Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-10-07
JHEP 0902:031,2009
Physics
High Energy Physics
High Energy Physics - Theory
32 pages; v2: Typos corrected; v3: Further typos corrected - Final version to appear in JHEP
Scientific paper
10.1088/1126-6708/2009/02/031
We prove that a scalar quantum field theory defined on noncommutative Minkowski spacetime with noncommuting momentum coordinates is covariant with respect to the UV/IR duality which exchanges coordinates and momenta. The proof is based on suitable resonance expansions of charged noncommutative scalar fields in a background electric field, which yields an effective description of the field theory in terms of a coupled complex two-matrix model. The two independent matrix degrees of freedom ensure unitarity and manifest CT-invariance of the field theory. The formalism describes an analytic continuation of the renormalizable Grosse-Wulkenhaar models to Minkowski signature.
Fischer Andre
Szabo Richard J.
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