The interplay between mass, volume, θ, and <\psibarψ> in N-flavor QED_2

Details The interplay between mass, volume, θ, and <\psibarψ> in N-flavor QED_2 The interplay between mass, volume, θ, and <\psibarψ> in N-flavor QED_2

1995-10-13

arxiv.org/abs/hep-th/9510090v1

Phys.Rev. D53 (1996) 7255-7259

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX + 5 figures (4 PS + 1 eepic); uses RevTeX, epsf, eepic

Scientific paper

10.1103/PhysRevD.53.7255

The Schwinger model (QED_2) with N flavors of massive fermions on a circle of circumference L, or equivalently at finite temperature T, is reduced to a quantum mechanical system of N-1 degrees of freedom. With degenerate fermion masses (m) the chiral condensate develops a cusp singularity at $\theta=\pm \pi$ in the limit L -> $\infty$ or T -> 0, which is removed by a large asymmetry in the fermion masses. Physical quantities sensitively depend on the parameter mL or m/T, and the m -> 0 and L -> $\infty$ (or T -> 0) limits do not commute. A detailed analysis is given for N=3.

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