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Induced fermionic charge in background gauge theories in odd space-time dimensions

Journal Article · · Phys. Rev. D; (United States)

We have shown by using gauge- and parity-invariant regularization schemes such as dimensional and higher-covariant-derivative methods that the induced fermionic charge in a U(1) gauge theory in odd space-time dimensions is zero when the fermion mass is strictly equal to zero and recedes towards the boundary when one starts with a nonzero fermion mass and allows it to approach zero. In the latter case the induced charge is exactly the Chern-Simons index.

Research Organization:
Saha Institute of Nuclear Physics, 92, Acharya Prafulla Chandra Road, Calcutta 700 009, India
OSTI ID:
5273902
Journal Information:
Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 37:6; ISSN PRVDA
Country of Publication:
United States
Language:
English

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