Fermionic Boundary Conditions and the Finite Temperature Transition of QCD

Bilgici, Erek; Bruckmann, Falk; Danzer, Julia; Gattringer, Christof; Hagen, Christian; Ilgenfritz, E. M.; Maas, Axel

doi:10.1007/s00601-009-0068-x

Cited by 34 publications

(42 citation statements)

References 41 publications

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“…de Useful tools to address these questions are the so-called dual observables [7,8,9,10,11,12,13,14,15,16,17]. These are obtained by modifying the temporal boundary conditions of the valence (test) quarks, without altering the dynamics of the theory 1 .…”

Section: Introductionmentioning

confidence: 99%

Chiral and deconfinement transition from correlation functions: SU(2) vs. SU(3)

2010

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Abstract. We study a gauge invariant order parameter for deconfinement and the chiral condensate in SU(2) and SU(3) Yang-Mills theory in the vicinity of the deconfinement phase transition using the Landau gauge quark and gluon propagators. We determine the gluon propagator from lattice calculations and the quark propagator from its Dyson-Schwinger equation, using the gluon propagator as input. The critical temperature and a deconfinement order parameter are extracted from the gluon propagator and from the dependency of the quark propagator on the temporal boundary conditions. The chiral transition is determined using the quark condensate as order parameter. We investigate whether and how a difference in the chiral and deconfinement transition between SU(2) and SU(3) is manifest.

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Section: Introductionmentioning

confidence: 99%

Chiral and deconfinement transition from correlation functions: SU(2) vs. SU(3)

2010

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“…However, the LGT calculations demonstrate that σ(ϕ) exhibits quite different behavior from that for the imaginary chemical potential [56]. σ(ϕ) shows a periodicity of 2π in ϕ, not 2π/3 which is required by the RW periodicity.…”

Section: Dual Parameter For the Confinement-deconfinement Transitionmentioning

confidence: 99%

Probing deconfinement in a chiral effective model with Polyakov loop at imaginary chemical potential

et al. 2011

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The phase structure of the two-flavor Polyakov-loop extended Nambu-Jona-Lashinio model is explored at finite temperature and imaginary chemical potential with a particular emphasis on the confinement-deconfinement transition. We point out that the confined phase is characterized by a cos 3µI /T dependence of the chiral condensate on the imaginary chemical potential while in the deconfined phase this dependence is given by cos µI /T and accompanied by a cusp structure induced by the Z(3) transition. We demonstrate that the phase structure of the model strongly depends on the choice of the Polyakov loop potential U. Furthermore, we find that by changing the four fermion coupling constant Gs, the location of the critical endpoint of the deconfinement transition can be moved into the real chemical potential region. We propose a new parameter characterizing the confinement-deconfinement transition.

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“…Recently, some dual observables are introduced as the new order parameters for center symmetry by using the twisted boundary conditions for quarks [3][4][5][6]. Especially, it is demonstrated in the formalism of lattice QCD [3,4] that the dressed Polyakov loop (DPL) interpolates between the chiral condensate and the thin PL.…”

Section: Introductionmentioning

confidence: 99%

“…Especially, it is demonstrated in the formalism of lattice QCD [3,4] that the dressed Polyakov loop (DPL) interpolates between the chiral condensate and the thin PL. The studies from the functional methods [7][8][9][10] and effective models [11][12][13] also suggest the DPL shows the order parameterlike behavior like the thin PL.…”

Section: Introductionmentioning

confidence: 99%

Effect of entanglement on dual condensates at finite isospin chemical potential from an entangled Polyakov-Nambu-Jona-Lasinio model

Zhang

Qing

2016

EPJ Web Conf.

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Abstract. The dual observables as order parameters for deconfinement transition are investigated at finite isospin chemical potential μ I in an entangled Polyakov-Nambu-Jona-Lasinio model of QCD. Compared to PNJL, the four quark vertice with entanglement between the Polyakov loop and the chiral and pion condensates are considered in this model. We mainly concentrate on the role of this entanglement on the thermal behavior of the dressed polyakov loop and the dual pion condensate for μI > mπ/2. We find that the T -dependences of these dual condensates are qualitatively consistent with the PNJL results. Due to the entanglement, the critical temperatures determined by the quark and pion condensates and their corresponding dual partners get close to that extracted from the Polyakov loop.

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Fermionic Boundary Conditions and the Finite Temperature Transition of QCD

Cited by 34 publications

References 41 publications

Chiral and deconfinement transition from correlation functions: SU(2) vs. SU(3)

Chiral and deconfinement transition from correlation functions: SU(2) vs. SU(3)

Probing deconfinement in a chiral effective model with Polyakov loop at imaginary chemical potential

Effect of entanglement on dual condensates at finite isospin chemical potential from an entangled Polyakov-Nambu-Jona-Lasinio model

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