PIRSA:08050027

Renormalization in Noncommutative Quantum Field Theory

Gurau, R. (2008). Renormalization in Noncommutative Quantum Field Theory. Perimeter Institute. https://pirsa.org/08050027

Gurau, Razvan. Renormalization in Noncommutative Quantum Field Theory. Perimeter Institute, May. 08, 2008, https://pirsa.org/08050027 

          @misc{ pirsa_PIRSA:08050027,
            doi = {10.48660/08050027},
            url = {https://pirsa.org/08050027},
            author = {Gurau, Razvan},
            keywords = {Quantum Gravity, Particle Physics},
            language = {en},
            title = {Renormalization in Noncommutative Quantum Field Theory},
            publisher = {Perimeter Institute},
            year = {2008},
            month = {may},
            note = {PIRSA:08050027 see, \url{https://pirsa.org}}
          }

Razvan Gurau Universität Heidelberg

DOI 10.48660/08050027
Collection
Talk Type Scientific Series
Subject

Abstract

This talk presents some recent results in renormalizable noncommutative quantum field theory. After introducing the renormalization group approach in the commutative setting I will procede to its generalization to the simplest noncommutative model, $phi_4^{star 4}$ on the Moyal space. The well known phenomenon of ultraviolet/infrared mixing is cured by adding a harmonic potential term to the free action. Under the new renormalization group, adapted to the noncommutative geometry, this model turns out to be renormalizable to all orders in perturbation theory. Moreover it is {f asymptotically safe} at all orders in perturbation theory. The consequences of this results are discussed.