Non-Relativistic Non-Commutative 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:https://dx.doi.org/10.1103/PhysRevD.62.105006
http://cds.cern.ch/record/434977
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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.
id cern-434977
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2000
record_format invenio
spelling cern-4349772019-09-30T06:29:59Zdoi:10.1103/PhysRevD.62.105006http://cds.cern.ch/record/434977engGomis, J PLandsteiner, KLópez, ENon-Relativistic Non-Commutative 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.hep-th/0004115UB-ECM-PF-2000-05CERN-TH-2000-117oai:cds.cern.ch:4349772000-04-15
spellingShingle Particle Physics - Theory
Gomis, J P
Landsteiner, K
López, E
Non-Relativistic Non-Commutative Field Theory and UV/IR Mixing
title Non-Relativistic Non-Commutative Field Theory and UV/IR Mixing
title_full Non-Relativistic Non-Commutative Field Theory and UV/IR Mixing
title_fullStr Non-Relativistic Non-Commutative Field Theory and UV/IR Mixing
title_full_unstemmed Non-Relativistic Non-Commutative Field Theory and UV/IR Mixing
title_short Non-Relativistic Non-Commutative Field Theory and UV/IR Mixing
title_sort non-relativistic non-commutative field theory and uv/ir mixing
topic Particle Physics - Theory
url https://dx.doi.org/10.1103/PhysRevD.62.105006
http://cds.cern.ch/record/434977
work_keys_str_mv AT gomisjp nonrelativisticnoncommutativefieldtheoryanduvirmixing
AT landsteinerk nonrelativisticnoncommutativefieldtheoryanduvirmixing
AT lopeze nonrelativisticnoncommutativefieldtheoryanduvirmixing

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