The epsilon expansion at next-to-next-to-leading order with small imaginary chemical potential

Details The epsilon expansion at next-to-next-to-leading order with small imaginary chemical potential The epsilon expansion at next-to-next-to-leading order with small imaginary chemical potential

2010-04-30

arxiv.org/abs/1004.5584v1

JHEP06(2010)028

Physics

High Energy Physics

High Energy Physics - Lattice

21 pages, 5 figures

Scientific paper

10.1007/JHEP06(2010)028

We discuss chiral perturbation theory for two and three quark flavors in the epsilon expansion at next-to-next-to-leading order (NNLO) including a small imaginary chemical potential. We calculate finite-volume corrections to the low-energy constants $\Sigma$ and $F$ and determine the non-universal modifications of the theory, i.e., modifications that cannot be mapped to random matrix theory (RMT). In the special case of two quark flavors in an asymmetric box we discuss how to minimize the finite-volume corrections and non-universal modifications by an optimal choice of the lattice geometry. Furthermore we provide a detailed calculation of a special version of the massless sunset diagram at finite volume.

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