Field theory on noncommutative spacetimes: Quasiplanar Wick products

Field theory on noncommutative spacetimes: Quasiplanar Wick products

We give a definition of admissible counterterms appropriate for massive quantum field theories on the noncommutative Minkowski space, based on a suitable notion of locality. We then define products of fields of arbitrary order, the so-called quasiplanar Wick products, by subtracting only such admiss...

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Veröffentlicht in:Physical review. D, Particles and fields Particles and fields, 2005-01, Vol.71 (2), Article 025022
Hauptverfasser: Bahns, D., Doplicher, S., Fredenhagen, K., Piacitelli, G.
Format: Artikel
Sprache:eng
Schlagworte:
COMMUTATION RELATIONS
LOCALITY
MINKOWSKI SPACE
PERTURBATION THEORY
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM FIELD THEORY
SPACE-TIME
WICK THEOREM
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container_title Physical review. D, Particles and fields
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creator Bahns, D.
Doplicher, S.
Fredenhagen, K.
Piacitelli, G.
description We give a definition of admissible counterterms appropriate for massive quantum field theories on the noncommutative Minkowski space, based on a suitable notion of locality. We then define products of fields of arbitrary order, the so-called quasiplanar Wick products, by subtracting only such admissible counterterms. We derive the analogue of Wick's theorem and comment on the consequences of using quasiplanar Wick products in the perturbative expansion.
doi_str_mv 10.1103/PhysRevD.71.025022
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source American Physical Society Journals
subjects COMMUTATION RELATIONS
LOCALITY
MINKOWSKI SPACE
PERTURBATION THEORY
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM FIELD THEORY
SPACE-TIME
WICK THEOREM
title Field theory on noncommutative spacetimes: Quasiplanar Wick products
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