Wednesday, July 11, 2012

1207.2358 (Amilcar R. de Queiroz et al.)

Renormalization of Noncommutative Quantum Field Theories    [PDF]

Amilcar R. de Queiroz, Rahul Srivastava, Sachindeo Vaidya
We report on a comprehensive analysis of the renormalization of noncommutative \phi^4 scalar field theories on the Groenewold-Moyal (GM) plane. These scalar field theories are twisted Poincar\'e invariant. Our main results are that these scalar field theories are renormalizable, free of UV/IR mixing, possess the same fixed points and \beta-functions for the couplings as their commutative counterparts. We also argue that similar results hold true for any generic noncommutative field theory involving only pure matter fields. A secondary aim of this work is to provide a comprehensive review of different approaches for the computation of the noncommutative S-matrix: noncommutative interaction picture and noncommutative LSZ formalism.
View original:

No comments:

Post a Comment