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The non-perturbative renormalization group equation for the Wilsonian effective potential is given in a certain simple approximation scheme in order to study chiral symmetry breaking phenomena dynamically induced by strong gauge…

High Energy Physics - Theory · Physics 2009-10-31 Ken-Ichi Aoki , Keiichi Morikawa , Jun-Ichi Sumi , Haruhiko Terao , Masashi Tomoyose

We propose that the recently observed violation of the Wiedemann-Franz law in the normal state of underdoped cuprates is caused by spin-charge separation and dynamical chiral symmetry breaking in a (2+1)-dimensional system consisting of…

Superconductivity · Physics 2009-11-07 Guo-Zhu Liu , Geng Cheng

Starting with the conformal transformations in the momentum space, the nonlinear $\sigma$-model and the standard model with the spontaneous broken $SU(2)\times U(1)$ symmetry are reproduced. The corresponding chiral Lagrangians are given in…

Mathematical Physics · Physics 2012-04-20 A. I. Machavariani

Using lattice QCD we study the spectrum of low-lying fermion eigenmodes. According to the Banks-Casher relation, accumulation of the low-mode is responsible for the spontaneous breaking of chiral symmetry in the QCD vacuum. On the lattice…

High Energy Physics - Phenomenology · Physics 2014-11-20 Shoji Hashimoto

In this article a non-perturbative time-dependent technique is used to treat the initial value problem, in Quantum Mechanics context, for a non-equilibrium self-interacting fermionic system in the presence of an external magnetic field.…

Mathematical Physics · Physics 2010-08-25 Antonio Carlos Mastine , Paulo Laerte Natti , Erica Regina Takano Natti

We review dynamical mass generation in three and four dimensional Ableian gauge theories. The basic approach analyzed here is to solve Schwinger-Dyson equations in some approximations. In both cases, the coupling has to be larger than a…

High Energy Physics - Phenomenology · Physics 2007-05-23 Deog Ki Hong

We construct and analyze theories with a gauge symmetry in the ultraviolet of the form $G \otimes G_b$, in which the vectorial, asymptotically free $G_b$ gauge interaction becomes strongly coupled at a scale where the $G$ interaction is…

High Energy Physics - Phenomenology · Physics 2011-01-17 Ning Chen , Thomas A. Ryttov , Robert Shrock

Chiral symmetry breaking is ubiquitous in biological systems, from DNA to bacterial suspensions. A key unresolved problem is how chiral structures may spontaneously emerge from achiral interactions. We study a simple model of bacterial…

Soft Condensed Matter · Physics 2016-08-18 Rebekka E. Breier , Robin L. B. Selinger , Giovanni Ciccotti , Stephan Herminghaus , Marco G. Mazza

We investigate spontaneous chiral symmetry breaking in SU(N) gauge theories at large N using overlap fermions. The exact zero modes and the low-lying modes of the Dirac operator provide the tools to gain insight into the interplay between…

High Energy Physics - Lattice · Physics 2009-11-10 N. Cundy , M. Teper , U. Wenger

We study fermion number non-conservation (or chirality breaking) in Abelian gauge theories at finite temperature. We consider the presence of a chemical potential $\mu$ for the fermionic charge, and monitor its evolution with real-time…

High Energy Physics - Theory · Physics 2020-06-30 Daniel G. Figueroa , Adrien Florio , Mikhail Shaposhnikov

We study the effect of one-loop corrections from nucleon together with those from boson in the massless chiral sigma model, where we perform the Coleman-Weinberg renormalization procedure. This renormalization procedure has a mechanism of…

Nuclear Theory · Physics 2007-05-23 Setsuo Tamenaga , Hiroshi Toki , Akihiro Haga , Yoko Ogawa

By exploiting the chiral symmetry, we derive analytic formulas for the massless and the massive Ginsparg-Wilson fermion propagators. Using these formulas, we derive an expression for the chiral condensate which is the order parameter for…

High Energy Physics - Lattice · Physics 2011-02-16 Ting-Wai Chiu

We study the dynamics of skyrmions in a metallic chiral magnet. First we show that skyrmions can be created dynamically by destabilizing the ferromagnetic background state through a spin polarized current. We then treat skyrmions as rigid…

Materials Science · Physics 2014-01-14 Shi-Zeng Lin , Charles Reichhardt , Cristian D. Batista , Avadh Saxena

We review how a specific resummation of the so-called "delta-expansion", applied to the QCD Lagrangian, transforms the ordinary perturbative expansion in $\alpha_s$ into an expansion in an arbitrary mass parameter, around the basic scale…

High Energy Physics - Phenomenology · Physics 2009-10-30 J. -L. Kneur

We study the effective quark mass induced by the finite separation of the domain walls in the domain-wall formulation of chiral fermion as the function of the size of the fifth dimension ($L_s$), the gauge coupling $\beta$ and the physical…

High Energy Physics - Lattice · Physics 2009-10-31 Chulwoo Jung , Valeriya Gadiyak , Xiangdong Ji , Robert G. Edwards

We study the (2+1)-dimensional Dirac oscillator in the presence of an external uniform magnetic field ($B$). We show how the change of the strength of $B$ leads to the existence of a quantum phase transition in the chirality of the system.…

Quantum Physics · Physics 2013-12-19 C. Quimbay , P. Strange

The hypothesis that the magnetic catalysis of chiral symmetry breaking is due to interactions of massless fermions in their lowest Landau level is examined in the context of chirally symmetric models with short ranged interactions. It is…

High Energy Physics - Theory · Physics 2009-10-31 G. W. Semenoff , I. A. Shovkovy , L. C. R. Wijewardhana

The implication of chiral symmetry for the pion-induced dissociation of the J/psi is examined in detail. It is shown how the low-energy dynamics of pions, constrained by chiral symmetry, affect the dissociation cross-section. The derived…

High Energy Physics - Phenomenology · Physics 2008-11-26 Alex Bourque , Charles Gale

Spontaneous breaking of chiral symmetry is investigated in the Hamiltonian approach to QCD in Coulomb gauge. The quark wave functional is determined by the variational principle using an ansatz which goes beyond the commonly used BCS-type…

High Energy Physics - Phenomenology · Physics 2015-05-28 Markus Pak , Hugo Reinhardt

We compute the vacuum energy density as a function of the quark condensate in the interacting instanton liquid model (IILM) and examine the pattern of dynamical chiral symmetry breaking from its behavior around the origin. This evaluation…

High Energy Physics - Phenomenology · Physics 2024-12-31 Yamato Suda , Daisuke Jido