Multiflavor Correlation Functions in non-Abelian Gauge Theories at Finite Density in two dimensions

Abstract

We compute vacuum expectation values of products of fermion bilinears for two-dimensional Quantum Chromodynamics at finite flavored fermion densities. We introduce the chemical potential as an external charge distribution within the path-integral approach and carefully analyse the contribution of different topological sectors to fermion correlators. We show the existence of chiral condensates exhibiting an oscillatory inhomogeneous behavior as a function of a chemical potential matrix. This result is exact and goes in the same direction as the behavior found in QCD_4 within the large N approximation.

28 pages Latex (3 pages added and other minor changes) to appear in Phys.Rev. D

References in corpus (4)

• Screening vs. Confinement in 1+1 Dimensions
• Two-Dimensional Instantons with Bosonization and Physics of Adjoint $QC{D}_2$
• General Correlation Functions in the Schwinger Model at Zero and Finite Temperature
• Fermion Condensates of massless $QE{D}_2$ at Finite Density in non-trivial Topological Sectors

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• BF models, Duality and Bosonization on higher genus surfaces