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In any theory with spontaneous symmetry breaking, it is important to account for the massless Nambu-Goldstone and massive Higgs modes. In this short review, the fate of these modes is examined for the case of a bumblebee model, in which…

High Energy Physics - Theory · Physics 2017-08-23 Robert Bluhm

Spontaneous breaking of local Lorentz symmetry is of interest as a possible mechanism originating from physics at the Planck scale. If such breaking occurs, however, it raises the questions of what the fate of the Nambu-Goldstone modes is,…

General Relativity and Quantum Cosmology · Physics 2016-11-09 Robert Bluhm

Nambu-Goldstone modes in immiscible two-component Bose-Einstein condensates are studied theoretically. In a uniform system, a flat domain wall is stabilized and then the translational invariance normal to the wall is spontaneously broken in…

Quantum Gases · Physics 2013-12-16 Hiromitsu Takeuchi , Kenichi Kasamatsu

We investigate the noncommutative analogue of the spontaneously broken linear sigma model at the one-loop quantum level. In the commutative case, renormalization of a theory with a spontaneously broken continuous global symmetry depends on…

High Energy Physics - Theory · Physics 2009-10-31 Bruce A. Campbell , Kirk Kaminsky

In the framework of a hamiltonian nonperturbative approach we show that after demanding current conservation together with the Gauss constraints at some initial time in a nonabelian Nambu model, we recover the corresponding Yang-Mills…

High Energy Physics - Phenomenology · Physics 2016-07-13 L. F. Urrutia

We study the dynamics of spontaneous translation symmetry breaking in holographic models in presence of weak explicit sources. We show that, unlike conventional gapped quantum charge density wave systems, this dynamics is well characterized…

High Energy Physics - Theory · Physics 2021-04-06 Tomas Andrade , Matteo Baggioli , Alexander Krikun

It is shown that a true Nambu-Goldstone (NG) boson develops a coherent long-range field whenever the charge associated with it that is carried by the other particles is not conserved in a macroscopic scale. The source of a NG field is the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Luis Bento

In this work, we explore the dynamics of time varying photonic media with an optical Kerr nonlinearity and an associated phase transition. The interplay between a periodically modulated permittivity and the nonlinearity induces a continuous…

Optics · Physics 2024-08-23 Egor I. Kiselev , Yiming Pan

Spontaneous breaking of Lorentz symmetry has been suggested as a possible mechanism that might occur in the context of a fundamental Planck-scale theory, such as string theory or a quantum theory of gravity. However, if Lorentz symmetry is…

High Energy Physics - Theory · Physics 2008-11-26 R. Bluhm

A massive Goldstone (MG) mode, often referred to as a Higgs amplitude mode, is a collective excitation that arises in a system involving spontaneous breaking of a continuous symmetry, along with a gapless Nambu-Goldstone mode. It has been…

Superconductivity · Physics 2018-11-07 Shunji Tsuchiya , Daisuke Yamamoto , Ryosuke Yoshii , Muneto Nitta

We show that quasi-Nambu-Goldstone (NG) modes, which play prominent roles in high energy physics but have been elusive experimentally, can be realized with atomic Bose-Einstein condensates. The quasi-NG modes emerge when the symmetry of a…

Quantum Gases · Physics 2010-12-08 Shun Uchino , Michikazu Kobayashi , Muneto Nitta , Masahito Ueda

Spontaneous symmetry breaking is a general principle, that constitutes the underlying concept of a vast number of physical phenomena ranging from ferromagnetism and superconductivity in condensed matter physics to the Higgs mechanism in the…

High Energy Physics - Theory · Physics 2015-03-13 Tomas Brauner

We study the spontaneous Lorentz symmetry breaking in a field theoretical model in (2+1)-dimension, inspired by string theory. This model is a gauge theory of an anti-symmetric tensor field and a vector field (photon). The Nambu-Goldstone…

High Energy Physics - Theory · Physics 2009-11-07 Kiyoshi Higashijima , Naoto Yokoi

We investigated the multi-loop anomaly transfer to QCD sector from another one and its ability to solve strong CP problem. If the anomalous symmetry is spontaneously broken, its Nambu-Goldstone (NG) boson can couple to the QCD $G\tilde{G}$…

High Energy Physics - Theory · Physics 2018-05-31 Toshiki Nakawaki

Symmetry breaking at the mean-field level leads to an appearance of a symmetry restoring Nambu-Goldstone (NG) mode in the linear response theory. These modes represent a special kind of collective motion of the system. However, they can…

Nuclear Theory · Physics 2021-02-03 Markus Kortelainen

Ordered phases realized through broken continuous symmetries embrace long-range order-parameter fluctuations as manifest in the power-law decays of both the transverse and longitudinal correlations, which are similar to those at the…

Quantum Gases · Physics 2023-04-19 Takafumi Kita

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

The notion of spontaneous symmetry breaking has been well established to characterize classical and quantum phase transitions of matter, such as in condensation, crystallization or quantum magnetism. Generalizations of this paradigm to the…

We consider an extended Nambu--Jona-Lasinio model including both (q \bar q)- and (qq)-interactions with two light-quark flavors in the presence of a single (quark density) chemical potential. In the color superconducting phase of the quark…

High Energy Physics - Phenomenology · Physics 2009-11-10 D. Blaschke , D. Ebert , K. G. Klimenko , M. K. Volkov , V. L. Yudichev

Multi-gap superconductors exhibit interesting properties. In an $N$-gap superconductor, we have in general $U(1)^N$ phase invariance. This multiple-phase invariance is partially or totally spontaneously broken in a superconductor. The…

Superconductivity · Physics 2016-08-16 Takashi Yanagisawa