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We have used the Cornwall--Jackiw--Tomboulis method of composite operators and its formulation at finite temperature by Amelino-Camelia and Pi, in order to calculate the effective potential of the O(4) linear sigma model beyond the Hartree…

High Energy Physics - Phenomenology · Physics 2009-11-10 Nicholas Petropoulos

The transition temperature ($T_c$) of QCD is determined by Symanzik improved gauge and stout-link improved staggered fermionic lattice simulations. We use physical masses both for the light quarks ($m_{ud}$) and for the strange quark…

High Energy Physics - Lattice · Physics 2008-11-26 Y. Aoki , Z. Fodor , S. D. Katz , K. K. Szabo

A holographic model of QCD at finite temperature is proposed and thermal properties for light mesons are examined in terms of this model. We find interesting temperature dependences of masses and decay constants for several mesons, and…

High Energy Physics - Phenomenology · Physics 2009-11-11 Kazuo Ghoroku , Masanobu Yahiro

We analyse the QCD chiral phase transition in the nonlinear and linear $\sigma$-model. The strategy is the same in both cases. We fix the parameters of the effective meson theory at temperature $T=0$ and extrapolate the models to…

High Energy Physics - Phenomenology · Physics 2009-09-25 H. J. Pirner , B. -J. Schaefer

We investigate the criticality of chiral phase transition manifested in the first and second order derivatives of Dirac eigenvalue spectrum with respect to light quark mass in (2+1)-flavor lattice QCD. Simulations are performed at…

High Energy Physics - Lattice · Physics 2023-10-20 Heng-Tong Ding , Wei-Ping Huang , Min Lin , Swagato Mukherjee , Peter Petreczky , Yu Zhang

Our aim is to give a self-contained review of recent advances in the analytic description of the deconfinement transition and determination of the deconfinement temperature in lattice QCD at large N. We also include some new results, as for…

High Energy Physics - Theory · Physics 2015-06-26 M. Billo' , M. Caselle , A. D'Adda , S. Panzeri

In quantum field theories at finite temperature spectral functions describe how particle systems behave in the presence of a thermal medium. Although data from lattice simulations can in principle be used to determine spectral function…

High Energy Physics - Lattice · Physics 2023-01-11 Peter Lowdon , Owe Philipsen

We study two effective models for QCD, the Nambu-Jona-Lasinio -model and the linear sigma model extended by including a Polyakov loop potential, which is fitted to reproduce pure gauge theory thermodynamics, and a coupling between the…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. Kahara , K. Tuominen

The effect of finite isospin chemical potential to the effective masses of the mesons at finite temperature is investigated in the framework of the O(4) linear sigma model with explicit chiral symmetry breaking. We present a mechanism to…

High Energy Physics - Phenomenology · Physics 2009-11-11 Hong Mao , Nicholas Petropoulos , Song Shu , Wei-Qin Zhao

We demonstrate that chiral symmetry restoration in quenched finite temperature QCD depends crucially on the $Z_3$ phase of the Polyakov loop ${\cal P}$. This dependence is a general consequence of the coupling of the chiral order parameter…

High Energy Physics - Lattice · Physics 2011-05-05 Peter N. Meisinger , Michael C. Ogilvie

I report on recent results obtained within the Hamiltonian approach to QCD in Coulomb gauge. Furthermore this approach is compared to recent lattice data, which were obtained by an alternative gauge fixing method and which show an improved…

High Energy Physics - Theory · Physics 2017-06-12 H. Reinhardt , G. Burgio , D. Campagnari , E. Ebadati , J. Heffner , M. Quandt , P. Vastag , H. Vogt

The linear-$\sigma$ model has been widely used to describe the chiral phase transition. Numerically, the critical temperature $T_{c}$ of the chiral phase transition is in agreement with other effective theories of QCD. However, in the…

High Energy Physics - Phenomenology · Physics 2011-10-24 Achim Heinz

Using the ideas of effective field theory and dimensional reduction, we relate the parameters of two low energy models of QCD: the O(N) nonlinear sigma model in D=3+1, which describes the dynamics of cool pions, and the O(N) Heisenberg…

High Energy Physics - Theory · Physics 2007-05-23 Marcello B. Silva Neto

The linear O($N$) sigma model undergoes a symmetry restoring phase transition at finite temperature. We show that the nonlinear O($N$) sigma model also undergoes a symmetry restoring phase transition; the critical temperatures are the same…

High Energy Physics - Phenomenology · Physics 2009-10-28 Alexander Bochkarev , Joseph Kapusta

We study chiral symmetry restoration by analyzing thermal properties of QCD's (pseudo-)Goldstone bosons, especially the pion. The meson properties are obtained from the spectral densities of mesonic imaginary-time correlation functions. To…

High Energy Physics - Phenomenology · Physics 2023-02-15 Yin-Zhen Xu , Si-Xue Qin , Hong-Shi Zong

We propose a practical effective model by introducing temperature ($T$) dependence to the coupling strengths of four-quark and six-quark Kobayashi-Maskawa-'t Hooft interactions in the 2+1 flavor Polyakov-loop extended Nambu-Jona-Lasinio…

High Energy Physics - Phenomenology · Physics 2017-07-05 Masahiro Ishii , Hiroaki Kouno , Masanobu Yahiro

We extend the hadronic SU(3) non-linear sigma model to include quark degrees of freedom. The choice of potential for the Polyakov loop as a function of temperature and chemical potential allows us to construct a realistic phase diagram from…

Solar and Stellar Astrophysics · Physics 2010-04-29 V. A. Dexheimer , S. Schramm

We present a recently introduced strategy to study non-perturbatively thermal QCD up to temperatures of the order of the electro-weak scale, combining step scaling techniques and shifted boundary conditions. The former allow to renormalize…

High Energy Physics - Lattice · Physics 2024-10-17 Leonardo Giusti , Matteo Bresciani , Mattia Dalla Brida , Tim Harris , Davide Laudicina , Michele Pepe , Pietro Rescigno

We use the linear sigma model coupled to quarks, together with a plausible location of the critical end point (CEP), to study the chiral symmetry transition in the QCD phase diagram. We compute the effective potential at finite temperature…

High Energy Physics - Phenomenology · Physics 2017-08-02 Alejandro Ayala , Jorge David Castano-Yepes , J. J. Cobos-Martinez , Saul Hernandez-Ortiz , Ana Julia Mizher , Alfredo Raya

The non-extensive self-consistent theory describing the thermodynamics of hadronic systems at high temperatures is used to derive some thermodynamical quantities, as pressure, entropy, speed of sound and trace-anomaly. The calculations are…

High Energy Physics - Phenomenology · Physics 2013-03-05 Airton Deppman