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Related papers: Quark-Induced Correlations between Instantons Driv…

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In this work we present the results from numerical simulations of an interacting ensemble of instanton-dyons in the $SU(3)$ gauge group with $N_f=2$ flavors of massless quarks. Dynamical quarks are included via the effective interactions…

High Energy Physics - Phenomenology · Physics 2021-12-01 Dallas DeMartini , Edward Shuryak

Nontrivial topological structures of non-Abelian gauge fields were discovered in the 1970's. Instanton solutions, describing vacuum tunneling through topological barriers, have fermionic zero modes which are at the origin of $^\prime$t…

High Energy Physics - Phenomenology · Physics 2022-03-31 Edward Shuryak , Ismail Zahed

We consider the form of the chiral symmetry breaking piece of the effective potential in the linear sigma model. Surprisingly, it allows for a second local minimum at both zero and finite temperature. Even though chiral symmetry is not…

High Energy Physics - Phenomenology · Physics 2009-10-28 Joseph I. Kapusta , Ajit M. Srivastava

This is an introduction to the use of nonperturbative flow equations in strong interaction physics at nonzero temperature and baryon density. We investigate the QCD phase diagram as a function of temperature, chemical potential for baryon…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Berges

We derive an effective thermodynamic potential (Omega_eff) at finite temperature (T>0) and zero quark-chemical potential (mu_R=0), using the singular-gauge instanton solution and Matsubara formula for N_c=3 and N_f=2 in the chiral limit.…

High Energy Physics - Phenomenology · Physics 2010-05-28 Seung-il Nam

The chiral phase transition at a certain critical temperature is a restoration mechanism of the chiral symmetry, broken by the nonzero mass of quarks and mesons. The transition can be studied through several models, among which are the…

High Energy Physics - Phenomenology · Physics 2008-02-20 F. A. Correa , J. Morales

We solve the long-standing problem concerning the fate of the chiral $U(1)_A$ symmetry in QCD-like theories at high temperature in the chiral limit. We introduce a simple instanton based random matrix model that precisely reproduces the…

High Energy Physics - Lattice · Physics 2023-12-15 Tamas G. Kovacs

"Exotic quarks" in the title refers to a modification of quark periodicity condition on the thermal circle by introduction of some phases -- known also as "flavor holonomies" -- different quark flavors. These phases provide a valuable tool,…

High Energy Physics - Phenomenology · Physics 2016-11-15 Rasmus Larsen , Edward Shuryak

It is shown that periodic instanton solutions may have bifurcations which qualitatively change the behaviour of the finite temperature transition rate. These bifurcations are studied numerically in a quantum mechanical model and in the…

High Energy Physics - Phenomenology · Physics 2009-10-30 A. N. Kuznetsov , P. G. Tinyakov

Chiral quark model with a broken-U(3) flavor symmetry can be interpreted as the effective theory of the instanton-dominated non-perturbative QCD. This naturally suggests the possibility of a negative singlet/octet coupling ratio, which has…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. P. Cheng , Ling-Fong Li

We compute the first order chiral phase transition for an instanton motivated quark model with a local six-quark interaction. In order to compare different solutions of the gap equation we compute the bosonic effective action -- a two…

High Energy Physics - Phenomenology · Physics 2009-11-10 Joerg Jaeckel , Christof Wetterich

The effects of fluctuations are discussed around the phase boundary of the inhomogeneous chiral transition between the inhomogeneous chiral phase and the chiral-restored phase. The particular roles of thermal and quantum fluctuations are…

High Energy Physics - Phenomenology · Physics 2017-04-19 Ryo Yoshiike , Tong-Gyu Lee , Toshitaka Tatsumi

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…

High Energy Physics - Phenomenology · Physics 2020-12-15 Shen-Song Wan , Daize Li , Bonan Zhang , Marco Ruggieri

We explore the phase structure of a chiral model of constituent quarks and gluons implementing scale symmetry breaking at finite temperature and chemical potential. In this model the chiral dynamics is intimately linked to the trace anomaly…

High Energy Physics - Phenomenology · Physics 2015-05-30 Chihiro Sasaki , Igor Mishustin

Chiral restoration at finite temperatures is studied in chiral quark models with non-local regulators. At the leading-N_c level we find transition temperatures of the order of 100MeV. Meson-loop contributions are also analyzed and found to…

High Energy Physics - Phenomenology · Physics 2007-05-23 Barbara Szczerbinska , Wojciech Broniowski

A qualitative analysis of the chiral phase transition in QCD with two massless quarks and non--zero baryon density is performed. It is assumed that at zero baryonic density, \rho=0, the temperature phase transition is of the second order.…

High Energy Physics - Phenomenology · Physics 2009-11-10 M. N. Chernodub , B. L. Ioffe

The temperature ($T$) dependence of the axion mass is predicted for $T$'s up to $\sim 2.3 \times$ the chiral restoration temperature of QCD. The axion is related to the $U_A(1)$ anomaly. The squared axion mass $m_a(T)^2$ is, modulo the…

High Energy Physics - Phenomenology · Physics 2019-10-30 Davor Horvatić , Dalibor Kekez , Dubravko Klabučar

We show that while the zero temperature induced fermion number in a chiral sigma model background depends only on the asymptotic values of the chiral field, at finite temperature the induced fermion number depends also on the detailed shape…

High Energy Physics - Theory · Physics 2009-10-31 I. J. R. Aitchison , G. V. Dunne

We study the nature of the chiral transition for an effective theory with spontaneous breaking of symmetry, where charged bosons and fermions are subject to the effects of a constant external magnetic field. The problem is studied in terms…

High Energy Physics - Phenomenology · Physics 2014-07-02 Alejandro Ayala , Luis Alberto Hernandez , Ana Julia Mizher , Juan Cristobal Rojas , Cristian Villavicencio

In connection with massless two-flavour QCD, we analyse the chiral symmetry restoring phase transition using three distinct gluon-quark vertices and two different assumptions about the long-range part of the quark-quark interaction. In each…

Nuclear Theory · Physics 2014-08-29 Fei Gao , Si-Xue Qin , Yu-Xin Liu , Craig D. Roberts , Sebastian M. Schmidt