Partially quenched chiral perturbation theory in the epsilon regime at next-to-leading order

Lehner, Christoph and Wettig, Tilo (2009) Partially quenched chiral perturbation theory in the epsilon regime at next-to-leading order. JOURNAL OF HIGH ENERGY PHYSICS (11): 005. ISSN 1029-8479,

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Abstract

We calculate the partition function of partially quenched chiral perturbation theory in the epsilon regime at next-to-leading order using the supersymmetry method in the formulation without a singlet particle. We include a nonzero imaginary chemical potential and show that the finite-volume corrections to the low-energy constants Sigma and F for the partially quenched partition function, and hence for spectral correlation functions of the Dirac operator, are the same as for the unquenched partition function. We briefly comment on how to minimize these corrections in lattice simulations of QCD. As a side result, we show that the zero-momentum integral in the formulation without a singlet particle agrees with previous results from random matrix theory.

Item Type: Article
Uncontrolled Keywords: RANDOM-MATRIX THEORY; DIRAC OPERATOR; GAUGE-THEORIES; QCD; SYMMETRY; INTEGRALS; RULES; Lattice QCD; Chiral Lagrangians; QCD
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Braun > Group Tilo Wettig
Depositing User: Dr. Gernot Deinzer
Date Deposited: 02 Sep 2020 10:00
Last Modified: 02 Sep 2020 10:00
URI: https://pred.uni-regensburg.de/id/eprint/28209

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