theory · Physics 2015-06-04 M. Sohaib Alam , Vadim S. Kaplunovsky , Arnab Kundu

We introduce a one-dimensional two-component system with the self-focusing cubic nonlinearity concentrated at a symmetric set of two spots. Effects of the spontaneous symmetry breaking (SSB) of localized modes were previously studied in the…

Pattern Formation and Solitons · Physics 2015-06-04 Arturas Acus , Boris A. Malomed , Yakov Shnir

Treating the gravitational field as a dynamical field, we study the spontaneous symmetry breaking induced by a scalar field under its self-interaction and non-minimal interaction with gravity in four dimensional space-time. In particular,…

High Energy Physics - Theory · Physics 2007-05-23 Je-An Gu , W-Y. P. Hwang

We present a clear and mathematically simple procedure explaining spontaneous symmetry breaking in quantum mechanical systems. The procedure is applicable to a wide range of models and can be easily used to explain the existence of a…

Classical Physics · Physics 2010-04-29 Jasper van Wezel , Jeroen van den Brink

Spontaneous symmetry breaking is a cornerstone of modern physics, defining a wealth of phenomena in condensed-matter and high-energy physics, and beyond. It requires an infinite number of degrees of freedom, and even then, for continuous…

Disordered Systems and Neural Networks · Physics 2026-04-10 Oleg Evnin

The chiral symmetry breaking in a Nambu-Jona-Lasinio effective model of quarks in the presence of a magnetic field is investigated. We show that new interaction tensor channels open up via Fierz identities due to the explicit breaking of…

Nuclear Theory · Physics 2014-11-11 Efrain J. Ferrer , Vivian de la Incera

We investigate the effect of a constant external non-Abelian field on chiral symmetry breaking in a (2+1)-dimensional Nambu-Jona-Lasinio model and in 3D QCD by solving the gap equation and the Bethe-Salpeter equation, and also by RG…

High Energy Physics - Theory · Physics 2009-10-30 V. P. Gusynin , D. K. Hong , I. A. Shovkovy

An SU(2) lattice gauge theory with two doublets of complex scalar fields is considered. All continuous symmetries are identified and, using the nonperturbative methods of lattice field theory, the phase diagram is mapped out by direct…

High Energy Physics - Lattice · Physics 2010-09-02 Randy Lewis , R. M. Woloshyn