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

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

2009-09-08

arxiv.org/abs/0909.1489v2

JHEP 0911:005,2009

Physics

High Energy Physics

High Energy Physics - Lattice

19 pages, 4 figures; minor changes, to appear in JHEP

Scientific paper

10.1088/1126-6708/2009/11/005

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.

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