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Symmetry breaking--the phenomenon in which the symmetry of a system is not inherited by its stable states--underlies pattern formation, superconductivity, and numerous other effects. Recent theoretical work has established the possibility…

Adaptation and Self-Organizing Systems · Physics 2021-09-24 Ferenc Molnar , Takashi Nishikawa , Adilson E. Motter

We study a system of two hardcore bosonic Hubbard models weakly coupled with each other by tunneling. Assuming that the single uncoupled model exhibits off-diagonal long-range order, we prove that the coupled system exhibits spontaneous…

Statistical Mechanics · Physics 2020-01-08 Hal Tasaki

We explore the features of the $U_A(1)$ and chiral symmetry breaking of the Nambu--Jona-Lasinio model without the Kobayashi-Maskawa-'t Hooft determinant term in the presence of a parallel electromagnetic field. We show that the…

Nuclear Theory · Physics 2018-03-19 Lingxiao Wang , Gaoqing Cao , Xu-Guang Huang , Pengfei Zhuang

The simple examples of spontaneous breaking of various symmetries for the scalar theory with fundamental mass have been considered. Higgs generalizations on "fundamental mass" were introduced into the theory on a basis of the…

High Energy Physics - Theory · Physics 2007-05-23 Umida Khodjaeva

Spontaneous symmetry breaking (SSB) is crucial to the occurrence of phase transitions. Once a phase transition occurs, a quantum system presents degenerate eigenstates that lack the symmetry of the Hamiltonian. After crossing the critical…

We propose a new scenario to implement spontaneous symmetry breaking in the space-time of an arbitrary dimension (D>2) by introducing the non-minimal coupling between the scalar field and the gravity. In this scenario, the usage of the…

High Energy Physics - Theory · Physics 2014-11-18 Je-An Gu , W-Y. P. Hwang

We discuss spontaneous symmetry breaking of dual (space and time) scale invariance in the context of turbulence.

High Energy Physics - Theory · Physics 2017-08-29 Itamar Hason

This paper discusses the phenomenon of spontaneous symmetry breaking in the Schr\"odinger representation formulation of quantum field theory. The analysis is presented for three-dimensional space-time abelian gauge theories with either…

High Energy Physics - Theory · Physics 2009-10-28 G. Dunne

We consider a holographic description of the chiral symmetry breaking in an external magnetic field in $ (2+1) $-dimensional gauge theories from the softwall model using an improved dilaton field profile given by $\Phi(z) = - kz^2 +…

High Energy Physics - Phenomenology · Physics 2020-02-06 Diego M. Rodrigues , Danning Li , Eduardo Folco Capossoli , Henrique Boschi-Filho

Spontaneous symmetry breaking in statistical mechanics primarily occurs during phase transitions at the thermodynamic limit where the Hamiltonian preserves inversion symmetry, yet the low-temperature free energy exhibits reduced symmetry.…

Computation and Language · Computer Science 2026-03-02 Shalom Rosner , Ronit D. Gross , Ella Koresh , Ido Kanter

We introduce a waveguiding system composed of three linearly-coupled fractional waveguides, with a triangular (prismatic) transverse structure. It may be realized as a tri-core nonlinear optical fiber with fractional group-velocity…

Pattern Formation and Solitons · Physics 2024-10-17 Mateus C. P. dos Santos , Wesley B. Cardoso , Dmitry V. Strunin , Boris A. Malomed

Spontaneous symmetry breaking plays a pivotal role in physics ranging from the emergence of elementary particles to the phase transitions of matter. The spontaneous breaking of continuous time translation symmetry leads to a novel state of…

The Higgs mechanism of mass generation is the main ingredient in the contemporary Standard Model and its various generalizations. However, there is no comprehensive theory of spontaneous symmetry breaking. We summarize the relevant…

Mathematical Physics · Physics 2008-04-04 G. Sardanashvily

Spontaneous symmetry breaking is central to our understanding of physics and explains many natural phenomena, from cosmic scales to subatomic particles. Its use for applications requires devices with a high level of symmetry, but engineered…

A model describing the $N=2$ supergravity interaction with vector and linear multiplets is constructed. It admits the introduction of the spontaneous breaking of supersymmetry with arbitrary scales, one of which may be equal to zero, which…

High Energy Physics - Theory · Physics 2007-05-23 Yu. M. Zinoviev

Spontaneous symmetry breaking in nonlinear systems provides a unified method to understand vastly different phenomena, ranging from Higgs mechanism [1] and superconductivity [2] to ecological stability [3] and genome generation [4].…

Optics · Physics 2022-08-11 Chaohan Cui , Liang Zhang , Linran Fan

Landau's spontaneous symmetry breaking theory is a fundamental theory that describes the collective behaviors in many-body systems. It was well known that for usual spontaneous symmetry breaking in Hermitian systems, the order-disorder…

Strongly Correlated Electrons · Physics 2020-06-22 Meng-Lei Yang , Heng Wang , Cui-Xian Guo , Xiao-Ran Wang , Gaoyong Sun , Su-Peng Kou

We propose a new mechanism of spontaneous supersymmetry breaking. The existence of extra dimensions with nontrivial topology plays an important role. We investigate new features resulted from the mechanism in two simple supersymmetric Z_2…

High Energy Physics - Theory · Physics 2009-10-31 M. Sakamoto , M. Tachibana , K. Takenaga

We consider the dynamical model of a binary bosonic gas trapped in a symmetric dual-core cigar-shaped potential. The setting is modeled by a system of linearly-coupled one-dimensional Gross-Pitaevskii equations with the cubic self-repulsive…

Pattern Formation and Solitons · Physics 2019-05-15 Bin Liu , Hua-Feng Zhang , Rong-Xuan Zhong , Xi-Liang Zhang , Xi-Zhou Qin , Chunqing Huang , Yong-Yao Li , Boris A. Malomed

Charge symmetry breaking (CSB) in the strong interaction occurs because of the difference between the masses of the up and down quarks. The use of effective field theories allows us to follow this influence of confined quarks in hadronic…

Nuclear Experiment · Physics 2008-11-26 Gerald A Miller , Allena K. Opper , Edward J. Stephenson
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