Strange mass dependence of the tricritical point in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>U</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>3</mml:mn><mml:msub><mml:mo stretchy="false">)</mml:mo><mml:mi>L</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:mi>U</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>3</mml:mn><mml:msub><mml:mo stretchy="false">)</mml:mo><mml:mi>R</mml:mi></mml:msub></mml:math>chiral sigma model

Jakovác, Antal; Szép, Zsolt

doi:10.1103/physrevd.82.125038

Cited by 10 publications

(6 citation statements)

References 51 publications

(87 reference statements)

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“…The result of Ref. [62] would suggest the absence of CEP, unless the µ crit B (m u,d , m s ) surface of the second order phase transition points behaves nonmonotonously with increasing µ B , similar to the situation observed, e.g., in [63] in the Nambu-Jona-Lasinio model, using a µ B -dependent 't Hooft coupling, or in [64], in the linear sigma model.…”

Section: B Thermodynamical Quantities At µB =mentioning

confidence: 53%

Existence of the critical endpoint in the vector meson extended linear sigma model

2016

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The chiral phase transition of the strongly interacting matter is investigated at nonzero temperature and baryon chemical potential (µB) within an extended (2 + 1) flavor Polyakov constituent quark-meson model that incorporates the effect of the vector and axial vector mesons. The effect of the fermionic vacuum and thermal fluctuations computed from the grand potential of the model is taken into account in the curvature masses of the scalar and pseudoscalar mesons. The parameters of the model are determined by comparing masses and tree-level decay widths with experimental values in a χ 2 -minimization procedure that selects between various possible assignments of scalar nonet states to physical particles. We examine the restoration of the chiral symmetry by monitoring the temperature evolution of condensates and the chiral partners' masses and of the mixing angles for the pseudoscalar η −η ′ and the corresponding scalar complex. We calculate the pressure and various thermodynamical observables derived from it and compare them to the continuum extrapolated lattice results of the Wuppertal-Budapest collaboration. We study the T − µB phase diagram of the model and find that a critical endpoint exists for parameters of the model, which give acceptable values of χ 2 . A. Lagrangian of the PQM with (axial) vector mesonsAccording to the considerations above, the Lagrangian we shall use has the following form:

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Section: B Thermodynamical Quantities At µB =mentioning

confidence: 53%

Existence of the critical endpoint in the vector meson extended linear sigma model

2016

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“…Spontaneous breaking of chiral symmetry of quantum chromodynamics (QCD) can be studied efficiently via effective scalar theories. The U (n) × U (n) family of meson models, based on (approximate) n-flavor chiral symmetry is a popular starting point of investigating low-energy strong interaction [1][2][3][4][5][6][7][8][9][10], giving account of the spontaneous breaking U L (n) × U R (n) −→ U V (n). Depending on the actual energy scale, flavor numbers n = 2, 3 have phenomenological relevance, with an unlikely extension to n = 4.…”

Section: Introductionmentioning

confidence: 99%

Fluctuation induced first order phase transition inU(n)×U(n)models using chiral invariant expansion of functional renormalization group flows

Fejős

2014

Phys. Rev. D

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Phase transition in U (n)×U (n) models is investigated for arbitrary flavor number n. We present a nonperturbative, 3+1 dimensional finite temperature treatment of obtaining the effective potential, based on a chiral invariant expansion of the functional renormalization group flows. The obtained tower of equations is similar but not identical to that of the Dyson-Schwinger hierarchy and has to be truncated for practical purposes. We investigate the finite temperature behavior of the system in an expansive set of the parameter space for n = 2, 3, 4 and also perform a large-n analysis. Our method is capable of recovering the one-loop β functions of the coupling constants of the ǫ expansion; furthermore, it shows direct evidence that regardless of the actual flavor number, within our approximation, the system undergoes a fluctuation induced first order phase transition.

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“…In recent years, effective chiral models, having the pattern of chiral symmetry breaking as that of QCD like the linear sigma models(LSM) [18][19][20][21][22][23][24],the quark-meson (QM) models(see e.g. [25][26][27][28][29][30][31][32][33][34][35]), Nambu-Jona-Lasinio (NJL) type models [25,[36][37][38][39], have led to the investigation of the properties and structure of chiral symmetry restoring phase transition at sufficiently high temperature and density. Further these models were extended to incorporate the features of confinement-deconfinement transition where chiral condensate and Polyakov loop got simultaneously coupled to the quark degrees of freedom.…”

Section: Introductionmentioning

confidence: 99%

Revisiting the phase structure of the Polyakov-quark-meson model in the presence of vacuum fermion fluctuation

Gupta

Tiwari

2012

Phys. Rev. D

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We have considered the contribution of fermionic vacuum loop in the effective potential of Polyakov loop extended Quark Meson Model (PQM) for the two quark flavour case and explored the phase structure and thermodynamics of the resulting PQMVT model (Polyakov Quark Meson Model with Vacuum Term) in detail at non zero as well as zero chemical potential. The temperature variations of order parameters and their derivatives have been calculated and the phase diagram together with the location of critical end point (CEP) has been obtained in µ, and T plane in both the models PQMVT and PQM. The PQMVT model analysis has been compared with the calculations in PQM model in order to bring out the effect of fermionic vacuum term on the physical observables. We notice that the critical end point (CEP) which is located near the temperature axis at (µ = 81.0, T = 167 MeV) in the PQM model gets shifted close to the chemical potential axis at (µCEP = 294.7, TCEP = 84.0 MeV) in the PQMVT model calculations of the phase diagram. Since it emerges from a background of second order transition in the chiral limit of massless quarks, the crossover occurring at µ = 0 in PQMVT model for the realistic case of explicitly broken chiral symmetry, has been identified as quite a soft and smooth transition. We have presented and compared the results for temperature variations of thermodynamic observables at zero and different non-zero quark chemical potentials. It is noticed that the presence of fermionic vacuum term in the effective potential leads to a smoother and slower temperature variation of thermodynamic quantities.

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Strange mass dependence of the tricritical point in theU(3)L×U(3)Rchiral sigma model

Cited by 10 publications

References 51 publications

Existence of the critical endpoint in the vector meson extended linear sigma model

Existence of the critical endpoint in the vector meson extended linear sigma model

Fluctuation induced first order phase transition inU(n)×U(n)models using chiral invariant expansion of functional renormalization group flows

Revisiting the phase structure of the Polyakov-quark-meson model in the presence of vacuum fermion fluctuation

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