Curing the UV/IR mixing for field theories with translation-invariant star products

Journal Article · Mon Mar 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.065008· OSTI ID:21431024

Tanasa, Adrian ^[1]; Vitale, Patrizia ^[2]

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1. Centre de Physique Theorique, CNRS UMR 7644, Ecole Polytechnique, 91128 Palaiseau (France)
2. Laboratoire de Physique Theorique, Universite Paris XI, 91405 Orsay Cedex (France)

The ultraviolet/infrared (UV/IR) mixing of noncommutative field theories has been recently shown to be a generic feature of translation-invariant associative products. In this paper we propose to take into account the quantum corrections of the model to modify in this way the noncommutative action. This idea was already used to cure the UV/IR mixing for theories on Moyal space. We show that in the present framework also, this proposal proves successful for curing the mixing. We achieve this task by explicit calculations of one and higher loops Feynman amplitudes. For the sake of completeness, we compute the form of the new action in the matrix base for the Wick-Voros product.

• OSTI ID: 21431024
• Journal Information: Physical Review. D, Particles Fields, Vol. 81, Issue 6; Other Information: DOI: 10.1103/PhysRevD.81.065008; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
COMMUTATION RELATIONS
COMPUTERIZED SIMULATION
CORRECTIONS
CURING
FIELD THEORIES
INFRARED RADIATION
MIXING
SPACE
STARS
ULTRAVIOLET RADIATION
ELECTROMAGNETIC RADIATION
RADIATIONS
SIMULATION