Quark Condensate in a Weak Magnetic Field

Abstract

The low-temperature representation for the quark condensate in a weak magnetic field H is known up to two-loop order. Remarkably, at one-loop order, the published series for the quark condensate in the chiral limit and H T2 are inconsistent. Using an alternative representation for the kinematical Bose functions, we derive the series to arbitrary order in H/T2, and also determine which of the published results is correct.

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