Nonrelativistic noncommutative field theory and UV-IR mixing

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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...

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Detalles Bibliográficos
Autores principales: Gomis, J P, Landsteiner, K, López, E
Lenguaje:eng
Publicado: 2000
Materias:
Particle Physics - Theory
Acceso en línea:http://cds.cern.ch/record/494621
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author Gomis, J P
Landsteiner, K
López, E
author_facet Gomis, J P
Landsteiner, K
López, E
author_sort Gomis, J P
collection CERN
description 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. (31 refs).
id cern-494621
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2000
record_format invenio
spelling cern-4946212019-09-30T06:29:59Zhttp://cds.cern.ch/record/494621engGomis, J PLandsteiner, KLópez, ENonrelativistic noncommutative field theory and UV-IR mixingParticle Physics - TheoryWe 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. (31 refs).oai:cds.cern.ch:4946212000
spellingShingle Particle Physics - Theory
Gomis, J P
Landsteiner, K
López, E
Nonrelativistic noncommutative field theory and UV-IR mixing
title Nonrelativistic noncommutative field theory and UV-IR mixing
title_full Nonrelativistic noncommutative field theory and UV-IR mixing
title_fullStr Nonrelativistic noncommutative field theory and UV-IR mixing
title_full_unstemmed Nonrelativistic noncommutative field theory and UV-IR mixing
title_short Nonrelativistic noncommutative field theory and UV-IR mixing
title_sort nonrelativistic noncommutative field theory and uv-ir mixing
topic Particle Physics - Theory
url http://cds.cern.ch/record/494621
work_keys_str_mv AT gomisjp nonrelativisticnoncommutativefieldtheoryanduvirmixing
AT landsteinerk nonrelativisticnoncommutativefieldtheoryanduvirmixing
AT lopeze nonrelativisticnoncommutativefieldtheoryanduvirmixing

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