Thermal QCD transition with two flavors of twisted mass fermions

Burger, Florian; Ilgenfritz, Ernst-Michael; Kirchner, Malik; Lombardo, Maria Paola; Müller–Preussker, M.; Philipsen, Owe; Pinke, Christopher; Urbach, Carsten; Zeidlewicz, Lars

doi:10.1103/physrevd.87.074508

Cited by 49 publications

(77 citation statements)

References 65 publications

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“…This Lagrangian satisfies up to a constant shift the following symmetry 6) which is reminiscent of the symmetry (2.20). Note that no chemical potential is involved in this symmetry since the free energy is independent of it in this part of the phase diagram and in this order of the free energy.…”

Section: Phase Diagram Of Twisted Wilson Fermionsmentioning

confidence: 99%

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Phase diagram of dynamical twisted-mass Wilson fermions at finite isospin chemical potential

et al. 2016

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Abstract. We consider the phase diagram of twisted mass Wilson fermions of twoflavor QCD in the parameter space of the quark mass, the isospin chemical potential, the twist angle and the lattice spacing. This work extends earlier studies in the continuum and those at zero chemical potential. We evaluate the phase diagram as well as the spectrum of the (pseudo-)Goldstone bosons using the chiral Lagrangian for twisted mass Wilson fermions at non-zero isospin chemical potential. The phases are obtained from a mean field analysis. At zero twist angle we find that already an infinitesimal isospin chemical potential destroys the Aoki phase. The reason is that in this phase we have massless Goldstone bosons with a non-zero isospin charge. At finite twist angle only two different phases are present, one phase which is continuously connected to the Bose condensed phase at non-zero chemical potential and another phase which is continuously connected to the normal phase. For either zero or maximal twist the phase diagram is more complicated as the saddle point equations allow for more solutions.

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Section: Phase Diagram Of Twisted Wilson Fermionsmentioning

confidence: 99%

“…In the past decade lattice QCD simulations with twisted mass Wilson fermions have attracted a great deal of attention [1][2][3][4][5][6][7][8]. The advancement of algorithms as well as the increasing power of computers have allowed for simulations in the deep chiral regime.…”

Section: Introductionmentioning

confidence: 99%

Phase diagram of dynamical twisted-mass Wilson fermions at finite isospin chemical potential

et al. 2016

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“…The same is true for the behavior of the pseudocritical temperature, as noted both for staggered [18] and Wilson [28] fermions, since the critical exponents are very close, e.g., 1=ðβδÞ ≃ 0.537, 0.639 for Oð4Þ, Z 2 , respectively (see [24,25,27]), so that there is no way of distinguishing the correct scenario within the range of currently explorable quark masses. A more sensitive quantity would be the specific heat [18], whose critical exponent is α ≃ −0.24, 0.11, 1 for Oð4Þ, Z 2 and first order respectively (see [24,25,27]), but unfortunately determining α by lattice simulations is made difficult by the presence of large nonsingular contributions.…”

Section: Introductionmentioning

confidence: 97%

Chiral phase transition in two-flavor QCD from an imaginary chemical potential

et al. 2014

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We investigate the order of the finite temperature chiral symmetry restoration transition for QCD with two massless fermions, by using a novel method, based on simulating imaginary values of the quark chemical potential μ ¼ iμ i , μ i ∈ R. Our method exploits the fact that, for low enough quark mass m and large enough chemical potential μ i , the chiral transition is decidedly first order, then turning into crossover at a critical mass m c ðμÞ. It is thus possible to determine the critical line in the m − μ 2 plane, which can be safely extrapolated to the chiral limit by taking advantage of the known tricritical indices governing its shape. We test this method with standard staggered fermions and the result of our simulations is that m c ðμ ¼ 0Þ is positive, so that the phase transition at zero density is definitely first order in the chiral limit, on our coarse N t ¼ 4 lattices with a ≃ 0.3 fm.

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“…During the first years, the tmfT Collaboration 1 focused on the phase structure in the temperature-mass plane, i.e., the three-dimensional parameter space for temperature, bare quark mass (hopping parameter) and twisted-mass parameter µ [11,12]. Of special interest were the thermal phase transition and the location of the Aoki phase [13].…”

Section: Michael's Scientific Career and Research Topicsmentioning

confidence: 99%

QCD propagators and vertices from lattice QCD (in memory of Michael Müller-Preußker)

Sternbeck

2017

EPJ Web Conf.

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Abstract. We review lattice calculations of the elementary Greens functions of QCD with a special emphasis on the Landau gauge. These lattice results have been of interest to continuum approaches to QCD over the past 20 years. They are used as reference for Dyson-Schwinger-and functional renormalization group equation calculations as well as for hadronic bound state equations. The lattice provides low-energy data for propagators and three-point vertices in Landau gauge at zero and finite temperature even including dynamical fermions. We summarize Michael Müller-Preußker's important contributions to this field and put them into the perspective of his other research interests.

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Thermal QCD transition with two flavors of twisted mass fermions

Abstract: We investigate the thermal QCD transition with two flavors of maximally twisted mass fermions for a set of pion masses, 300 MeV Show more

Cited by 49 publications

References 65 publications

Phase diagram of dynamical twisted-mass Wilson fermions at finite isospin chemical potential

Phase diagram of dynamical twisted-mass Wilson fermions at finite isospin chemical potential

Chiral phase transition in two-flavor QCD from an imaginary chemical potential

QCD propagators and vertices from lattice QCD (in memory of Michael Müller-Preußker)

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