Imaginary chemical potentials and the phase of the fermionic determinant

Conradi, Simone; D’Elia, Massimo

doi:10.1103/physrevd.76.074501

Cited by 35 publications

(31 citation statements)

References 39 publications

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“…From such values we can try to determine the tricritical masses as the points where B and Á vanish, fitting data to the expected behaviors shown in Eqs. (10) and (11). In Fig.…”

Section: Numerical Resultsmentioning

confidence: 96%

“…Instead, from Á 2 =4, we get am t1 ¼ 0:0477ð23Þ if we fix h ¼ m in Eq. (11), however in this case one should take into account also the systematic uncertainty related to a possible multiplicative redefinition, h ¼ A h m. In order to further check that our results for B and Á 2 =4 can indeed be described in terms of a common tricritical mass, we have also performed a combined fit to all data obtained in the low mass region according to…”

Section: Numerical Resultsmentioning

confidence: 99%

“…to determine the cumulant of the plaquette B and the gap of the order parameter Á 2 for values of m where a first order transition is present, and then to determine m tric by fitting data with the expected behaviors reported in Eqs. (10) and (11).…”

Section: Numerical Setupmentioning

confidence: 99%

“…Among other approximate methods, a way to partially overcome the sign problem is to consider a purely imaginary quark chemical potential, q B =3 ¼ i I : numerical simulations are feasible and information about real B can be recovered by analytic continuation techniques [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

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Roberge-Weiss endpoint inNf=2QCD

et al. 2011

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We present the results of extensive simulations regarding the critical behavior at the endpoint of the Roberge-Weiss transition for N f ¼ 2 QCD. We confirm early evidence, presented in Ref. [M. D'Elia and F. Sanfilippo, Phys. Rev. D 80, 111501(R) (2009).], according to which the Roberge-Weiss endpoint is first order in the limit of large or small quark masses, and second order for intermediate masses. A systematic study of the transition strength as a function of the quark mass in the first order regions, permits us to estimate the tricritical values of the quark mass separating the second order region from the first order ones.

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“…From such values we can try to determine the tricritical masses as the points where B and Á vanish, fitting data to the expected behaviors shown in Eqs. (10) and (11). In Fig.…”

Section: Numerical Resultsmentioning

confidence: 96%

Section: Numerical Resultsmentioning

confidence: 99%

Section: Numerical Setupmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Roberge-Weiss endpoint inNf=2QCD

et al. 2011

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“…The weight factors can also be approximated by a Taylor expansion in µ [15][16][17][18][19]. Further possibilities are an analytic continuation from imaginary µ [20][21][22][23][24][25][26][27], or using the canonical ensemble [28][29][30]. The above studies were carried out on coarse lattices and in most cases with non-physical quark masses.…”

Section: Introductionmentioning

confidence: 99%

The QCD phase diagram at nonzero quark density

Endrődi

Fodor

Katz

et al. 2011

J. High Energ. Phys.

259

276

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Abstract:We determine the phase diagram of QCD on the µ − T plane for small to moderate chemical potentials. Two transition lines are defined with two quantities, the chiral condensate and the strange quark number susceptibility. The calculations are carried out on N t = 6, 8 and 10 lattices generated with a Symanzik improved gauge and stout-link improved 2+1 flavor staggered fermion action using physical quark masses. After carrying out the continuum extrapolation we find that both quantities result in a similar curvature of the transition line. Furthermore, our results indicate that in leading order the width of the transition region remains essentially the same as the chemical potential is increased.

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Anomaly matching in QCD thermal phase transition

Yonekura

2019

J. High Energ. Phys.

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We study an 't Hooft anomaly of massless QCD at finite temperature. With the imaginary baryon chemical potential at the Roberge-Weiss point, there is a Z 2 symmetry which can be used to define confinement. We show the existence of a mixed anomaly between the Z 2 symmetry and the chiral symmetry, which gives a strong relation between confinement and chiral symmetry breaking. The anomaly is a parity anomaly in the QCD Lagrangian reduced to three dimensions. It is reproduced in the chiral Lagrangian by a topological term related to Skyrmion charge, matching the anomaly before and after QCD phase transition. The effect of the imaginary chemical potential is suppresssed in the large N expansion, and we discuss implications of the 't Hooft anomaly matching for the nature of QCD phase transition with and without the imaginary chemical potential. Arguments based on universality alone are disfavored, and a first order phase transition may be the simplest possibility if the large N expansion is qualitatively good.

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Imaginary chemical potentials and the phase of the fermionic determinant

Cited by 35 publications

References 39 publications

Roberge-Weiss endpoint inNf=2QCD

Roberge-Weiss endpoint inNf=2QCD

The QCD phase diagram at nonzero quark density

Anomaly matching in QCD thermal phase transition

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