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Gauge symmetries and Higgs mechanisms are key features of theories describing high-energy particle physics and collective phenomena in statistical and condensed-matter physics. In this review we address the collective behavior of systems of…

统计力学 · 物理学 2025-06-10 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

We demonstrate that the three-dimensional Skyrmion, which has remained elusive so far, spontaneously appears as the ground state of $SU$(2) symmetric Bose-Einstein condensates coupled with a non-Abelian gauge field. The gauge field is a…

量子气体 · 物理学 2012-07-13 Takuto Kawakami , Takeshi Mizushima , Muneto Nitta , Kazushige Machida

Using the AdS/CFT correspondence we study vacua of N=4 SYM for which part of the gauge symmetry is broken by expectation values of scalar fields. A specific subclass of such vacua can be analyzed with gauged supergravity and the…

高能物理 - 理论 · 物理学 2007-05-23 A. Brandhuber , K. Sfetsos

Close to the superfluid plane-wave (PW) - supersolid stripe (ST) phase transition point of a zero temperature quasi-one-dimensional spin-orbit-coupled Bose gas, we find that an increase in temperature induces a phase transition to the…

量子气体 · 物理学 2024-03-28 Rajat , Ritu , Arko Roy , Sandeep Gautam

A detailed analysis of Chern-Simons (CS) theories in which a compact abelian direct product gauge group U(1)^k is spontaneously broken down to a direct product H of (finite) cyclic groups is presented. The spectrum features global H…

高能物理 - 理论 · 物理学 2009-10-30 Mark de Wild Propitius

An effective spin model for the finite temperature non-abelian lattice gauge theory is derived. The outcome is the surprising result that only nearest neighbor coupling survives, thus confirming the well known numerical results that the…

高能物理 - 格点 · 物理学 2007-05-23 Z. K. Zhu , D. H Feng

On the basis of the non-equilibrium Green function formalism, we derived a spinor Boltzmann equation for the Bose cold atom gases with high spin, which is achieved by a quantum Wigner transformation on the equation satisfied by the lesser…

量子物理 · 物理学 2025-10-21 Zheng-Chuan Wang

We study a 3d lattice gauge theory with gauge group $\mathrm{U}(1)^{N-1}\rtimes \mathrm{S}_N$, which is obtained by gauging the $\mathrm{S}_N$ global symmetry of a pure $\mathrm{U}(1)^{N-1}$ gauge theory, and we call it the semi-Abelian…

高能物理 - 理论 · 物理学 2021-04-06 Mendel Nguyen , Yuya Tanizaki , Mithat Ünsal

In SU($N$) gauge-Higgs theories, with a single Higgs field in the fundamental representation, there exists in addition to the local gauge symmetry a global SU(2) symmetry, at $N=2$, and a global U(1) symmetry, for $N \ne 2$. We construct a…

高能物理 - 理论 · 物理学 2019-04-02 Jeff Greensite , Kazue Matsuyama

We consider the dynamics of 2+1 dimensional $SU(N)$ gauge theory with Chern-Simons level $k$ and $N_f$ fundamental fermions. By requiring consistency with previously suggested dualities for $N_f\leq 2k$ as well as the dynamics at $k=0$ we…

高能物理 - 理论 · 物理学 2018-03-14 Zohar Komargodski , Nathan Seiberg

We consider a parity-preserving QED_3 model with spontaneous breaking of the gauge symmetry as a framework for the evaluation of the electron-electron interaction potential underlying high-T_c superconductivity. The fact that the resulting…

超导电性 · 物理学 2007-05-23 H. R. Christiansen , O. M. DelCima , M. M. Ferreira , J. A. Helayel-Neto

In an Abelian gauge symmetry, spontaneously broken at a first order phase transition, we investigate the evolution of two and three bubbles of the broken symmetry phase. The full field equations are evolved and we concentrate in particular…

高能物理 - 唯象学 · 物理学 2009-10-28 E. J. Copeland , P. M. Saffin

Three scalar effective field theories have special properties in terms of non-linear symmetries, soft limits and on-shell constructability that arise from their Goldstone nature: the non-linear $\sigma$-model, multi-DBI theory and the…

高能物理 - 理论 · 物理学 2022-10-26 Dijs de Neeling , Diederik Roest , Sam Veldmeijer

We study a 3-dimensional SU(2) gauge theory with 4 Higgs fields which transform under the adjoint representation of the gauge group, that has been recently proposed by Sachdev et al. to explain the physics of cuprate superconductors near…

Non-Abelian vortices arise when a non-Abelian global symmetry is exact in the ground state but spontaneously broken in the vicinity of their cores. In this case, there appear (non-Abelian) Nambu-Goldstone (NG) modes confined and propagating…

高能物理 - 理论 · 物理学 2014-09-23 Muneto Nitta , Shun Uchino , Walter Vinci

We study patterns of chiral symmetry breaking at zero temperature and its subsequent restoration at nonzero temperature within the $SU(3)_{r} \times SU(3)_{\ell}$ linear sigma model. Gap equations for the masses of the scalar and…

核理论 · 物理学 2011-07-19 J. T. Lenaghan , D. H. Rischke , J. Schaffner-Bielich

We investigate N=2 super-Yang-Mills theory on a three sphere in the presence of an isospin chemical potential at strong coupling using the AdS/CFT correspondence. This system exhibits an instability for sufficiently large values of the…

高能物理 - 理论 · 物理学 2015-06-11 Suphakorn Chunlen , Kasper Peeters , Pichet Vanichchapongjaroen , Marija Zamaklar

The bound states of two particles are studied in frames of non-relativistic quantum field model with current $\times$ current type interaction by analyzing the Bethe-Salpeter amplitudes. The Bethe-Salpeter equations are obtained in closed…

高能物理 - 理论 · 物理学 2007-05-23 A. V. Sinitskaya , E. V. Pavlova

We consider pure SU(N) gauge theories defined on an orbifold lattice, analogous to the S^1/Z_2 gauge theory orbifolds of the continuum, which according to the perturbative analysis do not have a Higgs phase. Non-perturbatively the…

高能物理 - 格点 · 物理学 2015-06-18 Nikos Irges , Francesco Knechtli

By the spin-fermion formula, the Hubbard model on the honeycomb lattice is represented by a U(2) gauge theory in the mean field method, non-Abelian vortex solutions are constructed based on this theory. The quantization condition shows that…

超导电性 · 物理学 2015-06-04 Qiu-Hong Huo , Yunguo Jiang , Ru-Zhi Wang , Hui Yan