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The effective potential of the order parameter for confinement is calculated within the Hamiltonian approach to Yang--Mills theory. Compactifying one spatial dimension and using a background gauge fixing this potential is obtained by…

High Energy Physics - Theory · Physics 2013-01-14 Hugo Reinhardt , Jan Heffner

We draw the three-flavor phase diagram as a function of light- and strange-quark masses for both zero and imaginary quark-number chemical potential, using the Polyakov-loop extended Nambu-Jona-Lasinio model with an effective four-quark…

High Energy Physics - Phenomenology · Physics 2011-11-08 Takahiro Sasaki , Yuji Sakai , Hiroaki Kouno , Masanobu Yahiro

We consider one-loop effective action of SU(3) QCD with a most general constant chromomagnetic (chromoelectric) background which has two independent Abelian field components. The effective potential with a pure magnetic background has a…

High Energy Physics - Phenomenology · Physics 2008-11-26 Y. M. Cho , J. H. Kim , D. G. Pak

Based on a generalized Beth-Uhlenbeck approach to thermodynamics of QCD motivated by cluster decomposition we present a unified equation of state of hot strongly interacting matter and analyze its properties in a wide range of temperatures.…

Nuclear Theory · Physics 2025-08-01 Oleksii Ivanytskyi , David Blaschke , Gerd Röpke

We study the correlators of Polyakov loops, and the corresponding gauge invariant free energy of a static quark-antiquark pair in 2+1 flavor QCD at finite temperature. Our simulations were carried out on $N_t$ = 6, 8, 10, 12, 16 lattices…

High Energy Physics - Lattice · Physics 2015-05-20 Szabolcs Borsányi , Zoltán Fodor , Sándor D. Katz , Attila Pásztor , Kálmán K. Szabó , Csaba Török

We construct an effective action for QCD by expanding the quark determinant in powers of the chemical potential at finite temperature in the case of massless quarks. To cut the infinite series we adopt the Weinberg power counting criteria.…

High Energy Physics - Phenomenology · Physics 2010-04-29 E. S. Fraga , C. Villavicencio

A general effective action for quark matter at nonzero temperature and/or nonzero density is derived. Irrelevant quark modes are distinguished from relevant quark modes, and hard from soft gluon modes, by introducing two separate cut-offs…

Nuclear Theory · Physics 2017-08-23 P. T. Reuter , Q. Wang , D. H. Rischke

In this paper we calculate the divergent part of the one loop effective action for QED on noncommutative space using the background field method. The effective action is obtained up to the second order in the noncommutative parameter theta…

High Energy Physics - Theory · Physics 2009-11-07 Maja Buric , Voja Radovanovic

In order to understand the puzzle of the free energy of an individual quark in QCD, we explicitly construct ensembles with quark numbers $N_V\neq 0\!\mod 3$, corresponding to non-zero triality in a finite subvolume $V$ on the lattice. We…

High Energy Physics - Lattice · Physics 2022-09-27 Milad Ghanbarpour , Lorenz von Smekal

We calculate the complete one-loop effective potential for SU(2) gauge bosons at temperature T as a function of two variables: phi, the angle associated with a non-trivial Polyakov loop, and H, a constant background chromomagnetic field.…

High Energy Physics - Phenomenology · Physics 2009-11-07 Peter N. Meisinger , Michael C. Ogilvie

We calculate the one-loop QCD corrections for the decay of an off-shell vector boson with vector couplings into two pairs of quarks of equal or unequal flavours keeping all orders in the number of colours. These matrix elements are relevant…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. W. N. Glover , D. J. Miller

We analyze the dependence of the QCD transition temperature on the quark (or pion) mass. We find that a linear sigma model, which links the transition to chiral symmetry restoration, predicts a much stronger dependence of T_c on m_pi than…

High Energy Physics - Phenomenology · Physics 2009-11-10 Adrian Dumitru , Dirk Röder , Jörg Ruppert

We study the behavior of the fermion determinant at finite temperature and chemical potential, as a function of the Polyakov loop. The phase of the determinant is correlated with the imaginary part of the Polyakov loop. This correlation and…

High Energy Physics - Lattice · Physics 2009-10-31 Ph. de Forcrand , V. Laliena

Results on the thermal transition of QCD with 3 degenerate flavors, in the lower-left corner of the Columbia plot, are puzzling. The transition is expected to be first-order for massless quarks, and to remain so for a range of quark masses…

High Energy Physics - Lattice · Physics 2017-02-02 Philippe de Forcrand , Massimo D'Elia

We perform an integral reduction for the 3-loop effective gauge coupling and screening mass of QCD at high temperatures, defined as matching coefficients appearing in the dimensionally reduced effective field theory (EQCD). Expressing both…

High Energy Physics - Phenomenology · Physics 2015-06-05 Jan Moeller , York Schroder

The Polyakov loop potential serves to distinguish between the confined hadronic and the deconfined quark-gluon plasma phases of QCD. For Nf=2+1 quark flavors with physical masses we determine the Polyakov loop potential at finite…

High Energy Physics - Phenomenology · Physics 2015-06-16 Christian S. Fischer , Leonard Fister , Jan Luecker , Jan M. Pawlowski

Polyakov loop correlations at finite temperature in two-flavor QCD are studied in lattice simulations with the RG-improved gluon action and the clover-improved Wilson quark action. From the simulations on a $16^3 \times 4$ lattice, we…

High Energy Physics - Lattice · Physics 2008-11-26 Y. Maezawa , S. Ejiri , T. Hatsuda , N. Ishii , N. Ukita , S. Aoki , K. Kanaya

The global center symmetry of quenched QCD at zero baryonic chemical potential is broken spontaneously at a critical temperature $T_c$ leading to a first-order phase transition. Including heavy dynamical quarks breaks the center symmetry…

High Energy Physics - Lattice · Physics 2023-08-08 Reinhold Kaiser , Owe Philipsen

We report on a study of QCD thermodynamics with three flavors of quarks, using a Symanzik improved gauge action and the Asqtad O(a^2) improved staggered quark action. Simulations were carried out with lattice spacings 1/4T, 1/6T and 1/8T…

High Energy Physics - Lattice · Physics 2008-11-26 The MILC Collaboration , C. Bernard , T. Burch , C. DeTar , Steven Gottlieb , E. B. Gregory , U. M. Heller , J. Osborn , R. Sugar , D. Toussaint

We develop the heat kernel method in the context of finite temperature quantum field theory. We compute the heat kernel expansion in the presence of general gauge and scalar fields which may be non Abelian and non stationary. The Polyakov…

High Energy Physics - Phenomenology · Physics 2017-01-03 Eugenio Megias
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