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Related papers: Comments on compositeness in the SU(2) linear sigm…

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We study the chiral symmetry in two-color QCD with N massless flavors at finite temperature, using an effective theory. For the gauge group SU(2), the chiral symmetry is enlarged to SU(2N), which is then spontaneously broken to Sp(2N) at…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. Wirstam

We investigate the full U(3)$\otimes$U(3) chiral symmetry restoration, at finite temperature and density, on the basis of the three flavor Nambu-Jona-Lasinio model with the anomaly term given by the 't Hooft interaction. We implement a…

High Energy Physics - Phenomenology · Physics 2007-05-23 Pedro Costa , M. C. Ruivo , C. A. de Sousa , Yu. L. Kalinovsky

We investigate some aspects of 2-flavor QCD with $m_u\not= m_d$ at low-energy, using the leading order chiral perturbation theory including anomaly effects. While nothing special happens at $m_u=0$ for the fixed $m_d\not=0$, the neutral…

High Energy Physics - Lattice · Physics 2014-04-23 Sinya Aoki , Michael Creutz

The properties of net quark number fluctuations in the vicinity of the QCD chiral phase transition are discussed in terms of an effective chiral model in the mean-field approximation. We focus on the ratio of the fourth- to second- order…

High Energy Physics - Phenomenology · Physics 2009-03-27 B. Stokić , B. Friman , K. Redlich

We calculate the neutral pion mass in the presence of an external magnetic field of arbitrary strength in the framework of the linear sigma model coupled to quarks at zero temperature. We find nonmonotonic behavior of the pion mass as a…

High Energy Physics - Phenomenology · Physics 2020-04-29 Aritra Das , Najmul Haque

We study here the equation of state of symmetric nuclear matter at finite temperatures using a modified SU(2) Chiral Sigma model. The effect of temperature on effective mass, pressure, entropy and binding energy is discussed. The liquid-gas…

Nuclear Theory · Physics 2007-05-23 P. K. Jena , L. P. Singh

We investigate the finite temperature behavior of the meson sector of an effective Lagrangian which describes nuclear matter. A method is developed for evaluating the logarithmic terms in the effective potential which involves expansion and…

Nuclear Theory · Physics 2009-10-30 G. W. Carter , P. J. Ellis , S. Rudaz

We study the dependence of the electric conductivity on chemical potential in finite-density $SU(2)$ gauge theory with $N_f = 2$ flavours of rooted staggered sea quarks, in combination with Wilson-Dirac and Domain Wall valence quarks. The…

High Energy Physics - Lattice · Physics 2020-11-25 P. V. Buividovich , D. Smith , L. von Smekal

The quark-meson model is often used as an effective low-energy model for QCD to study the chiral transition at finite temperature $T$, baryon chemical potential $\mu_B$, and isospin chemical potential $\mu_I$. The parameters of the model…

High Energy Physics - Phenomenology · Physics 2018-04-18 Jens O. Andersen , Patrick Kneschke

A confined quark model study in a couple of chirally anomalous processes is presented in comparison with effective meson Lagrangian approaches of various kind. The processes considered are \pi^0 \to \gamma \gamma and \gamma \to \pi^+ \pi^-…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. A. Ivanov , T. Mizutani

Using Matrix Product Operators (MPO) the Schwinger model is simulated in thermal equilibrium. The variational manifold of gauge invariant MPO is constructed to represent Gibbs states. As a first application the chiral condensate in thermal…

High Energy Physics - Lattice · Physics 2016-10-26 Boye Buyens , Frank Verstraete , Karel Van Acoleyen

We determine the critical couplings for the deconfinement phase transition in $SU(2)$ gauge theory on $N_\tau \times N_\sigma^3$ lattices with $N_\tau = 8$ and 16 and $N_\sigma$ varying between 16 and 48. A comparison with string tension…

High Energy Physics - Lattice · Physics 2009-10-22 J. Fingberg , U. M. Heller , F. Karsch

We show that melting the quark mass, the scalar $\sigma $ mass and the quark condensate leads uniquely to the quark-level SU(2) linear $\sigma $ model field theory. Upon thermalization, the chiral phase transition curve requires $T_c…

High Energy Physics - Theory · Physics 2014-11-18 M. D. Scadron , P. Zenczykowski

The short-distance singularity of the product of a composite scalar field that deforms a field theory and an arbitrary composite field can be expressed geometrically by the beta functions, anomalous dimensions, and a connection on the…

High Energy Physics - Theory · Physics 2009-10-28 Hidenori Sonoda , Wang-Chang Su

This paper is devoted to the evaluation of the pionic scalar density at finite temperature and baryonic density. We express the latter effect in terms of the nuclear response evaluated in the random phase approxima- tion. We discuss the…

Nuclear Theory · Physics 2015-06-26 G. Chanfray , D. Davesne , J. Delorme , M. Ericson , J. Marteau

The restoration of chiral symmetry at finite density and/or temperature is investigated in a wide class of one-gluon exchange models in the instantaneous approximation. If the effective quark interaction is less divergent than $1/k^2$ for…

High Energy Physics - Phenomenology · Physics 2009-10-28 Kurt Langfeld , Hugo Reinhardt

The behavior of $\pi^0$ meson properties in the presence of a uniform external magnetic field is studied in the context of a nonlocal extension of the Polyakov-Nambu-Jona-Lasinio model. The analysis includes the $\pi^0$ mass, the effective…

High Energy Physics - Phenomenology · Physics 2020-07-08 D. Gómez Dumm , M. F. Izzo Villafañe , N. N. Scoccola

We investigate the possible restoration of chiral and axial symmetries across the phase transition at finite temperature and chemical potential, by analyzing the behavior of several physics quantities, such as the quark condensates and the…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. C. Ruivo , Pedro Costa , C. A. de Sousa

The chiral phase transition of the strongly interacting matter is investigated at nonzero temperature and baryon chemical potential mu_B within an extended (2+1) flavor Polyakov constituent quark-meson model which incorporates the effect of…

High Energy Physics - Phenomenology · Physics 2016-09-09 Peter Kovács , Zsolt Szép , György Wolf

We calculate low-energy meson decay processes and pion-pion scattering lengths in a two-flavour linear sigma model with global chiral symmetry, exploring the scenario in which the scalar mesons $f_0$(600) and $a_0$(980) are assumed to be…

High Energy Physics - Phenomenology · Physics 2009-06-25 Denis Parganlija , Francesco Giacosa , Dirk H. Rischke