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The concepts of symmetry, symmetry breaking and gauge symmetries are discussed, their operational meaning being displayed by the observables {\em and} the (physical) states. For infinitely extended systems the states fall into physically…

History and Philosophy of Physics · Physics 2015-07-03 Franco Strocchi

Spontaneous symmetry breaking is a fundamental concept in many areas of physics, ranging from cosmology and particle physics to condensed matter. A prime example is the breaking of spatial translation symmetry, which underlies the formation…

In this work we explore the possibility of spontaneous breaking of global symmetries at all nonzero temperatures for conformal field theories (CFTs) in $D = 4$ space-time dimensions. We show that such a symmetry-breaking indeed occurs in…

High Energy Physics - Theory · Physics 2021-05-12 Soumyadeep Chaudhuri , Changha Choi , Eliezer Rabinovici

We describe the breaking of supersymmetry in M-theory by coordinate dependent (Scherk-Schwarz) compactification of the eleventh dimension. Supersymmetry is spontaneously broken in the gravitational and moduli sector and communicated to the…

High Energy Physics - Theory · Physics 2009-10-30 I. Antoniadis , M. Quiros

The hallmark of a 2 dimensional topologically ordered phase is the existence of deconfined `anyon' excitations that have exotic braiding and exchange statistics, different from those of ordinary bosons or fermions. As opposed to…

Strongly Correlated Electrons · Physics 2017-08-02 Lukasz Fidkowski , Ashvin Vishwanath

We present an analytical model for the theoretical analysis of spin dynamics and spontaneous symmetry breaking in a spinor Bose-Einstein condensate (BEC). This allows for an excellent intuitive understanding of the processes and provides…

Quantum Physics · Physics 2014-01-14 M. Scherer , B. Lücke , O. Topic , G. Gebreyesus , F. Deuretzbacher , W. Ertmer , L. Santos , C. Klempt , J. J. Arlt

We discuss spontaneously broken quantum field theories with a continuous symmetry group via the constraint effective potential. Employing lattice simulations with constrained values of the order parameter, we demonstrate explicitly that the…

High Energy Physics - Lattice · Physics 2021-12-15 Gergely Endrődi , Tamás György Kovács , Gergely Markó

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

Recent 3D organ reconstitution studies show that a group of stem cells can establish a body axis and acquire different fates in a spatially organized manner. How such symmetry breaking happens in the absence of external spatial cues, and…

Tissues and Organs · Quantitative Biology 2018-10-29 Keisuke Ishihara , Elly M. Tanaka

Time crystals are physical systems whose time translation symmetry is spontaneously broken. Although the spontaneous breaking of continuous time-translation symmetry in static systems is proved impossible for the equilibrium state, the…

Quantum Gases · Physics 2020-08-19 Lingzhen Guo , Pengfei Liang

The scalar field is quantized in the discretized light-front framework following the {\em standard} Dirac procedure and its infinite volume limit taken. The background field and the nonzero mode variables do not commute for finite volume;…

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

Unified models incorporating the right handed neutrino in a symmetric way generically possess parity symmetry. If this is broken spontaneously it results in the formation of domain walls in the early Universe, whose persistence is unwanted.…

High Energy Physics - Theory · Physics 2014-02-03 Urjit A. Yajnik , Sasmita Mishra , Debasish Borah

Due to the fact that only matter fields have phase, frequently is believed that the gauge principle can induce gauge fields only in quantum systems. But this is not necessary. This paper, of pedagogical scope, presents a classical system…

High Energy Physics - Theory · Physics 2007-05-23 Luis Alberto Sanchez , Jorge Mahecha

Spontaneous symmetry breaking is a foundational concept in physics. In condensed matter, it characterizes conventional continuous phase transitions but is absent at topological phase transitions such as the Berezinskii-Kosterlitz-Thouless…

Statistical Mechanics · Physics 2025-06-09 Michael F. Faulkner

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

Spontaneous symmetry breaking and elementary excitation are two of the pillars of condensed matter physics that are closely related to each other. The symmetry and its spontaneous breaking not only control the dynamics and spectrum of…

Quantum Gases · Physics 2021-01-20 Xiaoqin Yang , Zi Cai

Until the late 1980s, phases of matter were understood in terms of Landau's symmetry breaking theory. Following the discovery of the quantum Hall effect the introduction of a second class of phases, those with topological order, was…

Strongly Correlated Electrons · Physics 2016-03-09 N. Samkharadze , K. A. Schreiber , G. C. Gardner , M. J. Manfra , E. Fradkin , G. A. Csáthy

A state in a quantum system with a given global symmetry, $G$, can be sensitive to the presence of boundaries, which may either preserve or break this symmetry. In this work, we investigate how conformal invariant boundary conditions…

High Energy Physics - Theory · Physics 2025-09-15 Yuya Kusuki , Sara Murciano , Hirosi Ooguri , Sridip Pal

We investigate an attractive Bose-Einstein condensate in two coupled one dimensional channels. In this system a stable double channel soliton can be formed. It is symmetric for small interaction parameters and asymmetric for large ones. We…

Quantum Gases · Physics 2013-07-09 Nguyen Viet Hung , Pawel Zin , Eryk Infeld

The entanglement asymmetry measures the extent to which a symmetry is broken within a subsystem of an extended quantum system. Here, we analyse this quantity in Haar random states for arbitrary compact, semi-simple Lie groups, building on…

High Energy Physics - Theory · Physics 2025-07-01 Angelo Russotto , Filiberto Ares , Pasquale Calabrese