The chemical potential in the transfer matrix and in the path integral formulation of QCD on a lattice

Abstract

We define the chemical potential as the Lagrange multiplier of the baryon charge operator in the transfer matrix formalism of QCD on a lattice. Transforming the partition function into an euclidean path integral we get the Hasenfratz-Karsh action both for Wilson and Kogut-Susskind fermions. In the latter case the chemical potential in the spin-diagonal basis is half that in the flavour basis. Some open problems in the spin-diagonal basis are pointed out.

16 pages

Cited by in corpus (3)

• Quarks and Triality in a Finite Volume
• Transfer matrix for Kogut-Susskind fermions in the spin basis
• Different definitions of the chemical potential with identical partition function in QCD on a lattice