Roberge-Weiss periodicity, canonical sector, and modified Polyakov loop

Kashiwa, Kouji; Kouno, Hiroaki

doi:10.1103/physrevd.100.094023

Cited by 5 publications

(2 citation statements)

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“…The RW periodicity is clearly seen in these figures. Note that the imaginary parts of n q and Q x are the indicators of the RW-transition [46][47][48][49]. Here the RW pe- riodicity is smooth and this property is not changed by varying M/T since the point Re(µ) = M is the fixed point.…”

Section: Effects Of Imaginary Quark Chemical Potentialmentioning

confidence: 99%

“…Hence, we use the modified Polyakov line Q x = e iθ P x instead of P x itself. Note that Q x has the Roberge-Weiss (RW) periodicity, namely, Q x (θ + 2 3 π) = Q x (θ) , but P x does not [46][47][48][49]. Figures 21 and 22 show the complex chemical potential dependence of Re( Q x ) and Im( Q x ) in EPLM with M/T = 100.…”

Section: Effects Of Imaginary Quark Chemical Potentialmentioning

confidence: 99%

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Nonanalyticity, sign problem and Polyakov line in Z3-symmetric heavy quark model at low temperature: Phenomenological model analyses

Kouno,

Kashiwa,

Hirakida

2021

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The nonanalyticity and the sign problem in the Z3-symmetric heavy quark model at low temperature are studied phenomenologically. For the free heavy quarks, the nonanalyticity is analyzed in the relation to the zeros of the grand canonical partition function. The Z3-symmetric effective Polyakov-line model (EPLM) in strong coupling limit is also considered as an phenomenological model of Z3-symmetric QCD with large quark mass at low temperature. We examine how the Z3-symmetric EPLM approaches to the original one in the zerotemperature limit. The effects of the Z3-symmetry affect the structure of zeros of the microscopic probability density function at the nonanalytic point. The average value of the Polyakov line can detect the structure, while the other thermodynamic quantities are not sensible to the structure in the zero-temperature limit. The effect of the imaginary quark chemical potential is also discussed. The imaginary part of the quark number density is very sensitive to the symmetry structure at the nonanalytical point. For a particular value of the imaginary quark number chemical potential, large quark number may be induced in the vicinity of the nonanalytical point.

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Section: Effects Of Imaginary Quark Chemical Potentialmentioning

confidence: 99%