QCD With A Chemical Potential, Topology, And The 't Hooft 1/N Expansion

Details QCD With A Chemical Potential, Topology, And The 't Hooft 1/N Expansion QCD With A Chemical Potential, Topology, And The 't Hooft 1/N Expansion

2012-04-11

arxiv.org/abs/1204.2405v1

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, LaTex

Scientific paper

We discuss the dependence of observables on the chemical potential in 't Hooft's large-N QCD. To this end we use the worldline formalism to expand the fermionic determinant in powers of 1/N. We consider the hadronic as well as the deconfining phase of the theory. We discuss the origin of the sign problem in the worldline approach and elaborate on the planar equivalence between QCD with a baryon chemical potential and QCD with an isospin chemical potential. We show that for C-even observables the sign problem occurs at a subleading order in the 1/N expansion of the fermionic determinant. Finally, we comment on the finite N theory.

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