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The anomalous Nambu-Goldstone (NG) theorem which is found as a violation of counting law of the number of NG bosons of the normal NG theorem in nonrelativistic and Lorentz-symmetry-violated relativistic theories is studied in detail, with…

General Physics · Physics 2013-12-04 Tadafumi Ohsaku

It is shown that true Nambu-Goldstone (NG) bosons develop coherent fields whenever the associated charges of the matter particles are not conserved in a macroscopic scale. The sources of the NG fields are the time rates of quantum number…

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

An emergent gapless Goldstone mode originates from continuous spontaneous symmetry breaking, which has become a doctrine since the pioneering work by Goldstone [J. Goldstone, Nuovo Cimento \textbf{19}, 154 (1961)]. However, we argue that it…

Strongly Correlated Electrons · Physics 2023-11-02 Huan-Qiang Zhou , Qian-Qian Shi , Yan-Wei Dai

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

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

Fractonic phases are new phases of matter that host excitations with restricted mobility. We show that a certain class of gapless fractonic phases are realized as a result of spontaneous breaking of continuous higher-form symmetries whose…

Strongly Correlated Electrons · Physics 2024-02-21 Yuji Hirono , Minyoung You , Stephen Angus , Gil Young Cho

We study the homogeneous breaking of spatial translation symmetry concomitantly with the spontaneous breaking of other internal and spacetime symmetries, including dilations. We use the symmetry-breaking pattern as the only input to derive,…

High Energy Physics - Theory · Physics 2025-05-06 Ameya Chavda , Daniel Naegels , John Staunton

We argue that in an inflationary cosmology a consequence of the lack of time translational invariance is that spontaneous breaking of a continuous symmetry and Goldstone's theorem \emph{do not} imply the existence of \emph{massless}…

Cosmology and Nongalactic Astrophysics · Physics 2012-07-12 Daniel Boyanovsky

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

We analyze the phenomena of spontaneous symmetry breaking in Quantum Finance by using as a starting point the Black-Scholes (BS) and the Merton-Garman (MG) equations expressed in the Hamiltonian form. In this scenario the martingale…

General Finance · Quantitative Finance 2020-11-11 Ivan Arraut , Alan Au , Alan Ching-biu Tse

We study an emergent semiclassical time crystal composed of two interacting driven-dissipative bosonic modes. The system has a discrete $\mathbb Z_2$ spatial symmetry which, depending on the strength of the drive, can be broken in the…

Quantum Physics · Physics 2020-06-11 Cristóbal Lledó , Marzena H. Szymańska

We analyse in detail the behaviour of supersymmetric QCD with a number of flavours M smaller than the number of colours N, for quark masses smaller than the dynamically generated scale. In this regime, we find it useful to move from meson…

High Energy Physics - Theory · Physics 2009-10-31 Ferruccio Feruglio

Spontaneous symmetry breaking in non-relativistic quantum systems has previously been addressed in the framework of effective field theory. Low-lying excitations are constructed from Nambu-Goldstone modes using symmetry arguments only. We…

Nuclear Theory · Physics 2015-09-07 T. Papenbrock , H. A. Weidenmüller

We show that an ultra-cold atomic cloud bouncing on an oscillating mirror can reveal spontaneous breaking of a discrete time translation symmetry. In many-body simulations we illustrate the process of the symmetry breaking that can be…

Quantum Gases · Physics 2016-08-11 Krzysztof Sacha

We discuss the effective field theory for spacetime symmetry breaking from the local symmetry point of view. By gauging spacetime symmetries, the identification of Nambu-Goldstone (NG) fields and the construction of the effective action are…

High Energy Physics - Theory · Physics 2015-11-10 Yoshimasa Hidaka , Toshifumi Noumi , Gary Shiu

Spin-one color superconductor is a viable candidate phase of dense matter in the interiors of compact stars. Its low-energy excitations will influence the transport properties of such matter and thus have impact on late-stage evolution of…

High Energy Physics - Phenomenology · Physics 2014-11-20 Tomas Brauner , Jin-yi Pang , Qun Wang

According to a commonly held view of spontaneously broken symmetry in gauge theories, troublesome Nambu-Goldstone bosons are effectively eliminated by turning into longitudinal modes of a massive vector meson. This note shows that this is…

High Energy Physics - Theory · Physics 2015-06-18 G. S. Guralnik , C. R. Hagen

In modern physics, spontaneous symmetry breaking is one of the most important and ubiquitous ideas. It is well known that the breakdown of global and continuous symmetry gives rise to gapless excitations called Nambu-Goldstone (NG) bosons.…

Strongly Correlated Electrons · Physics 2024-01-17 Noriaki Sannomiya

The present paper gives a new method of attack on the Nambu-Goldstone dynamics in spontaneously broken theories. Since the target space of the Nambu-Goldstone fields is a group coset space, their effective quantum dynamics can be naturally…

High Energy Physics - Theory · Physics 2012-06-01 Massimo Blasone , Petr Jizba
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