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A nonperturbative approach for spontaneous symmetry breaking is proposed. It is based on some properties of interacting field operators. As the consequences an additional terms like to m^2 A^2 appears in the initial Lagrangian.

High Energy Physics - Theory · Physics 2007-05-23 Vladimir Dzhunushaliev

We investigate the spontaneous breaking of subsystem symmetries directly in the context of continuum field theories by calculating the correlation function of charged operators. Our methods confirm the lack of spontaneous symmetry breaking…

High Energy Physics - Theory · Physics 2022-03-10 Jacques Distler , Andreas Karch , Amir Raz

We study the quantum phase transition occurring in an infinite homogeneous system of spin 1/2 fermions in a non-relativistic context. As an example we consider neutrons interacting through a simple spin-spin Heisenberg force. The two…

Nuclear Theory · Physics 2009-11-10 A. Beraudo , A. De Pace , M. Martini , A. Molinari

We introduce a dual-core system with double symmetry, one between the cores, and one along each core, imposed by the spatial modulation of local nonlinearity in the form of two tightly localized spots, which may be approximated by a pair of…

Pattern Formation and Solitons · Physics 2018-05-15 Krzysztof B. Zegadlo , Nguyen Viet Hung , Aleksandr Ramaniuk , Marek Trippenbach , Boris A. Malomed

The cluster slave-spin method is introduced to systematically investigate the solutions of the Hubbard model including the symmetry-broken phases. In this method, the electron operator is factorized into a fermioninc spinon describing the…

Strongly Correlated Electrons · Physics 2017-09-12 Wei-Cheng Lee , Ting-Kuo Lee

We discuss the well-known phenomenon of spontaneous symmetry breaking for a linear sigma model for scalar and pseudoscalar mesons based on the meson composite structure and the normalization of the quantum states. To test our formulation…

High Energy Physics - Phenomenology · Physics 2016-07-06 Amir H. Fariborz , Renata Jora

We study the role of particle-hole symmetry on the universality class of various quantum phase transitions corresponding to the onset of superfluidity at zero temperature of bosons in a quenched random medium. The functional integral…

Disordered Systems and Neural Networks · Physics 2009-11-13 Peter B. Weichman , Ranjan Mukhopadhyay

A spontaneous symmetry-breaking order is conventionally described by a tensor-product wave-function of some few-body clusters. We discuss a type of symmetry-breaking orders, dubbed entanglement-enabled symmetry-breaking orders, which cannot…

Strongly Correlated Electrons · Physics 2024-05-28 Cheng-Ju Lin , Liujun Zou

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

In this Letter we study the periodic Anderson model, employing both the slave-boson and the X-boson approaches in the mean field approximation. We investigate the breakdown of the slave-boson at intermediate temperatures when the total…

Strongly Correlated Electrons · Physics 2020-10-02 Lizardo H. C. M. Nunes , M. S. Figueira , M. E. Foglio

We assume that the energy spectrum of a chaotic system undergoing symmetry breaking transitions can be represented as a superposition of independent level sequences, one increasing on the expense of the others. The relation between the…

Statistical Mechanics · Physics 2007-05-23 A. Y. Abul-Magd , M. H. Simbel

Mixed states can exhibit two distinct kinds of symmetries, either on the level of the individual states (strong symmetry), or only on the level of the ensemble (weak symmetry). Strong symmetries can be spontaneously broken down to weak…

Statistical Mechanics · Physics 2025-09-12 Niklas Ziereis , Sanjay Moudgalya , Michael Knap

We show that baryon number symmetry is spontaneously broken in a class of three-dimensional, ${\cal N}=1$ supersymmetric theories with a discrete mass spectrum. These models serve as lower-dimensional, less-supersymmetric analogs of the…

High Energy Physics - Theory · Physics 2025-10-06 Antón F. Faedo , Carlos Hoyos , Javier G. Subils

The aim of this work is to investigate the occurrence of two different spontaneous symmetry breakings {at} two levels of the description of fermion-scalar field model, by means of a set of gap equations and {with} a background field…

High Energy Physics - Theory · Physics 2022-06-29 A. A. Nogueira , F. L. Braghin

An alternative approach to density functional theory based on self-consistent field theory for ring polymers is applied to neutral atoms hydrogen to neon in their ground states. The spontaneous emergence of atomic shell structure and…

Quantum Physics · Physics 2026-02-05 Phil A. LeMaitre , Russell B. Thompson

Number partitioning is an NP-complete problem of combinatorial optimization. A statistical mechanics analysis reveals the existence of a phase transition that separates the easy from the hard to solve instances and that reflects the…

Condensed Matter · Physics 2009-10-31 Stephan Mertens

The description of spontaneous symmetry breaking that underlies the connection between classically ordered objects in the thermodynamic limit and their individual quantum mechanical building blocks is one of the cornerstones of modern…

Other Condensed Matter · Physics 2010-04-29 Jasper van Wezel

Recently, a couple of investigations related to symmetry breaking phenomena, 'spontaneous stochasticity' and 'ergodicity breaking' have led to significant impacts in a variety of fields related to the stochastic processes such as economics…

Physics and Society · Physics 2024-07-10 Tatsuru Kikuchi

The combination of linear and nonlinear potentials, both shaped as a single well, enables competition between the confinement and expulsion induced by the former and latter potentials, respectively. We demonstrate that this setting leads to…

Pattern Formation and Solitons · Physics 2018-10-18 Dmitry A. Zezyulin , Mikhail E. Lebedev , Georgy L. Alfimov , Boris A. Malomed

Spontaneous symmetry breaking generally circumvents one-dimensional systems with local interactions in thermal equilibrium. Here, we analyze a category of one-dimensional Hermitian models via local non-Hermitian constructions. Notably,…

Quantum Physics · Physics 2025-06-30 Jia-Bao Wang , Zi-Hao Dong , Yi Zhang