Topological aspects of a fermion, chiral anomaly, and Berry phase

The relationship of the Berry phase with the topological aspects of a fermion and chiral anomaly is studied here. It is observed that this phase reflects the effect of quantum geometry when the quantization procedure of a Fermi field is considered from a classical system and may be considered as the...

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Bibliographic Details
Published in:Journal of mathematical physics 1992-03, Vol.33 (3), p.990-997
Main Authors: Banerjee, Dipti, Bandyopadhyay, Pratul
Format: Article
Language:English
Subjects:
Classical and quantum physics: mechanics and fields
Exact sciences and technology
Physics
Theory of quantized fields
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Summary:The relationship of the Berry phase with the topological aspects of a fermion and chiral anomaly is studied here. It is observed that this phase reflects the effect of quantum geometry when the quantization procedure of a Fermi field is considered from a classical system and may be considered as the manifestation of the multiply connected nature of quantum space‐time.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.529752