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Recently, a condition is derived for a nontrivial solution of the Schwinger-Dyson equation to be accompanied by a Goldstone bound state in a special quantum electrodynamics model. This result is extended and a new form of the Goldstone…

High Energy Physics - Theory · Physics 2015-06-25 G. Cheng

In three-dimensional quantum electrodynamics (QED$_{3}$) with massive gauge boson, we investigate the Dyson-Schwinger equation for the fermion self-energy in the Landau gauge and find that chiral symmetry breaking (CSB) occurs when the…

High Energy Physics - Theory · Physics 2009-11-07 Guo-Zhu Liu , Geng Cheng

We show that in supersymmetric pure Yang Mills theories with arbitrary simple gauge group, the spontaneous breaking of chiral fermionic and bosonic charge by the associated gaugino and gauge boson condensates implies the spontaneous…

High Energy Physics - Theory · Physics 2009-10-30 M. Leibundgut , P. Minkowski

We discuss the chiral symmetry breaking in general intersecting Dq/Dp brane models consisting of N_c Dq-branes and a single Dp-brane with an s-dimensional intersection. There exists a QCD-like theory localized at the intersection and the…

High Energy Physics - Theory · Physics 2008-11-26 Norio Horigome , Madoka Nishimura , Yoshiaki Tanii

An analysis of spontaneously broken chiral symmetry in light-cone field theory is presented. The non-locality inherent to light-cone field theory requires revision of the standard procedure in the derivation of Ward-Takahashi identities. We…

High Energy Physics - Theory · Physics 2009-11-10 F. Lenz , K. Ohta , M. Thies , K. Yazaki

In a 331 model in which the lepton masses arise from a scalar sextet it is possible to break spontaneously a global symmetry implying in a pseudoscalar majoron-like Goldstone boson. This majoron does not mix with any other scalar fields and…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. C. Montero , C. A. de S. Pires , V. Pleitez

We study the quantum phase transition occurring in an infinite homogeneous system of spin 1/2 fermions in a non-relativistic context. As an example we consider neutrons interacting through a simple spin-spin Heisenberg force. The two…

Nuclear Theory · Physics 2009-11-10 A. Beraudo , A. De Pace , M. Martini , A. Molinari

In the framework of a 3-3-1 model with right-handed neutrinos and three scalar triplets we consider different spontaneous symmetry breaking patterns seeking for a non-linear realization of accidental symmetries of the model, which will…

High Energy Physics - Phenomenology · Physics 2018-03-02 B. L. Sánchez-Vega , E. R. Schmitz , J. C. Montero

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 reconsider the question of mass generation for fermions coupled to a set of gauge bosons when the latter get their masses through the Goldstone bosons originating in a simple (i.e. not extended) technicolor sector. The fermion global…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. T. Tomboulis

We argue that the spontaneous breakdown of symmetry in the chirally symmetric Nambu--Jona-Lasinio model which was supposed to illustrate the origin of the low mass of pions in hadron physics does not occur due to strong fluctuations in the…

High Energy Physics - Phenomenology · Physics 2009-10-31 H. Kleinert , B. Van den Bossche

We discuss conformal invariance of the massless Thirring model. We show that conformal symmetry of the massless Thirring model is dynamically broken due to the constant of motion caused by the equations of motion. This confirms the…

High Energy Physics - Theory · Physics 2007-05-23 M. Faber , A. N. Ivanov

By viewing the Sine-Gordon and massive Thirring models as perturbed conformal field theories one sees that they are different (the difference being observable, for instance, in finite-volume energy levels). The UV limit of the former (SGM)…

High Energy Physics - Theory · Physics 2009-10-22 Timothy R. Klassen , Ezer Melzer

We consider nonrelativistic superfluids where the global U(1)-symmetry is spontaneously broken. At sufficiently long wavelengths, the relevant degree of freedom is the massless Goldstone mode and we construct an effective low energy theory…

Condensed Matter · Physics 2007-05-23 Jens O. Andersen

A variety of condensed matter systems describe gapless modes that can be interpreted as Nambu-Goldstone bosons of spontaneously broken Poincar\'e symmetry. In this paper we derive new soft theorems constraining the tree-level scattering of…

High Energy Physics - Theory · Physics 2024-05-13 Clifford Cheung , Maria Derda , Andreas Helset , Julio Parra-Martinez

We report on a non-perturbative study of two dimensional $\cN=(2,2)$ super QCD. Our lattice formulation retains a single exact supersymmetry at non-zero lattice spacing, and contains $N_f$ fermions in the fundamental representation of a…

High Energy Physics - Lattice · Physics 2015-09-11 Simon Catterall , Aarti Veernala

The low-energy physics of systems with spontaneous symmetry breaking is governed by the associated Nambu-Goldstone (NG) bosons. While NG bosons in Lorentz-invariant systems are well understood, the precise characterization of their number…

High Energy Physics - Phenomenology · Physics 2011-12-12 Haruki Watanabe , Tomas Brauner

Explicit and spontaneous breaking of spacetime symmetry under diffeomorphisms, local translations, and local Lorentz transformations due to the presence of fixed background fields is examined in Einstein-Cartan theory. In particular, the…

General Relativity and Quantum Cosmology · Physics 2024-01-22 Robert Bluhm , Yu Zhi

We discuss the phenomenology of models of dynamical electroweak symmetry breaking which attempt to generate the observed fermion mass spectrum. After briefly describing the variety of and constraints on proposed models, we concentrate on…

High Energy Physics - Phenomenology · Physics 2016-09-01 R. Sekhar Chivukula , Rogerio Rosenfeld , Elizabeth H. Simmons , John Terning

The standard Hartree--Fock approximation of the $O(N)-$invariant $\phi^4$ model suffers from serious renormalization problems. In addition, when the symmetry is spontaneously broken, another shortcoming appears in relation to the Goldstone…

High Energy Physics - Phenomenology · Physics 2013-05-29 Claudio Destri , Andrea Sartirana