Connecting an effective model of confinement and chiral symmetry to lattice QCD

Fraga, Eduardo S.; Mócsy, Ágnes

doi:10.1590/s0103-97332007000200020

Cited by 8 publications

(8 citation statements)

References 32 publications

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“…[32]. Then, the dynamics of the approximate order parameters, the chiral condensate and the expectation value of the trace of the Polyakov loop, will be entangled.…”

Section: Discussionmentioning

confidence: 99%

“…Second, there is a need to construct a phenomenological generalized Landau-Ginzburg effective theory describing simultaneously the processes of chiral symmetry restoration and deconfinement in the presence of massive quarks as discussed in Ref. [32]. Then, the dynamics of the approximate order parameters, the chiral condensate and the expectation value of the trace of the Polyakov loop, will be entangled.…”

Section: Discussionmentioning

confidence: 99%

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Langevin dynamics of the pureSU(2)deconfining transition

2007

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We investigate the dissipative real-time evolution of the order parameter for the deconfining transition in the pure SU 2 gauge theory. The approach to equilibrium after a quench to temperatures well above the critical one is described by a Langevin equation. To fix completely the Markovian Langevin dynamics we choose the dissipation coefficient, that is a function of the temperature, guided by preliminary Monte Carlo simulations for various temperatures. Assuming a relationship between Monte Carlo time and real time, we estimate the delay in thermalization brought about by dissipation and noise.

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“…[32]. Then, the dynamics of the approximate order parameters, the chiral condensate and the expectation value of the trace of the Polyakov loop, will be entangled.…”

Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Langevin dynamics of the pureSU(2)deconfining transition

2007

Self Cite

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“…Compared to the counterterm functional used in Eq. ( 48) of [64] to renormalize the stationary equations of the O(N ) model the only difference in (38) is the appearance of the term containing the wave-function renormalization counterterm δZ. This is needed to remove the momentum-dependent divergence of the fermionic contribution to the pion propagator (29) rewritten as…”

Section: Renormalizationmentioning

confidence: 99%

“…The effect of a strong magnetic field expected to be generated in the LHC in noncentral high-energy heavy ion collisions on the chiral and deconfining phase transitions was studied recently in [36] within the PQM model with two flavors. The possibility of coupling the Polyakov loop to meson models without quarks was considered in [37,38].…”

Section: Introductionmentioning

confidence: 99%

Influence of the Polyakov loop on the chiral phase transition in the two flavor chiral quark model

Markó

Szép²

2010

Phys. Rev. D

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The SUð2Þ L Â SUð2Þ R chiral quark model consisting of the ð;Þ meson multiplet and the constituent quarks propagating on the homogeneous background of a temporal gauge field is solved at finite temperature and quark baryon chemical potential q using an expansion in the number of flavors N f , both in the chiral limit and for the physical value of the pion mass. Keeping the fermion propagator at its tree level, several approximations to the pion propagator are investigated. These approximations correspond to different partial resummations of the perturbative series. Comparing their solution with a diagrammatically formulated resummation relying on a strict large-N f expansion of the perturbative series, one concludes that only when the local part of the approximated pion propagator resums infinitely many orders in 1=N f of fermionic contributions a sufficiently rapid crossover transition at q ¼ 0 is achieved allowing for the existence of a tricritical point or a critical end point in the q À T phase diagram. The renormalization and the possibility of determining the counterterms in the resummation provided by a strict large-N f expansion are investigated.

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“…The analysis was based on the following general idea: the behaviour of an order parameter induces a change in the behaviour of non-order parameters at the transition [12], via the presence of a possible coupling between the fields, g 1 σ 2 . In [11] we assumed g 1 > 0, which is confirmed by extracting it from the lattice [13].…”

mentioning

confidence: 84%

Quark mass and the QCD transition

Mócsy¹

2005

J. Phys. G: Nucl. Part. Phys.

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We discuss different aspects of the quark mass dependence of the chiral and deconfinement transitions. We make predictions for locating the deconfining critical point, by analyzing the mq dependence of the ratio of imaginary and real mass of the Polyakov loop. We then present an effective theory that allows the extraction of coupling constants from available lattice data for the temperature dependence of the chiral and Polyakov loop condensates at different quark masses. † Email: (mocsy@th.physik.uni-frankfurt.de) ‡ Some other approaches to study deconfinement are in [3].

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Connecting an effective model of confinement and chiral symmetry to lattice QCD

Cited by 8 publications

References 32 publications

Langevin dynamics of the pureSU(2)deconfining transition

Langevin dynamics of the pureSU(2)deconfining transition

Influence of the Polyakov loop on the chiral phase transition in the two flavor chiral quark model

Quark mass and the QCD transition

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