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Dynamical symmetry breaking in three-dimensional QED with N fermion flavours is considered at finite temperature, in the large $N$ approximation. Using an approximate treatment of the Schwinger-Dyson equation for the fermion self-energy, we…

High Energy Physics - Phenomenology · Physics 2016-09-01 I. J. R. Aitchison , N. Dorey , M. Klein-Kreisler , N. E. Mavromatos

The formulation for zero mode of a Bose-Einstein condensate beyond the Bogoliubov approximation at zero temperature [Y.Nakamura et al., Phys. Rev. A 89, 013613 (2014)] is extended to finite temperature. Both thermal and quantum fluctuations…

Quantum Gases · Physics 2017-03-08 Y. Nakamura , T. Kawaguchi , Y. Torii , Y. Yamanaka

The linear O($N$) sigma model undergoes a symmetry restoring phase transition at finite temperature. We show that the nonlinear O($N$) sigma model also undergoes a symmetry restoring phase transition; the critical temperatures are the same…

High Energy Physics - Phenomenology · Physics 2009-10-28 Alexander Bochkarev , Joseph Kapusta

Motivated by attempts to quantum simulate lattice models with continuous Abelian symmetries using discrete approximations, we study an extended-O(2) model in two dimensions that differs from the ordinary O(2) model by the addition of an…

High Energy Physics - Lattice · Physics 2024-04-01 Leon Hostetler , Ryo Sakai , Jin Zhang , Alexei Bazavov , Yannick Meurice

The restoration of spontaneous symmetry breaking for a scalar field theory for an accelerated observer is discussed by the one-loop effective potential calculation and by considering the effective potential for composite operators. Above a…

High Energy Physics - Theory · Physics 2015-06-05 P. Castorina , M. Finocchiaro

Advances in creating stable dipolar Bose systems, and ingenious box traps have generated tremendous interest. Theory study of dipolar bosons at finite temperature (T) has been limited. Motivated by these, we study 2D dipolar bosons at…

Quantum Gases · Physics 2021-04-21 Pengtao Shen , Khandker F. Quader

We prove a Goldstone Theorem in thermal relativistic quantum field theory, which relates spontaneous symmetry breaking to the rate of space-like decay of the two-point function. The critical rate of fall-off coincides with that of the…

Mathematical Physics · Physics 2015-05-19 Christian D. Jaekel , Walter F. Wreszinski

The interplay between spontaneously broken gauge symmetries and Bose-Einstein condensation has long been controversially discussed in science, since the equation of motions are invariant under phase transformations. Within the present model…

Quantum Gases · Physics 2022-05-10 Alexej Schelle

While chiral symmetry breaking in the QCD vacuum is attributed to nonzero chiral condensate, an alternative symmetry breaking pattern with no chiral condensate is also possible, as pointed out by Stern. This hypothetical phase was excluded…

High Energy Physics - Phenomenology · Physics 2015-10-06 Takuya Kanazawa

We prove a strong form of spontaneous breaking of rotational symmetry for a simple model of two-dimensional crystals with random defects in thermal equilibrium at low temperature. The defects consist of isolated missing atoms.

Probability · Mathematics 2013-08-20 Markus Heydenreich , Franz Merkl , Silke W. W. Rolles

Roy-equation analyses on lattice data of $\pi\pi$ scattering phase shifts at $m_\pi=391$MeV reveals that the lowest $f_0$ meson becomes a bound state under this condition. In addition, there is a pair of complex poles below threshold…

High Energy Physics - Phenomenology · Physics 2024-05-22 Yuan-Lin Lyu , Qu-Zhi Li , Zhiguang Xiao , Han-Qing Zheng

We study the $O(N)$ vector model for scalars with quartic interaction at large $N$ on $S^1\times S^2$ without the singlet constraint. The non-trivial fixed point of the model is described by a thermal mass satisfying the gap equation at…

High Energy Physics - Theory · Physics 2025-11-13 Justin R. David , Srijan Kumar

We study the linear sigma model with O(N) symmetry at nonzero temperature in the framework of the Cornwall-Jackiw-Tomboulis formalism. Extending the set of two-particle irreducible diagrams by adding sunset diagrams to the usual…

High Energy Physics - Phenomenology · Physics 2011-07-19 Dirk Roeder , Joerg Ruppert , Dirk H. Rischke

We demonstrate that symmetry need not be restored in the Pati-Salam model, so that $SU(2)_L\otimes SU(2)_R\otimes SU(4)_c$ remains broken to the Standard Model group at temperatures above the Pati-Salam symmetry breaking scale. Including…

High Energy Physics - Phenomenology · Physics 2026-01-22 N. Okada , A. Stern

It was recently conjectured that, in SU(3) gauge theories with fundamental quarks, valence spontaneous chiral symmetry breaking is equivalent to condensation of local dynamical chirality and appearance of chiral polarization scale…

High Energy Physics - Lattice · Physics 2015-06-19 Andrei Alexandru , Ivan Horváth

We show how the phenomenon of spontaneous symmetry breakdown is affected by the presence of a sea of fermions in the system. When its density exceeds a critical value, the broken symmetry can be restored. We calculate the critical value and…

General Physics · Physics 2015-07-13 Hagen Kleinert , She-Sheng Xue

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

A famous example of gauge/gravity duality is the result that the entropy density of strongly coupled ${\cal N}=4$ SYM in four dimensions for large N is exactly 3/4 of the Stefan-Boltzmann limit. In this work, I revisit the massless O(N)…

High Energy Physics - Theory · Physics 2020-01-08 Paul Romatschke

The Thirring model in 2+1 spacetime dimensions, in which $N$ flavors of relativistic fermion interact via a contact interaction between conserved fermion currents, is studied using lattice field theory simulations employing domain wall…

High Energy Physics - Lattice · Physics 2019-02-20 Simon Hands

By studying the effective potential of the MSSM at finite temperature, we find that CP can be spontaneously broken in the intermediate region between the symmetric and broken phases separated by the bubble wall created at the phase…

High Energy Physics - Phenomenology · Physics 2007-05-23 K. Funakubo , A. Kakuto , S. Otsuki , F. Toyoda