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We include spontaneous symmetry breaking into the functional renormalization group (RG) equations for the irreducible vertices of Ginzburg-Landau theories by augmenting these equations by a flow equation for the order parameter, which is…

Statistical Mechanics · Physics 2011-01-07 Andreas Sinner , Nils Hasselmann , Peter Kopietz

We study the occurrence of spontaneous symmetry breaking (SSB) for O(N) models using functional renormalization group techniques. We show that even the local potential approximation (LPA) when treated exactly is sufficient to give…

High Energy Physics - Theory · Physics 2015-07-17 N. Defenu , P. Mati , I. G. Marian , I. Nandori , A. Trombettoni

The requirement for the absence of spontaneous symmetry breaking in the d=1 dimension has been used to optimize the regulator dependence of functional renormalization group equations in the framework of the sine-Gordon scalar field theory.…

High Energy Physics - Theory · Physics 2014-02-28 I. Nandori , I. G. Marian , V. Bacso

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

Spontaneous symmetry breaking (SSB) occurs when modes of asymmetric profile appear in a symmetric, double-well potential, due to the nonlinearity of the potential exceeding a critical value. In this study, we examine SSB in a periodic…

Optics · Physics 2024-10-21 Ruihan Peng , Qidong Fu , Yejia Chen , Weidong Luo , Changming Huang , Fangwei Ye

The nonrelativistic interpretation of quantum field theory achieved by quantization in an infinite momentum frame is spoiled by the inclusion of a mode of the field carrying p+=0. We therefore explore the viability of doing without such a…

High Energy Physics - Theory · Physics 2009-10-31 Joel S. Rozowsky , Charles B. Thorn

We propose a framework to understand the unprecedented performance and robustness of deep neural networks using field theory. Correlations between the weights within the same layer can be described by symmetries in that layer, and networks…

Computation · Statistics 2017-10-18 Ricky Fok , Aijun An , Xiaogang Wang

A semiclassical picture of spontaneous symmetry breaking in light front field theory is formulated. It is based on a finite-volume quantization of self-interacting scalar fields obeying antiperiodic boundary conditions. This choice avoids a…

High Energy Physics - Theory · Physics 2008-12-18 L. Martinovic

We introduce a class of 1D models mimicking a single-lane bridge with two junctions and two particle species driven in opposite directions. The model exhibits spontaneous symmetry breaking (SSB) for a range of injection/extraction rates. In…

Statistical Mechanics · Physics 2011-04-26 Vladislav Popkov , Martin R. Evans , David Mukamel

Spontaneous symmetry breaking is a well-understood mechanism for generating distinct phases of matter. Recently, the notion of symmetry has been broadened to include operations without inverses, leading to the concept of non-invertible…

Strongly Correlated Electrons · Physics 2026-05-28 Xie Chen , Shang Liu , Da-chuan Lu , Nathanan Tantivasadakarn

In this paper we introduce a one-dimensional model of coupled fractional nonlinear Schr\"odinger equations with a double-well potential applied to one component. This study examines ground state (GS) solitons, observing spontaneous symmetry…

Pattern Formation and Solitons · Physics 2024-10-29 Mateus C. P. dos Santos , Wesley B. Cardoso

We continue investigation of the renormalization group and decoupling of the quantized massive fields in curved space. In the present work we analyze a theory, where fields gain their masses due to the Spontaneous Symmetry Breaking (SSB),…

High Energy Physics - Phenomenology · Physics 2009-11-10 Eduard V. Gorbar , Ilya L. Shapiro

Spontaneous symmetry breaking occurs when the underlying laws of a physical system are symmetric, but the vacuum state chosen by the system is not. The (3+1)d $\phi^4$ theory is relatively simple compared to other more complex theories,…

High Energy Physics - Theory · Physics 2024-01-24 Chen-Te Ma , Yiwen Pan , Hui Zhang

Gravity is usually considered to be irrelevant as far as the physics of elementary particles is concerned and, in particular, in the context of the spontaneous symmetry breaking (SSB) mechanism. We describe a version of the SSB mechanism in…

High Energy Physics - Theory · Physics 2013-05-30 Kirill Krasnov

We provide a resolution of one of the long-standing puzzles in the theory of disordered systems. By reformulating the functional renormalization group (FRG) for the critical behavior of the random field Ising model in a superfield…

Statistical Mechanics · Physics 2015-05-27 Matthieu Tissier , Gilles Tarjus

We report results of the analysis of the spontaneous symmetry breaking (SSB) in the basic (actually, simplest) model which is capable to produce the SSB phenomenology in the one-dimensional setting. It is based on the Gross-Pitaevskii -…

Optics · Physics 2016-08-24 Elad Shamriz , Nir Dror , Boris A. Malomed

Radiative symmetry breaking (RSB) is a theoretically appealing framework for the generation of mass scales through quantum effects. It can be successfully implemented in models with extended scalar and gauge sectors. We provide a systematic…

High Energy Physics - Phenomenology · Physics 2018-08-23 Leonardo Chataignier , Tomislav Prokopec , Michael G. Schmidt , Bogumila Swiezewska

We propose a mechanism of R-symmetry breaking in four-dimensional DSB models based on the RG properties of the coupling constants. By constraining the UV sector, we generate new hierarchies amongst the couplings that allow a spontaneously…

High Energy Physics - Theory · Physics 2013-04-08 Antonio Amariti , David Stone

We discuss spontaneous symmetry breakdown (SSB) of both global and local scale symmetries in scalar-tensor gravity with two scalar fields, one of which couples nonminimally to scalar curvature while the other is a normal scalar field. In…

High Energy Physics - Theory · Physics 2020-03-19 Ichiro Oda

The realization of spontaneous symmetry breaking (SSB) requires a system that exhibits a near perfect symmetry. SSB manifests itself through a pitchfork bifurcation, but that bifurcation is fragile, and perturbed by any asymmetry or…

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