On curing the divergences in the quark number susceptibility

preprint2014arXivOpen access

Abstract

Adding chemical potential μμ linearly as μNμN to the lattice QCD action, where NN is a conserved quark/baryon number, leads to a quadratic divergence as a−2a^{-2}. We argue that it is inherited from the continuum theory and can be subtracted off on the lattice following a similar manner in the continuum. We test this idea for quenched quark number susceptibilities and demonstrate a finite continuum limit numerically.

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