Fluctuations of the quark number and of the chiral condensate

M.P. Lombardo; Kim Splittorff; J.J.M. Verbaarschot

doi:10.1103/PhysRevD.81.045012

Fluctuations of the quark number and of the chiral condensate

M.P. Lombardo, Kim Splittorff, J.J.M. Verbaarschot

9 Citations (Scopus)

Abstract

The distributions of the quark number and chiral condensate over the gauge fields are computed for QCD in Euclidean space at nonzero quark chemical potential. As both operators are non-Hermitian the distributions are in the complex plane. Moreover, because of the sign problem, the distributions are not real and positive. The computations are carried out within leading order chiral perturbation theory and give a direct insight into the delicate cancellations that take place in contributions to the total baryon number and the chiral condensate.

Original language	English
Journal	Physical Review D (Particles, Fields, Gravitation and Cosmology)
Volume	81
Issue number	4
Pages (from-to)	045012
Number of pages	15
ISSN	1550-7998
DOIs	https://doi.org/10.1103/PhysRevD.81.045012
Publication status	Published - 16 Feb 2010

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10.1103/PhysRevD.81.045012

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abstract = "The distributions of the quark number and chiral condensate over the gauge fields are computed for QCD in Euclidean space at nonzero quark chemical potential. As both operators are non-Hermitian the distributions are in the complex plane. Moreover, because of the sign problem, the distributions are not real and positive. The computations are carried out within leading order chiral perturbation theory and give a direct insight into the delicate cancellations that take place in contributions to the total baryon number and the chiral condensate.",

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N2 - The distributions of the quark number and chiral condensate over the gauge fields are computed for QCD in Euclidean space at nonzero quark chemical potential. As both operators are non-Hermitian the distributions are in the complex plane. Moreover, because of the sign problem, the distributions are not real and positive. The computations are carried out within leading order chiral perturbation theory and give a direct insight into the delicate cancellations that take place in contributions to the total baryon number and the chiral condensate.

AB - The distributions of the quark number and chiral condensate over the gauge fields are computed for QCD in Euclidean space at nonzero quark chemical potential. As both operators are non-Hermitian the distributions are in the complex plane. Moreover, because of the sign problem, the distributions are not real and positive. The computations are carried out within leading order chiral perturbation theory and give a direct insight into the delicate cancellations that take place in contributions to the total baryon number and the chiral condensate.

U2 - 10.1103/PhysRevD.81.045012

DO - 10.1103/PhysRevD.81.045012

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JO - Physical Review D

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Fluctuations of the quark number and of the chiral condensate

Abstract

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