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We show that the noncommutativity of space-time destroys the renormalizability of the 1/N expansion of the O(N) Gross-Neveu model. A similar statement holds for the noncommutative nonlinear sigma model. However, we show that, up to the…

High Energy Physics - Theory · Physics 2009-11-07 H. O. Girotti , M. Gomes , V. O. Rivelles , A. J. da Silva

We show that the $\sigma/f_0(500)$ state with finite-temperature $T$ corrections to its spectral properties included, plays an essential role for the description of the scalar susceptibility $\chi_S$, signaling chiral symmetry restoration.…

High Energy Physics - Phenomenology · Physics 2019-03-06 S. Ferreres-Solé , A. Gómez Nicola , A. Vioque-Rodríguez

We consider a chiral baryon-meson model for nucleons and their parity partners in mirror assignment interacting with pions, sigma and omega mesons to describe the liquid-gas transition of nuclear matter together with chiral symmetry…

Nuclear Theory · Physics 2015-08-05 Johannes Weyrich , Nils Strodthoff , Lorenz von Smekal

We study the symmetry behavior of the Gross-Neveu model in three and two dimensions with random chemical potential. This is equivalent to a four-fermion model with charge conjugation symmetry as well as Z_2 chiral symmetry. At high…

High Energy Physics - Theory · Physics 2009-10-31 Seok-In Hong , John B. Kogut

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 present results from numerical simulations of the (2+1)-dimensional Gross-Neveu model with a U(1) chiral symmetry and N_f=4 fermion species at non-zero temperature. We provide evidence that there are two different chirally symmetric…

High Energy Physics - Lattice · Physics 2009-11-07 S. J. Hands , J. B. Kogut , C. G. Strouthos

We discuss the thermodynamics of the O(N) model across the corresponding phase transition using the two-loop Phi-derivable approximation of the effective potential and compare our results to those obtained in the literature within the…

High Energy Physics - Phenomenology · Physics 2013-06-04 Gergely Markó , Urko Reinosa , Zsolt Szép

The percolation properties of equatorial strips of the two dimensional O(3) nonlinear $\sigma$ model are investigated numerically. Convincing evidence is found that a sufficently narrow strip does not percolate at arbitrarily low…

High Energy Physics - Theory · Physics 2007-05-23 A. Patrascioiu , E. Seiler

The classical cubic-lattice dimer model undergoes an unconventional transition between a columnar crystal and a dimer liquid, in the same universality class as the deconfined quantum critical point in spin-1/2 antiferromagnets but with very…

Statistical Mechanics · Physics 2019-03-04 G. J. Sreejith , Stephen Powell , Adam Nahum

We investigate the critical behaviour at theta=pi of the two-dimensional O(3) nonlinear sigma model with topological term on the lattice. Our method is based on numerical simulations at imaginary values of theta, and on scaling…

High Energy Physics - Lattice · Physics 2013-05-30 Vicente Azcoiti , Giuseppe Di Carlo , Eduardo Follana , Matteo Giordano

We study the thermodynamics of massive Gross-Neveu models with explicitly broken discrete or continuous chiral symmetries for finite temperature and fermion densities. The large $N$ limit is discussed bearing attention to the no-go theorems…

High Energy Physics - Theory · Physics 2009-10-28 A. Barducci , R. Casalbuoni , R. Gatto , M. Modugno , G. Pettini

The phase diagram of the three-flavor QCD is mapped out in the low mass corner of the m_pi-m_K--plane with help of the SU_L(3) x SU_R(3) linear sigma model (LSM). A novel zero temperature parametrization is proposed for the mass dependence…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. Herpay , A. Patkos , Zs. Szep , P. Szepfalusy

We discuss the chiral symmetry restoration at high temperature and chemical potential for a four-fermion interaction theory in arbitrary dimensions ($2\leq D<4$). To investigate the ground state of the theory we calculate the effective…

High Energy Physics - Phenomenology · Physics 2007-05-23 Tomohiro Inagaki

In this paper, chiral symmetry breaking and its restoration are investigated in the mean field approximation of Nambu--Jona-Lasinio model. A first-order phase transition exists at low temperature, but is smeared out at high temperature. We…

High Energy Physics - Phenomenology · Physics 2013-12-09 Yi-lun Du , Zhu-fang Cui , Yong-hui Xia , Hong-shi Zong

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

High Energy Physics - Phenomenology · Physics 2017-11-30 Gy. Wolf , P. Kovács

We investigate the phase structure of non-commutative scalar field theories and find evidence for ordered phases which break translation invariance. A self-consistent one-loop analysis indicates that the transition into these ordered phases…

High Energy Physics - Theory · Physics 2009-10-31 Steven S. Gubser , Shivaji L. Sondhi

I study the properties of the scalar sigma-meson [also referred to as f_0(600)] at nonzero temperature in the O(N)-model in the framework of the Cornwall-Jackiw-Tomboulis formalism. In the standard Hartree (or large-N) approximation one…

High Energy Physics - Phenomenology · Physics 2007-05-23 Dirk Roder

Chiral symmetry is dynamically broken in quenched, ladder QED at weak gauge couplings when an external magnetic field is present. In this paper, we show that chiral symmetry is restored above a critical chemical potential and the…

High Energy Physics - Theory · Physics 2008-11-26 D. -S. Lee , C. N. Leung , Y. J. Ng

The SU($3$) Polyakov linear-sigma model (PLSM) in mean-field approximation is utilized in analyzing the chiral condensates $\sigma_u$, $\sigma_d$, $\sigma_s$ and the deconfinement order parameters $\phi$, $\bar{\phi}$, at finite isospin…

High Energy Physics - Phenomenology · Physics 2019-12-02 Abdel Nasser Tawfik , Abdel Magied Diab , M. T. Ghoneim , H. Anwer

We investigate the O(N) symmetric linear $\sigma$-model in two dimensions by means of an exact nonperturbative evolution equation. The perturbative infrared divergences are absent in this formulation. We use a simple approximative solution…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. Gr"ater , C. Wetterich
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