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The low-energy physics of systems with spontaneous symmetry breaking is governed by the associated Nambu-Goldstone (NG) bosons. While NG bosons in Lorentz-invariant systems are well understood, the precise characterization of their number…

High Energy Physics - Phenomenology · Physics 2011-12-12 Haruki Watanabe , Tomas Brauner

We re-examine three-dimensional gauge theory with a Chern-Simons term in which the Lorentz invariance is spontaneously broken by dynamical generation of a magnetic field. A non-vanishing magnetic field leads, through the Nambu-Goldstone…

High Energy Physics - Theory · Physics 2010-11-01 Yutaka Hosotani

Unbroken continuous translational invariance is often taken as a basic assumption in discussions of spontaneous symmetry breaking (SSB), which singles out SSB of translational invariance itself as an exceptional case. We present a framework…

Statistical Mechanics · Physics 2012-04-09 Haruki Watanabe , Tomáš Brauner

We theoretically investigate collective excitations in the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) states of Pauli-limited superconducting films. When the long-range Coulomb interaction is absent, excitation spectra consist of two gapless…

Superconductivity · Physics 2025-02-19 Ryoga Miwa , Ryoi Ohashi , Satoshi Fujimoto , Takeshi Mizushima

The emergence of gauge particles (e.g., photons and gravitons) as Goldstone bosons arising from spontaneous symmetry breaking is an interesting hypothesis which would provide a dynamical setting for the gauge principle. We investigate this…

High Energy Physics - Phenomenology · Physics 2015-07-13 C. A. Escobar , L. F. Urrutia

We solve explicitly the Goldstone modes in spontaneously symmetry breaking models with supersymmetry. We find that, when more than one fields or representations contribute to the symmetry breaking, there exist identities among the…

High Energy Physics - Phenomenology · Physics 2018-11-14 Xian-Zheng Bai , Deshan Yang , Da-Xin Zhang

In a class of three-dimensional abelian gauge theory the Lorentz invariance is spontaneously broken by dynamical generation of a magnetic field. An originally topologically massive photon becomes gapless, i.e. p_0=0 at {\vec p}=0. Indeed,…

High Energy Physics - Theory · Physics 2007-05-23 Yutaka Hosotani

We investigate the structure of damped two-dimensional perturbations in unstable plane-parallel shear flows with an inflection point. In inviscid flows within the stable wavenumber region $k$, no regular eigenmodes exist -- the frequency…

Fluid Dynamics · Physics 2026-01-13 Evgeny V. Polyachenko , Ilia G. Shukhman , Michael Karp

A detailed analysis of collective modes that couple to either vector or axial color currents in color-flavor locked phase of color superconducting dense quark matter at finite temperature is presented. Among the realm of collective modes,…

High Energy Physics - Phenomenology · Physics 2009-11-07 V. P. Gusynin , I. A. Shovkovy

We elucidate the relation between the restricted Weyl symmetry and spontaneous symmetry breakdown of conformal symmetry. Using a scalar-tensor gravity, we show that the restricted Weyl symmetry leads to spontaneous symmetry breakdown of a…

High Energy Physics - Theory · Physics 2021-10-04 Ichiro Oda

One kind of spontaneous (2+1)-dimensional Lorentz symmetry breaking is discussed. The symmetry breaking pattern is $SO(2,1)\rightarrow SO(1,1)$. Using the coset construction formalism, we derive the Goldstone covariant derivative and the…

High Energy Physics - Theory · Physics 2018-01-16 Jia-Hui Huang , Guang-Zhou Guo , Hao-Yu Xie , Qi-Shan Liu , Fang-Qing Deng

Assuming dynamical spontaneous breakdown of chiral symmetry for massless gauge theory without scalar fields, we present a method how to construct an effective action of the dynamical Nambu-Goldstone bosons and elemetary fermions by using…

High Energy Physics - Theory · Physics 2007-05-23 T. Matsuki , M. Shiotani , R. W. Haymaker

Spatial modulation has been studied for a long time in condensed matter, nuclear matter and quark matter, so far in non-relativistic field theories. In this paper, spatially modulated vacua at zero temperature and zero density are studied…

High Energy Physics - Theory · Physics 2018-09-21 Muneto Nitta , Shin Sasaki , Ryo Yokokura

We study the evolution of Q-balls under a spontaneously broken global $U(1)$ symmetry. Q-balls are stabilized by the conservation of $U(1)$ charge, but when the symmetry is spontaneously broken, the resulting Nambu-Goldstone (NG) boson can…

High Energy Physics - Phenomenology · Physics 2025-07-03 Masahiro Kawasaki , Kai Murai , Fuminobu Takahashi

Massive Nambu-Goldstone (mNG) bosons are quasiparticles whose gap is determined exactly by symmetry. They appear whenever a symmetry is broken spontaneously in the ground state of a quantum many-body system, and at the same time explicitly…

High Energy Physics - Theory · Physics 2019-08-05 Tomas Brauner , Martin F. Jakobsen

We revisit the issue of color neutrality in effective model descriptions of dense quark matter based on global color symmetry. While the equilibrium thermodynamics of such models is now well understood, we examine the collective modes,…

High Energy Physics - Phenomenology · Physics 2012-06-18 Hiroaki Abuki , Tomáš Brauner

In this work, we uncover a universal relaxation mechanism of pinned density waves, combining Gauge/Gravity duality and effective field theory techniques. Upon breaking translations spontaneously, new gapless collective modes emerge, the…

High Energy Physics - Theory · Physics 2019-11-27 Andrea Amoretti , Daniel Areán , Blaise Goutéraux , Daniele Musso

A self-contained method of obtaining effective theories resulting from the spontaneous breakdown of conformal invariance is developed. It allows to demonstrate that the Nambu-Goldstone fields for special conformal transformations always…

High Energy Physics - Theory · Physics 2019-04-23 I. Kharuk

There are few general physical principles that protect the low energy excitations of a quantum phase. Of these, Goldstone's theorem and Landau Fermi liquid theory are the most relevant to solids. We investigate the stability of the…

Strongly Correlated Electrons · Physics 2014-11-25 Haruki Watanabe , Ashvin Vishwanath

We study collective modes of superfluid Bose gases in optical lattices at commensurate fillings. We focus on the vicinity of the quantum phase transition to the Mott insulator, where there exists the Higgs amplitude mode in addition to the…

Quantum Gases · Physics 2016-08-12 Kazuma Nagao , Ippei Danshita
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