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arXiv · hep-th/0004115

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

Joaquim Gomis·Karl Landsteiner·Esperanza Lopez
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Abstract

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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Joaquim Gomis, Karl Landsteiner, Esperanza Lopez. 2000-08-15. Non-Relativistic Non-Commutative Field Theory and UV/IR Mixing. https://doi.org/10.1103/physrevd.62.105006

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