Berry phase in generalized chiral $QED_2$

Details Berry phase in generalized chiral $QED_2$ Berry phase in generalized chiral $QED_2$

1996-09-13

arxiv.org/abs/hep-th/9609110v1

J.Phys.A30:2219-2234,1997

Physics

High Energy Physics

High Energy Physics - Theory

LATEX file, 17 pages; extended version of a talk given at Int. Colloquium on Group-Theoretical Methods in Physics, 15-20 July,

Scientific paper

10.1088/0305-4470/30/6/040

We consider the generalized chiral $QED_2$ on $S^1$ with a $U(1)$ gauge field coupled with different charges to both chiral components of a fermionic field. Using the adiabatic approximation we calculate the Berry phase and the corresponding ${\rm U}(1)$ connection and curvature for the vacuum and many particle Fock states. We show that the nonvanishing vacuum Berry phase is associated with a projective representation of the local gauge symmetry group and contributes to the effective action of the model.

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