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A proof of Goldstone's theorem is given for the case in which global chiral symmetry is dynamically broken. The proof highlights a needed consistency between the exact Schwinger--Dyson equation for the fermion propagator and the exact…

High Energy Physics - Theory · Physics 2011-07-19 H. J. Munczek

We consider here chiral symmetry breaking through nontrivial vacuum structure with quark antiquark condensates. We then relate the condensate function to the wave function of pion as a Goldstone mode. This simultaneously yields the pion…

High Energy Physics - Phenomenology · Physics 2009-10-22 H. Mishra , S. P. Misra

We consider an O(N) symmetric scalar field model in the mean field (Hartree) approximation and show that the symmetry can be broken in de Sitter space. We find that the phase transition can be of first order, and that its strength depends…

General Relativity and Quantum Cosmology · Physics 2013-04-02 Tomislav Prokopec

The theory of scalar gravity proposed by Nordstr\"{o}m, and refined by Einstein and Fokker, provides a striking analogy to general relativity. In its modern form, scalar gravity appears as the low-energy effective field theory of the…

High Energy Physics - Theory · Physics 2017-09-13 Prateek Agrawal , Raman Sundrum

Dynamical symmetry breaking is investigated for a four-fermion Nambu-Jona-Lasinio model in external electromagnetic and gravitational fields. An effective potential is calculated in the leading order of the large-N expansion using the…

High Energy Physics - Theory · Physics 2009-10-31 E. Elizalde , Yu. I. Shil'nov

We investigate macroscopic behaviors of fluctuating domain walls in nonequilibrium open systems with the help of the effective field theory based on symmetry. Since the domain wall in open systems breaks the translational symmetry, there…

High Energy Physics - Theory · Physics 2022-05-18 Keisuke Fujii , Masaru Hongo

We study intersecting D-brane models, that describe at low energies a two dimensional chiral fermion theory localized at the intersection. The fermions are coupled to gauge fields in the bulk. The resulting low energy theory is equivalent…

High Energy Physics - Theory · Physics 2010-10-27 Luca Grisa

A field theory approach for the nonequilibrium relaxation dynamics in open systems at late times is developed. In the absence of conservation laws, all excitations are subject to dissipation. Nevertheless, ordered stationary states satisfy…

Statistical Mechanics · Physics 2024-04-04 Johannes Lang , Michael Buchhold , Sebastian Diehl

A non-linear sigma model effective lagrangian is analyzed for theories in which supersymmetry is softly broken at scales below the electroweak symmetry breaking scale. Besides the gauge and matter supermultiplets, the low energy theory…

High Energy Physics - Phenomenology · Physics 2009-10-28 Thomas E. Clark , Tonnis A. ter Veldhuis

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

It has been long known that when spacetime symmetry is spontaneously broken, some of the broken generators may not give rise to independent gapless, Nambu-Goldstone excitations. We provide two complementary viewpoints of this phenomenon. On…

High Energy Physics - Phenomenology · Physics 2014-04-23 Tomáš Brauner , Haruki Watanabe

Dynamical symmetry breaking and the formation of scalar condensates in the SU(2)XU(1) Nambu-Jona-Lasinio model with two coupling constants has been studied in the framework of the mean field approximation. The bosonization procedures of the…

Nuclear Theory · Physics 2010-12-17 S. I. Kruglov

The exact symmetry induced by the global shift of energy scale for the cosmological constant in the action of matter fields is spontaneously broken by setting the density of real vacuum energy and explicitly broken by the gravity that means…

General Relativity and Quantum Cosmology · Physics 2019-11-28 Ja. V. Balitsky , V. V. Kiselev

In this work we study spontaneous symmetry breaking patterns in tensor models. We focus on the patterns which lead to effective matrix theories transforming in the adjoint of $U(N)$. We find the explicit form of the Goldstone bosons which…

High Energy Physics - Theory · Physics 2019-01-30 P. Diaz , J. A. Rosabal

We study properties of hadrons in the O(4) linear $\sigma$ model, where we take into account fluctuations of mesons around their mean field values using the Gaussian functional (GF) method. In the GF method we calculate dressed $\sigma$ and…

Nuclear Theory · Physics 2015-04-23 Hua-Xing Chen , Shotaro Imai , Hiroshi Toki , Li-Sheng Geng

We introduce a simple model of dynamical supersymmetry breaking. It is like a supersymmetric version of a Nambu--Jona-Lasinio model with a spin one composite. The simplest version of the model as presented here has a single chiral…

High Energy Physics - Phenomenology · Physics 2015-07-07 Yifan Cheng , Yan-Min Dai , Gaber Faisel , Otto C. W. Kong

A spin version of dynamical mean-field theory is extended for magnetically ordered states in the Heisenberg model. The self-consistency equations are solved with high numerical accuracy by means of the continuous-time quantum Monte Carlo…

Strongly Correlated Electrons · Physics 2013-08-02 Junya Otsuki , Yoshio Kuramoto

After imposing the Gauss law constraint as an initial condition upon the Hilbert space of the Nambu model, in all its generic realizations, we recover QED in the corresponding non-linear gauge A_{\mu}A^{\mu}=n^{2}M^{2}. Our result is…

High Energy Physics - Theory · Physics 2015-06-04 O. J. Franca , R. Montemayor , L. F. Urrutia

The formation of scalar condensates and dynamical symmetry breaking in the U(n) four-fermion models (for n=2,3) with two coupling constants has been studied by the functional integration method. The bosonization procedures of the models…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. I. Kruglov

We present a new picture of global symmetry breaking in quantum field theory and propose a novel realization of symmetry breaking phenomena in terms of the conserved charge associated with its symmetry. In particular, the fermion condensate…

High Energy Physics - Theory · Physics 2007-05-23 T. Fujita , M. Hiramoto , T. Homma , M. Matsumoto , H. Takahashi
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