9 research outputs found
UV/IR duality in noncommutative quantum field theory
We review the construction of renormalizable noncommutative euclidean
phi(4)-theories based on the UV/IR duality covariant modification of the
standard field theory, and how the formalism can be extended to scalar field
theories defined on noncommutative Minkowski space.Comment: 12 pages; v2: minor corrections, note and references added;
Contribution to proceedings of the 2nd School on "Quantum Gravity and Quantum
Geometry" session of the 9th Hellenic School on Elementary Particle Physics
and Gravity, Corfu, Greece, September 13-20 2009. To be published in General
Relativity and Gravitatio
Duality covariant quantum field theory on noncommutative Minkowski space
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.Comment: 32 pages; v2: Typos corrected; v3: Further typos corrected - Final
version to appear in JHE