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A brief summary of some of the main consequences of spontaneous Lorentz violation in gravity is presented, including evasion of a no-go theorem, concomitant spontaneous diffeomorphism breaking, the appearance of massless Nambu-Goldstone…

High Energy Physics - Theory · Physics 2013-02-12 Robert Bluhm

This work aims to study the radiative corrections in a vector model with spontaneous Lorentz symmetry violation, known in the literature as the bumblebee model. We consider such a model with self-interaction quadratic smooth potential…

High Energy Physics - Theory · Physics 2023-09-20 Fernando M. Belchior , Roberto V. Maluf

Frohlich, Morchio and Strocchi long ago proved that Lorentz invariance is spontaneously broken in QED because of infrared effects. We develop a simple model where consequences of this breakdown can be explicitly and easily calculated. For…

High Energy Physics - Theory · Physics 2013-10-18 A. P. Balachandran , S. Vaidya

Gravitational theories with Lorentz violation must account for a number of possible features in order to be consistent theoretically and phenomenologically. A brief summary of these features is given here. They include evasion of a no-go…

High Energy Physics - Phenomenology · Physics 2013-07-23 R. Bluhm

Low-energy remnant fundamental symmetry violations may be present in nature at levels attainable in upcoming experiments. These effects may arise through spontaneous symmetry breaking in a more complete Lorentz covariant theory underlying…

High Energy Physics - Phenomenology · Physics 2007-05-23 Don Colladay

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

This article aims to study the Lorentz/U(1) gauge symmetry-breaking electrodynamics in the framework of the Standard-Model Extension and analyze the Hamiltonian structure for the theory with a specific dimension $d\leq 4$ of Lorentz…

High Energy Physics - Theory · Physics 2024-04-11 Xiu-Peng Yang , Bao-Fei Li , Tao Zhu

Perhaps the most important aspect of symmetry in physics is the idea that a state does not need to have the same symmetries as the theory that describes it. This phenomenon is known as spontaneous symmetry breaking. In these lecture notes,…

High Energy Physics - Theory · Physics 2019-12-16 Aron J. Beekman , Louk Rademaker , Jasper van Wezel

In massless QCD coupled to QED in an external magnetic field, a photon with the linear polarization in the direction of the external magnetic field mixes with the charge neutral pion through the triangle anomaly, leading to one gapless mode…

High Energy Physics - Theory · Physics 2019-06-11 Noriyuki Sogabe , Naoki Yamamoto

We propose a new dynamics of the electroweak symmetry breaking in a classically scale invariant version of the standard model. The scale invariance is broken by the condensations of additional fermions under a strong coupling dynamics. The…

High Energy Physics - Phenomenology · Physics 2016-03-23 Naoyuki Haba , Hiroyuki Ishida , Noriaki Kitazawa , Yuya Yamaguchi

Nambu-Goldstone (NG) modes for 0-form and higher-form symmetries can become unstable in the presence of background fields. Examples include the instability of a photon with a time-dependent axion background or with a chirality imbalance,…

High Energy Physics - Theory · Physics 2022-11-08 Naoki Yamamoto , Ryo Yokokura

We reconsider the restoration of the residual gauge symmetry (RGS) due to topological effects as a possible criterion for color confinement. Although the RGS is ``spontaneously broken'' in the perturbative vacuum, it must be restored in the…

High Energy Physics - Theory · Physics 2025-07-16 Naoki Fukushima , Kei-Ichi Kondo

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

An SU(2) lattice gauge theory with two doublets of complex scalar fields is considered. All continuous symmetries are identified and, using the nonperturbative methods of lattice field theory, the phase diagram is mapped out by direct…

High Energy Physics - Lattice · Physics 2010-09-02 Randy Lewis , R. M. Woloshyn

The phase diagram of massless quantum electrodynamics in three space-time dimensions as a function of fermion flavor number $N$ exhibits two well-known phases: at large $N > N_c^{conf}$ the system is in a conformal gapless state, while for…

High Energy Physics - Theory · Physics 2016-11-16 Lukas Janssen

Spontaneous symmetry breaking plays a key role in our understanding of nature. In a relativistic field theory, a broken continuous symmetry leads to the emergence of two types of fundamental excitations: massless Nambu-Goldstone modes and a…

We consider the dynamics of 2+1 dimensional $SU(N)$ gauge theory with Chern-Simons level $k$ and $N_f$ fundamental fermions. By requiring consistency with previously suggested dualities for $N_f\leq 2k$ as well as the dynamics at $k=0$ we…

High Energy Physics - Theory · Physics 2018-03-14 Zohar Komargodski , Nathan Seiberg

Spontaneous symmetry breaking is studied within a simple version of the light-front sigma model with fermions. Its vacuum structure is derived by an implementation of global symmetries in terms of unitary operators in a finite volume with…

High Energy Physics - Theory · Physics 2011-07-19 L. Martinovic , J. P. Vary

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 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