Holographic Roberge-Weiss transitions

Aarts, Gert; Kumar, S. Prem; Rafferty, James

doi:10.1007/jhep07(2010)056

Cited by 33 publications

(31 citation statements)

References 56 publications

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“…Results have first been obtained within a staggered fermion formulation of QCD, but efforts have been undertaken to confirm their universality also within a Wilson fermion approach [35,[37][38][39] leading to the same qualitative phase diagram [35]. The Roberge-Weiss endpoint transition, or variants of it, also has been studied in many other different contexts and QCD-like theories [40][41][42][43][44][45][46][47][48][49][50][51].…”

Section: Phase Diagram For Imaginary Chemical Potentialmentioning

confidence: 99%

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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Section: Phase Diagram For Imaginary Chemical Potentialmentioning

confidence: 99%

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

et al. 2014

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“…ii) Early studies have shown that the RW endpoint transition is first order for small quark masses, second order for intermediate masses, and again first order for large masses; the three regions are separated by two tricritical points [13][14][15]. The emergence of this interesting structure has induced many further studies in effective models [28][29][30][31][32][33][34][35][36][37][38][39][40] which try to reproduce the essential features of QCD. Moreover, interesting proposals have been made on the connection of this phase structure with that present at µ B = 0 (the so-called Columbia plot) and on the possibility to exploit the whole phase structure at imaginary chemical potential in order to clarify currently open issues on the phase structure at µ B = 0, like the order of the chiral transition for N f = 2 [21,24].…”

Section: Introductionmentioning

confidence: 99%

Roberge-Weiss endpoint at the physical point ofNf=2+1QCD

Bonati¹,

D’Elia²,

Mariti³

et al. 2016

Phys. Rev. D

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We study the phase diagram of N f = 2 + 1 QCD in the T − µB plane and investigate the critical point corresponding to the onset of the Roberge-Weiss transition, which is found for imaginary values of µB. We make use of stout improved staggered fermions and of the tree level Symanzik gauge action, and explore four different sets of lattice spacings, corresponding to Nt = 4, 6, 8, 10, and different spatial sizes, in order to assess the universality class of the critical point. The continuum extrapolated value of the endpoint temperature is found to be TRW = 208(5) MeV, i.e. TRW/Tc ∼ 1.34 (7), where Tc is the chiral pseudocritical temperature at zero chemical potential, while our finite size scaling analysis, performed on Nt = 4 and Nt = 6 lattices, provides evidence for a critical point in the 3d Ising universality class.

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“…In this case, the standard definition of electric and magnetic screening masses could be maintained; however, it is well known that for such special values of θ charge conjugation undergoes a spontaneous breaking above some critical temperature [55], which is usually known as the Roberge-Weiss transition temperature T RW and has been investigated in many lattice [56][57][58][59][60][61][62][63][64][65][66][67] and model [68][69][70][71][72][73][74][75][76][77][78][79] studies. For T > T RW , the spontaneous breaking induces a mixed electric-magnetic correlator, so one needs to extend the definition of the gauge-invariant screening masses as discussed above.…”

Section: Observables and Numerical Methodsmentioning

confidence: 99%

Gauge-invariant screening masses and static quark free energies in Nf=2+1 QCD at nonzero baryon density

et al. 2018

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We discuss the extension of gauge-invariant electric and magnetic screening masses in the quark-gluon plasma to the case of a finite baryon density, defining them in terms of a matrix of Polyakov loop correlators. We present lattice results for N f ¼ 2 þ 1 QCD with physical quark masses, obtained using the imaginary chemical potential approach, which indicate that the screening masses increase as a function of μ B . A separate analysis is carried out for the theoretically interesting case μ B =T ¼ 3iπ, where charge conjugation is not explicitly broken and the usual definition of the screening masses can be used for temperatures below the Roberge-Weiss transition. Finally, we investigate the dependence of the static quark free energy on the baryon chemical potential, showing that it is a decreasing function of μ B , which displays a peculiar behavior as the pseudocritical transition temperature at μ B ¼ 0 is approached.

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Holographic Roberge-Weiss transitions

Cited by 33 publications

References 56 publications

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

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

Roberge-Weiss endpoint at the physical point ofNf=2+1QCD

Gauge-invariant screening masses and static quark free energies in Nf=2+1 QCD at nonzero baryon density

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