Effective actions for the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi><mml:mi>U</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math>confinement-deconfinement phase transition

The relation between the deconfinement and chiral phase transition is explored in the framework of an Polyakov-loop-extended two-flavor quark-meson (PQM) model. In this model the Polyakov loop dynamics is represented by a background temporal gauge field which also couples to the quarks. As a novelty an explicit quark chemical potential and N f -dependence in the Polyakov loop potential is proposed by using renormalization group arguments. The behavior of the Polyakov loop as well as the chiral condensate as function of temperature and quark chemical potential is obtained by minimizing the grand canonical thermodynamic potential of the system. The effect of the Polyakov loop dynamics on the chiral phase diagram and on several thermodynamic bulk quantities is presented.

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“…[18,19,35,36,37,38]. This leads to temperatureindependent coefficients b 3 = 0.75 and b 4 = 7.5, and a temperature-dependent one b 2 with…”

Section: A Polyakov Loop Potentialmentioning

confidence: 99%

Phase structure of the Polyakov-quark-meson model

2007

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“…The coefficients in (7) are fixed to reproduce thermodynamic results from lattice QCD simulations in the pure gauge sector. We use parametrizations proposed in [8,[49][50][51][52] …”

Section: B the Modelmentioning

confidence: 99%

Chiral fluid dynamics with explicit propagation of the Polyakov loop

et al. 2013

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We present a fully dynamical model to study nonequilibrium effects in both the chiral and the deconfinement phase transition. The sigma field and the Polyakov loop as the corresponding order parameters are propagated by Langevin equations of motion. The locally thermalized background is provided by a fluid of quarks and antiquarks. Allowing for an exchange of energy and momentum through dissipative and stochastic processes we ensure that the total energy of the coupled system remains conserved. We study its relaxational dynamics in different quench scenarios and are able to observe critical slowing down as well as the enhancement of long wavelength modes at the critical point. During the fluid dynamical expansion of a hot plasma fireball typical nonequilibrium effects like supercooling and domain formation occur when the system evolves through the first order phase transition.

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“…We have done this successfully for SU (2) gauge theory with inverse Monte Carlo techniques [16,23] and plan to publish our results for SU (3) very soon [24]. For the inverse Monte Carlo simulations to work one needs simple geometric Schwinger Dyson equations for the Polyakov loop dynamics.…”

Section: Resultsmentioning

confidence: 99%

“…For further details the reader is referred to our earlier paper [16]. Here µ red is the reduced Haar measure of SU (3).…”

Section: Modif Ied Mean F Ield Approximationmentioning

confidence: 99%

Generalized Potts-Models and their Relevance for Gauge Theories

Wipf¹

2007

SIGMA

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Abstract. We study the Polyakov loop dynamics originating from finite-temperature YangMills theory. The effective actions contain center-symmetric terms involving powers of the Polyakov loop, each with its own coupling. For a subclass with two couplings we perform a detailed analysis of the statistical mechanics involved. To this end we employ a modified mean field approximation and Monte Carlo simulations based on a novel cluster algorithm. We find excellent agreement of both approaches. The phase diagram exhibits both first and second order transitions between symmetric, ferromagnetic and antiferromagnetic phases with phase boundaries merging at three tricritical points. The critical exponents ν and γ at the continuous transition between symmetric and antiferromagnetic phases are the same as for the 3-state spin Potts model.

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Effective actions for theSU(2)confinement-deconfinement phase transition

Cited by 33 publications

References 29 publications

Phase structure of the Polyakov-quark-meson model

Phase structure of the Polyakov-quark-meson model

Chiral fluid dynamics with explicit propagation of the Polyakov loop

Generalized Potts-Models and their Relevance for Gauge Theories

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