Non-Relativistic Non-Commutative Field Theory and UV/IR Mixing

Details Non-Relativistic Non-Commutative Field Theory and UV/IR Mixing Non-Relativistic Non-Commutative Field Theory and UV/IR Mixing

2000-04-15

arxiv.org/abs/hep-th/0004115v2

Phys.Rev. D62 (2000) 105006

Physics

High Energy Physics

High Energy Physics - Theory

LaTex2e, 12 pages, 2 figures; v2: refs corrected and updated, minor changes

Scientific paper

10.1103/PhysRevD.62.105006

We study a non-commutative non-relativistic scalar field theory in 2+1 dimensions. The theory shows the UV/IR mixing typical of QFT on non-commutative spaces. The one-loop correction to the two-point function turns out to be given by a delta-function in momentum space. The one-loop correction to the four-point function is of logarithmic type. We also evaluate the thermodynamic potential at two-loop order. To avoid an IR-singularity we have to introduce a chemical potential. The suppression of the non-planar contribution with respect to the planar one turns out to depend crucially on the value of the chemical potential.

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