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When the quark masses are lighter than those in QCD, the standard lore is that a chiral transition of first order must emerge for three, light flavors. Recently, however, numerical simulations on the lattice suggest that the chiral…

High Energy Physics - Phenomenology · Physics 2025-01-15 Francesco Giacosa , Győző Kovács , Péter Kovács , Robert D. Pisarski , Fabian Rennecke

We describe our recent proposal that distinct phases of gauge theories with fundamental quarks translate into specific types of low-energy behavior in Dirac spectral density. The resulting scenario is built around new evidence…

High Energy Physics - Lattice · Physics 2015-12-01 Andrei Alexandru , Ivan Horváth

We discuss the behavior of two non-supersymmetric chiral SU(N) gauge theories, involving fermions in the symmetric and antisymmetric two-index tensor representations respectively. In addition to global anomaly matching, we employ a recently…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. Appelquist , Z. Duan , F. Sannino

We study the anomalous decays $\pi^0, \eta \to\gamma\gamma$ in the framework of the three--flavor Nambu--Jona-Lasinio [NJL] model, in the vacuum and in quark matter in $\beta$ --equilibrium. It is found that the behavior of the relevant…

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

The chiral soliton model including pi, rho, omega mesons is extended for the case when the scalar - isoscalar sigma meson has an anomalous dimension - d. The form factor of the sigma - nucleon interaction calculated and to be found not…

Nuclear Theory · Physics 2007-05-23 Abdulla Rakhimov

I study the consequences of chiral symmetry restoration for the Dirac spectrum in finite-temperature gauge theories in the two-flavor chiral limit, using Ginsparg--Wilson fermions on the lattice. I prove that chiral symmetry is restored at…

High Energy Physics - Lattice · Physics 2025-10-29 Matteo Giordano

It is believed at present that the chiral transition changes from a smooth crossover to a first-order transition at low temperatures and high densities. Such regime is commonly analyzed using effective models since first principle…

Nuclear Theory · Physics 2025-11-20 R. M. Aguirre

The SU(3)_{r} \times SU(3)_{\ell} linear sigma model is used to study the chiral symmetry restoring phase transition of QCD at nonzero temperature. The line of second order phase transitions separating the first order and smooth crossover…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. T. Lenaghan

Chiral symmetry restoration at nonzero temperature and quark densities are investigated in the framework of a linear sigma model with N_f=3 light quark flavors. After the derivation of the grand potential in mean-field approximation, the…

High Energy Physics - Phenomenology · Physics 2009-11-19 Bernd-Jochen Schaefer , Mathias Wagner

We use a nonperturbative approach which combines coupled channel Lippmann Schwinger equations with meson-meson potentials provided by the lowest order chiral Lagrangians. By means of one parameter, a cut off in the momentum of the loop…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. A. Oller , E. Oset

We use a non-perturbative approach which combines coupled channel Lippmann-Schwinger equations with meson-meson potentials provided by the lowest order chiral Lagrangian. By means of one parameter, a cut off in the momentum of the loop…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. A. Oller , E. Oset

The presently experimentally interesting form factor for the anomalous process gamma -> pi^+ pi^0 pi^- is calculated as the quark "box"-amplitude where the intermediate fermion loop is the one of constituent quarks with the pseudoscalar…

High Energy Physics - Phenomenology · Physics 2009-10-31 Bojan Bistrovic , Dubravko Klabucar

We study the chiral phase transition at finite temperature in the linear sigma model by employing a self-consistent Hartree approximation. This approximation is introduced by imposing self-consistency conditions on the effective meson mass…

Nuclear Theory · Physics 2009-10-30 Heui-Seol Roh , T. Matsui

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

The amplitude for the anomalous transitions gamma pi(+) -> pi(0) pi(+) is analyzed within Chiral Perturbation Theory including electromagnetic interactions. The presence of a t-channel one-photon exchange contribution induces sizeable e^2…

High Energy Physics - Phenomenology · Physics 2009-11-07 Ll. Ametller , M. Knecht , P. Talavera

We study the chiral phase transition in the linear sigma model with 2 quark flavors and $N_c$ colors. One-loop calculations predict a first-order phase transition at both $\mu=0$ and $\mu\neq 0$. We also discuss the phase diagram and make a…

High Energy Physics - Phenomenology · Physics 2014-11-17 Neven Bilic , Hrvoje Nikolic

We investigate the existence of inhomogeneous chiral phases in the quark-meson model with explicit chiral-symmetry breaking. We find that the inhomogeneous region shrinks with increasing pion masses but survives for the physical value of…

High Energy Physics - Phenomenology · Physics 2021-01-18 Michael Buballa , Stefano Carignano , Lennart Kurth

We construct a model to describe dense hadronic matter at zero and finite temperature, based on the parity doublet model of DeTar and Kunihiro, with including the iso-singlet scalar meson $\sigma$ as well as $\rho$ and $\omega$ mesons. We…

Nuclear Theory · Physics 2015-08-12 Yuichi Motohiro , Youngman Kim , Masayasu Harada

We make a theoretical study of the charge and forward-backward pion asymmetries in the e+e- --> pi+ pi- gamma process on and off the phi resonance energy. These observables are rather sensitive to the inner details of the theoretical models…

High Energy Physics - Phenomenology · Physics 2010-02-03 L. Roca , E. Oset

Properties and temperature behavior of pi and sigma bound states are studied in the framework of the nonlocal model with a separable interaction kernel based on the quark Dyson-Schwinger and the meson Bethe-Salpeter equations. M_pi(T),…

High Energy Physics - Phenomenology · Physics 2009-11-11 D. Blaschke , Yu. L. Kalinovsky , A. E. Radzhabov , M. K. Volkov