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QCD with three degenerate quark flavours at zero baryon density exhibits a first order thermal phase transition for small quark masses, which changes to a smooth crossover for some critical quark mass m^c_0, i.e. the chiral critical point.…

High Energy Physics - Lattice · Physics 2008-11-26 Philippe de Forcrand , Owe Philipsen

We consider the quark-meson model with two quark flavors in a constant external magnetic field $B$ at finite temperature $T$ and finite baryon chemical potential $\mu_B$. We calculate the full renormalized effective potential to one-loop…

High Energy Physics - Phenomenology · Physics 2015-05-28 Jens O. Andersen , Rashid Khan

We study the phase structure of full QCD within the canonical ensemble with respect to triality in a lattice formulation. The procedure for the calculation of the effective potentials in this case is given. As an example we consider the…

High Energy Physics - Lattice · Physics 2008-11-26 O. Borisenko , M. Faber , G. Zinovjev

The chiral and deconfinement phase transitions are investigated within the variational Hamiltonian approach to QCD in Coulomb gauge. The temperature $\beta^{- 1}$ is introduced by compactifying a spatial dimension. Thereby the whole…

High Energy Physics - Theory · Physics 2016-11-15 H. Reinhardt , P. Vastag

Understanding the character of the deconfinement phase transition is one of the fundamental challenges in particle physics. In this work, we derive a formula for the expectation value of the Polyakov loop -- the order parameter of the…

High Energy Physics - Phenomenology · Physics 2025-06-17 Bing-Kai Sheng , Yong-Liang Ma

Confinement may be more easily demonstrated at finite temperature using the Polyakov loop than at zero temperature using the Wilson loop. A natural mechanism for confinement can arise via the coupling of the adjoint Polyakov loop to F_{mu…

High Energy Physics - Lattice · Physics 2009-10-30 Peter N. Meisinger , Michael C. Ogilvie

We use the linear sigma model coupled to quarks to explore the location of the phase transition lines in the QCD phase diagram from the point of view of chiral symmetry restoration at high temperature and baryon chemical potential. We…

High Energy Physics - Phenomenology · Physics 2020-03-18 Alejandro Ayala , Luis A. Hernandez , Marcelo Loewe , J. C. Rojas , Renato Zamora

The effective potential of the order parameter for confinement is calculated for SU(N) Yang--Mills theory in the Hamiltonian approach. Compactifying one spatial dimension and using a background gauge fixing, this potential is obtained…

High Energy Physics - Theory · Physics 2013-10-08 Hugo Reinhardt , Jan Heffner

By using the dressed Polyakov loop or dual chiral condensate as an equivalent order parameter of the deconfinement phase transition, we investigate the relation between the chiral and deconfinement phase transitions at finite temperature…

High Energy Physics - Phenomenology · Physics 2017-08-23 Fukun Xu , Tamal K. Mukherjee , Huan Chen , Mei Huang

The effective potential of scalar quantum electrodynamics with N flavors of complex scalar fields is studied, by performing a self consistent 1/N expansion up to next to leading order in $1/N$. Starting from the broken phase at zero…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Carena , C. E. M. Wagner

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

We investigate the thermal conductivity ($\kappa$) of the quark matter at finite quark chemical potential $(\mu)$ and temperature $(T)$, employing the Green-Kubo formula, for the SU(2) light-flavor sector with the finite current-quark mass…

High Energy Physics - Phenomenology · Physics 2015-03-05 Seung-il Nam

We present arguments suggesting that large size overlapping instantons are the driving mechanism of the confinement-deconfinement phase transition at nonzero chemical potential mu. The arguments are based on the picture that instantons at…

High Energy Physics - Phenomenology · Physics 2017-08-23 Ariel R. Zhitnitsky

Paradigme shift in gauge topology, from instantons to their constituents -- instanton-dyons -- has recently lead to very significant advances. Like instantons, they have fermionic zero modes, and their collectivization at sufficiently high…

Nuclear Theory · Physics 2017-10-10 Edward Shuryak

The temperature behaviour of meson condensates $<\sigma_0>$ and $<\sigma_8>$ is calculated in the $SU(3)\times SU(3)$-linear sigma model. The couplings of the Lagrangian are fitted to the physical $\pi,K,\eta,\eta'$ masses, the pion decay…

High Energy Physics - Phenomenology · Physics 2010-11-01 D. Metzger , H. Meyer--Ortmanns , H. --J. Pirner

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

We investigate the phase structure of strongly interacting matter at non-vanishing isospin before the onset of pion condensation in the framework of the unquenched Polyakov-Quark-Meson model with 2+1 quark flavors. We show results for the…

High Energy Physics - Phenomenology · Physics 2014-01-15 Rainer Stiele , Eduardo S. Fraga , Juergen Schaffner-Bielich

We study the chiral phase transition of QCD at finite temperature and density by numerically solving Schwinger-Dyson equation for the quark propagator with the improved ladder approximation in the Landau gauge. Using the solution we…

High Energy Physics - Phenomenology · Physics 2011-08-17 Masayasu Harada , Akihiro Shibata

We study the thermodynamic properties of matter at vanishing temperature for non-extreme values of the isospin chemical potential and of the strange quark chemical potential. From the leading order pressure obtained by maximizing the static…

High Energy Physics - Phenomenology · Physics 2016-04-06 Stefano Carignano , Andrea Mammarella , Massimo Mannarelli

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