Berry phase in generalized chiral

DOI10.1088/0305-4470/30/6/040zbMATH Open0939.81005arXivhep-th/9609110OpenAlexW3101932581MaRDI QIDQ4248477

Fuad M. Saradzhev

Publication date: 3 July 2000

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Abstract: We consider the generalized chiral $QE{D}_2$ 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 $mU(1)$ 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.

Full work available at URL: https://arxiv.org/abs/hep-th/9609110

zbMATH Keywords

curvatureBerry phaseFock statesgauge symmetry groupU(1) connection

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Yang-Mills and other gauge theories in quantum field theory (81T13) Electromagnetic interaction; quantum electrodynamics (81V10) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Related Items (3)

Berry phase in the gravitational quantum well and the Seiberg-Witten map ⋮ Berry phases for Landau Hamiltonians on deformed tori ⋮ Vacuum induced spin-\(1/2\) Berry's phase

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