Fermion doubling on a lattice and topological aspects of chiral anomaly

Journal Article · Mon Sep 01 04:00:00 EDT 1997 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.532136· OSTI ID:538440

Goswami, G ^[1]; Bandyopadhyay, P ^[2]

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1. Jhargram Raj College, Jhargram, Midnapure, W.B. (India)
2. Indian Statistical Institute, Calcutta-7000 35 (India)

The problem of fermion doubling on a lattice has been discussed here from the specific geometrical properties of a lattice structure and topological aspects of chiral anomaly. It is argued that there cannot be chiral anomaly on a lattice and as such there cannot be any conserved charge. This unveils the root cause of fermion doubling, and the unwanted fermions just reflect the geometrical properties of a lattice and may be viewed as to represent the {open_quotes}fictitious{close_quotes} chiral spinors associated with the lattice structure which make chiral fermions anomaly free. {copyright} {ital 1997 American Institute of Physics.}

• OSTI ID: 538440
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 9 Vol. 38; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CHIRAL SYMMETRY
FERMIONS
LATTICE FIELD THEORY
SPINORS
TOPOLOGY