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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

Spontaneous breakdown of the continuous symmetry is studied in the framework of discretized light-front quantization. We consider linear sigma model in 3+1 dimensions and show that the careful treatment of zero modes together with the…

High Energy Physics - Theory · Physics 2016-09-06 Yoonbai Kim , Sho Tsujimaru , Koichi Yamawaki

We study spontaneous supersymmetry breaking in spatially modulated stable or meta-stable vacua in supersymmetric field theories. Such spatial modulation can be realized in a higher derivative chiral model for which vacuum energies are…

High Energy Physics - Theory · Physics 2017-12-06 Muneto Nitta , Shin Sasaki , Ryo Yokokura

We consider the structure of effective lagrangians describing the low-energy dynamics of supersymmetric theories in which a global symmetry $G$ is spontaneously broken to a subgroup $H$ while supersymmetry is unbroken. In accordance with…

High Energy Physics - Phenomenology · Physics 2016-09-01 Markus A. Luty , John March-Russell , Hitoshi Murayama

We establish a classical analog of the Nambu-Goldstone theorem for spontaneous breaking of spacetime symmetries. It provides a counting rule for independent Nambu-Goldstone fields and states which of them are gapped. We demonstrate that…

High Energy Physics - Theory · Physics 2019-01-07 Ivan Kharuk , Andrey Shkerin

Nonrelativistic systems exhibiting collective magnetic behavior are analyzed within the framework of effective Lagrangians. The method, which formulates the dynamics of the system in terms of Goldstone bosons, allows to investigate the…

Condensed Matter · Physics 2009-11-07 Christoph P. Hofmann

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

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

We introduce a family of quantum field theories for fields carrying monopole and dipole charges. In contrast to previous realizations, fields have quadratic two-derivative kinetic terms. The dipole symmetry algebra is realized in a…

High Energy Physics - Theory · Physics 2023-12-05 Evangelos Afxonidis , Alessio Caddeo , Carlos Hoyos , Daniele Musso

We investigate the nonlinear realization of spontaneously broken N=2 superconformal symmetry in 4 dimensions. We particularly study Nambu-Goldstone degrees of freedom for the partial breaking of N=2 superconformal symmetry down to N=1…

High Energy Physics - Theory · Physics 2008-11-26 Yoshinori Gotoh , Tsuneo Uematsu

Theories with spontaneous local Lorentz and diffeomorphism violation contain massless Nambu-Goldstone modes, which arise as field excitations in the minimum of the symmetry-breaking potential. If the shape of the potential also allows…

High Energy Physics - Theory · Physics 2008-11-26 Robert Bluhm , Shu-Hong Fung , Alan Kostelecky

When continuous symmetry is spontaneously broken, there appear Nambu-Goldstone modes (NGMs) with linear and quadratic dispersion relations, which are called type-I and type-II, respectively. We propose a framework to count these modes…

Quantum Gases · Physics 2015-01-08 Daisuke A. Takahashi , Muneto Nitta

We study the vacuum dynamics of pseudo-Nambu-Goldstone bosons (pNGBs) for $SO(N+1) \rightarrow SO(N)$ spontaneous and explicit symmetry breaking. We determine the magnitude of explicit symmetry breaking consistent with an EFT description of…

High Energy Physics - Phenomenology · Physics 2023-09-28 Fotis Koutroulis , Matthew McCullough , Marco Merchand , Stefan Pokorski , Kazuki Sakurai

We propose a simple criterion to identify when Nambu-Goldstone bosons (NGBs) for different symmetries are redundant. It solves an old mystery why crystals have phonons for spontaneously broken translations but no gapless excitations for…

Other Condensed Matter · Physics 2014-08-12 Haruki Watanabe , Hitoshi Murayama

We construct a purely fermionic system with spontaneously broken supersymmetry that shares the common feature with a fracton phase of matter. Our model is gapless due to the Nambu-Goldstone mechanism. It shows a ground-state degeneracy with…

High Energy Physics - Theory · Physics 2022-08-24 Hosho Katsura , Yu Nakayama

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 classify effective actions for Nambu-Goldstone (NG) bosons assuming absence of anomalies. Special attention is paid to Lagrangians invariant only up to a surface term, shown to be in a one-to-one correspondence with Chern-Simons (CS)…

High Energy Physics - Theory · Physics 2014-12-02 Tomas Brauner , Sergej Moroz

A pseudo-Nambu Goldstone Boson (pNGB) arising from the breaking of a global symmetry ($G\rightarrow H$) can be one of the most promising candidates for the quintessence model, to explain the late-time acceleration of our universe. Motivated…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-24 Mayukh R. Gangopadhyay , Nilanjana Kumar , Ankan Mukherjee , Mohit K. Sharma

When the spontaneous symmetry breaking occurs for systems without Lorentz covariance, there arises possible mismatch, $N_{\rm NG} < N_{\rm BG}$, between numbers of Nambu-Goldstone (NG) bosons ($N_{\rm NG}$) and the numbers of broken…

High Energy Physics - Phenomenology · Physics 2011-06-13 Yusuke Hama , Tetsuo Hatsuda , Shun Uchino

Pairing rotations are the low-energy excitations of finite superfluid systems, connecting systems that differ in their number of Cooper pairs. This paper presents a model-independent derivation of pairing rotations within an effective…

Nuclear Theory · Physics 2022-04-26 T. Papenbrock