Finite Temperature effects on the Induced Chern-Simons term in noncommutative geometry

Details Finite Temperature effects on the Induced Chern-Simons term in noncommutative geometry Finite Temperature effects on the Induced Chern-Simons term in noncommutative geometry

2003-01-07

arxiv.org/abs/hep-th/0301030v4

JHEP 0303 (2003) 015

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, minor corrections and references added (version to appear in JHEP)

Scientific paper

10.1088/1126-6708/2003/03/015

The one-loop contribution to vacuum polarization is calculated for the adjoint fermions in three dimensional noncommutative spaces, both at zero and finite temperature. At zero temperature, we confirm a previously found result for the parity odd part and subsequently analyze the even parity part, which exhibits UV/IR mixing. We discuss in detail, two regimes of the high temperature behavior of the parity odd part. When the thermal wavelength is much smaller, as compared to the noncommutativity scale, we find an interesting Fermi-Bose transmutation in the nonplanar part.

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