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Finite temperature effects on the induced Chern-Simons term in noncommutative geometry
Author(s) -
Chandrasekhar Bhamidipati,
Prasanta K. Panigrahi
Publication year - 2003
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2003/03/015
Subject(s) - noncommutative geometry , physics , chern–simons theory , fermion , zero temperature , parity (physics) , fermi gamma ray space telescope , mathematical physics , quantum electrodynamics , quantum mechanics , condensed matter physics , gauge theory
The one-loop contribution to vacuum polarization is calculated for theadjoint fermions in three dimensional noncommutative spaces, both at zero andfinite temperature. At zero temperature, we confirm a previously found resultfor the parity odd part and subsequently analyze the even parity part, whichexhibits UV/IR mixing. We discuss in detail, two regimes of the hightemperature behavior of the parity odd part. When the thermal wavelength ismuch smaller, as compared to the noncommutativity scale, we find an interestingFermi-Bose transmutation in the nonplanar part.Comment: 15 pages, minor corrections and references added (version to appear in JHEP

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