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Journal articles
On the renormalization of non-commutative field theories
Abstract : This paper addresses three topics concerning the quantization of non-commutative field theories (as defined in terms of the Moyal star product involving a constant tensor describing the non-commutativity of coordinates in Euclidean space). To start with, we discuss the Quantum Action Principle and provide evidence for its validity for non-commutative quantum field theories by showing that the equation of motion considered as insertion in the generating functional Z c [j] of connected Green functions makes sense (at least at one-loop level). Second, we consider the generalization of the BPHZ renormalization scheme to non-commutative field theories and apply it to the case of a self-interacting real scalar field: Explicit computations are performed at one-loop order and the generalization to higher loops is commented upon. Finally, we discuss the renormalizability of various models for a self-interacting complex scalar field by using the approach of algebraic renormalization.
http://hal.in2p3.fr/in2p3-00840087
Contributor : Dominique Girod Connect in order to contact the contributor
Submitted on : Monday, July 1, 2013 - 2:59:42 PM
Last modification on : Friday, September 10, 2021 - 1:50:07 PM
Contributor : Dominique Girod Connect in order to contact the contributor
Submitted on : Monday, July 1, 2013 - 2:59:42 PM
Last modification on : Friday, September 10, 2021 - 1:50:07 PM
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