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The partition function and the order parameter for the chiral symmetry breaking are computed for a family of 2-dimensional interacting theories containing the gauged Thirring model. In particular we derive non-perturbative expressions for…

高能物理 - 理论 · 物理学 2009-10-22 I. Sachs , A. Wipf

I describe a mechanism to understand the relation between chiral-symmetry breaking and eigenmodes of the Dirac operator in lattice QCD with Kogut-Susskind sea quarks. It can be shown that if chiral symmetry is spontaneously broken, the…

高能物理 - 格点 · 物理学 2009-10-31 Xiang-Qian Luo

We study the effect of periodic boundary conditions on chiral symmetry breaking and its restoration in Quantum Chromodynamics. As an effective model of the effective potential for the quark condensate, we use the quark-meson model, while…

高能物理 - 唯象学 · 物理学 2020-12-15 Shen-Song Wan , Daize Li , Bonan Zhang , Marco Ruggieri

The relation between the chiral quark condensate in QCD sum rules and chiral perturbation theory is clarified with the help of a low-energy theorem for the scalar and pseudoscalar correlation functions. It is found that the quark condensate…

高能物理 - 唯象学 · 物理学 2015-06-25 Matthias Jamin

We compute the effects of strong Hubbardlike local electronic interactions on three-dimensional four-component massless Dirac fermions, which in a noninteracting system possess a microscopic global U(1)$\otimes$SU(2) chiral symmetry. A…

强关联电子 · 物理学 2021-01-06 Andras Szabo , Bitan Roy

In this paper we study dynamical chiral symmetry breaking in dimensionally regularized quenched QED within the context of Dyson-Schwinger equations. In D < 4 dimensions the theory has solutions which exhibit chiral symmetry breaking for all…

高能物理 - 理论 · 物理学 2010-03-04 V. P. Gusynin , A. W. Schreiber , T. Sizer , A. G. Williams

We review recent results on the role of light quark states within the QCD phase diagram. In particular, we will discuss how the combined use of theoretical techniques such as Effective Theories, Unitarization and Ward Identities helps to…

高能物理 - 唯象学 · 物理学 2021-06-16 Angel Gómez Nicola

Explicit chiral symmetry breaking is a natural feature of many QCD inspired models with multi-quark interactions. To carry out the 1/N expansion of these theories, one integrates over the quark fields. In the process of calculating the…

高能物理 - 理论 · 物理学 2007-08-23 Alexander A. Osipov , Brigitte Hiller , Alex H. Blin

The $U(1)_A$ symmetry of the massless QCD Lagrangian is explicitly broken in the quantised theory by the anomaly. It may be effectively restored at some finite temperature, which would have important consequences for the order of the chiral…

高能物理 - 格点 · 物理学 2026-01-30 Ryan Bignell , Gert Aarts , Chris Allton , Benjamin Jäger , Seyong Kim , Jon-Ivar Skullerud , Antonio Smecca

Chiral dynamics is investigated using the chiral confining Lagrangian (CCL), previously derived from QCD with confinement interaction. Based on the calculations of the quark condensate, which is defined entirely by confinement in the zero…

高能物理 - 唯象学 · 物理学 2022-01-26 Yu. A. Simonov

Results are presented of a Monte Carlo simulation of a 2+1 dimensional Gross-Neveu model with SU(2)xSU(2) chiral symmetry at non-zero baryon chemical potential, corresponding to non-zero baryon density. The phenomenon of quark pair…

高能物理 - 格点 · 物理学 2009-10-31 Susan Morrison

We examine spontaneous symmetry breaking of a renormalisable U(1) x U(1) gauge theory coupled to fermions when kinetic mixing is present. We do not assume that the kinetic mixing parameter is small. A rotation plus scaling is used to remove…

高能物理 - 唯象学 · 物理学 2014-09-09 Biswajoy Brahmachari , Amitava Raychaudhuri

We show how to incorporate chiral symmetry breaking in the soft-wall version of the AdS/QCD model by using a modified dilaton profile and a quartic term in the bulk scalar potential. This allows one to separate the dependence on spontaneous…

高能物理 - 唯象学 · 物理学 2010-04-23 Tony Gherghetta , Joseph I. Kapusta , Thomas M. Kelley

Exploiting operator relations in QCD, we derive a novel and model-independent formula relating the in-medium quark condensate <bar-q q>* to the decay constant F*_t and the wave function renormalization constant Z* of the pion in the nuclear…

核理论 · 物理学 2008-11-26 D. Jido , T. Hatsuda , T. Kunihiro

The occurrence of spontaneous chiral symmetry breaking (SChSB) is equivalent to sufficient abundance of Dirac near-zeromodes. However, dynamical mechanism leading to breakdown of chiral symmetry should be naturally reflected in chiral…

高能物理 - 格点 · 物理学 2013-05-09 Andrei Alexandru , Ivan Horvath

The solution of the axial U(1) problem, the role of the topology of the gauge group in forcing the breaking of axial symmetry in any irreducible representation of the observable algebra and the theta vacua structure are revisited in the…

高能物理 - 理论 · 物理学 2009-09-28 G. Morchio , F. Strocchi

By bosonization of an extended NJL model we derive an effective meson theory which describes the interplay between chiral symmetry and heavy quark dynamics. This effective theory is worked out in the low-energy regime using the gradient…

高能物理 - 唯象学 · 物理学 2009-10-28 D. Ebert , T. Feldmann , R. Friedrich , H. Reinhardt

We study the chiral symmetry breaking and restoration in $ (2+1) $-dimensional gauge theories from the holographic hard and softwall models. We describe the behavior of the chiral condensate in the presence of an external magnetic field for…

高能物理 - 理论 · 物理学 2018-11-13 Diego M. Rodrigues , Danning Li , Eduardo Folco Capossoli , Henrique Boschi-Filho

We address the question if one can empirically distinguish between the two proposed solutions to the ``$U_A (1)$ problem'': the 't Hooft, and the Veneziano-Witten $U_{A}(1)$ symmetry breaking effective interactions. Two hadronic observables…

高能物理 - 唯象学 · 物理学 2009-11-07 V. Dmitrasinovic

We derive a master formula for chiral $SU(2)\times SU(2)$ breaking, based on the Veltman-Bell equations and the Peierls-Dyson relation. Our approach does not rely on the use of the soft pion limit or an expansion around the chiral limit,…

高能物理 - 唯象学 · 物理学 2014-11-17 HIDENAGA YAMAGISHI , ISMAIL ZAHED
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