Gomis Torné, JoaquimLandsteiner, KarlLópez, Esperanza2010-05-062010-05-0620000556-2821https://hdl.handle.net/2445/12436We study a non-commutative non-relativistic scalar field theory in 211 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 d 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.6 p.application/pdfeng(c) The American Physical Society, 2000Teoria de camps (Física)Partícules (Física nuclear)Field theory (Physics)Particles (Nuclear physics)info:eu-repo/semantics/article169348info:eu-repo/semantics/openAccess