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The Nambu-Goldstone (NG) modes in a nonrelativistic system can be classified into two types from their characteristic features: being of either an odd (type I) or an even (type II) power energy-momentum dispersion. Conventionally, the…

Quantum Gases · Physics 2020-12-24 Jian-Song Pan , W. Vincent Liu , Xiong-Jun Liu

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

If quarks and gluons are either gapped or confined in neutron stars (NSs), the most relevant light modes are Nambu-Goldstone (NG) modes. We study NG modes within a schematic quark model whose parameters at high density are constrained by…

High Energy Physics - Phenomenology · Physics 2017-03-22 Toru Kojo

Second-order phase transitions are governed by spontaneous symmetry breaking, which yield collective excitations with a gapless spectrum called Nambu-Goldstone (NG) modes. While NG modes in conservative systems are propagating excitations,…

We discuss the counting of Nambu-Goldstone (NG) modes associated with the spontaneous breaking of higher-form global symmetries. Effective field theories of NG modes are developed based on symmetry breaking patterns, using a generalized…

High Energy Physics - Theory · Physics 2021-02-24 Yoshimasa Hidaka , Yuji Hirono , Ryo Yokokura

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 discuss the dispersion relations of Nambu-Goldstone (NG) modes associated with spontaneous breaking of internal symmetries at finite temperature and/or density. We show that the dispersion relations of type-A (I) and type-B (II) NG modes…

High Energy Physics - Theory · Physics 2015-04-01 Tomoya Hayata , Yoshimasa Hidaka

We study the Nambu-Goldstone (NG) modes associated with spontaneous breaking of the continuous time-translation symmetry. To discuss a quantum time-crystal with the spontaneously-broken continuous time-translation symmetry, we introduce the…

High Energy Physics - Theory · Physics 2018-12-19 Tomoya Hayata , Yoshimasa Hidaka

We develop the effective field theory of diffusive Nambu-Goldstone (NG) modes associated with spontaneous internal symmetry breaking taking place in nonequilibrium open systems. The effective Lagrangian describing semi-classical dynamics of…

High Energy Physics - Theory · Physics 2021-03-31 Masaru Hongo , Suro Kim , Toshifumi Noumi , Atsuhisa Ota

We theoretically investigate the tunneling transport in a repulsively interacting ultracold Bose-Fermi mixture. A two-terminal model is applied to such a mixture and the supersymmetric-like tunneling current through the junction can be…

Quantum Gases · Physics 2024-09-04 Tingyu Zhang , Yixin Guo , Hiroyuki Tajima , Haozhao Liang

We discuss spontaneous breaking of internal symmetry and its Nambu-Goldstone (NG) modes in dissipative systems. We find that there exist two types of NG modes in dissipative systems corresponding to type-A and type-B NG modes in Hamiltonian…

Statistical Mechanics · Physics 2018-03-20 Yuki Minami , Yoshimasa Hidaka

We present a lattice model for superconducting fermions whose nearest-neighbour two-body interactions are a Bardeen-Cooper-Schrieffer-type pairing on the hypercubic lattice $\mathbb{Z}^d$ with the dimension $d\ge 3$. Although these…

Mathematical Physics · Physics 2022-04-19 Tohru Koma

We study the bosonic excitations in the favorite cubic three flavor crystalline LOFF phases of QCD. We calculate in the Ginzburg-Landau approximation the masses of the eight pseudo Nambu-Goldstone Bosons (NGB) present in the low energy…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. Anglani , R. Gatto , N. D. Ippolito , G. Nardulli , M. Ruggieri

Using an exact solution as a concrete example, Nambu-Goldstone modes on the BPS domain wall junction are worked out for N=1 supersymmetric theories in four dimensions. Their wave functions extend along the wall to infinity (not localized)…

High Energy Physics - Theory · Physics 2009-10-31 Kenji Ito , Masashi Naganuma , Hodaka Oda , Norisuke Sakai

The collective elementary excitations of two dimensional magnetoexcitons in a Bose Einstein condensate with zero wavevector are investigated in the framework of the Bogoliubov theory of quasi averages. The Hamiltonian of the electrons and…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 S. A. Moskalenko , M. A. Liberman , D. W. Snoke , E. V. Dumanov , S. S. Rusu , F. Cerbu

We investigate the superfluidity and the associated Nambu-Goldstone modes in a three-flavor atomic Fermi gas with SU(3) global symmetry. The s-wave pairing occurs in flavor anti-triplet channel due to the Pauli principle, and the superfluid…

Other Condensed Matter · Physics 2009-09-09 Lianyi He , Meng Jin , Pengfei Zhuang

We conduct a mode analysis of a general $U(1)$-charged first-order relativistic hydrodynamics within the framework of effective field theory for dissipative fluids in flat Minkowski spacetime. We derive the most general quadratic action for…

High Energy Physics - Theory · Physics 2025-08-05 Atsuhisa Ota

We show that the Nambu-Goldstone(NG) boson restricted on the light-front(LF) can only exist if we regularize the theory by introducing the explicit breaking NG-boson mass $m_{\pi}$. The NG-boson zero mode, when integrated over the LF, must…

High Energy Physics - Phenomenology · Physics 2016-09-01 Yoonbai Kim , Sho Tsujimaru , Koichi Yamawaki

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

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
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