High energy improved scalar quantum field theory from noncommutative geometry without UV/IR-mixing |
| |
Authors: | Alexander Schenkel Christoph F. Uhlemann |
| |
Affiliation: | Institut für Theoretische Physik und Astrophysik, Universität Würzburg, Am Hubland, 97074 Würzburg, Germany |
| |
Abstract: | We consider an interacting scalar quantum field theory on noncommutative Euclidean space. We implement a family of noncommutative deformations, which – in contrast to the well known Moyal–Weyl deformation – lead to a theory with modified kinetic term, while all local potentials are unaffected by the deformation. We show that our models, in particular, include propagators with anisotropic scaling z=2 in the ultraviolet (UV). For a Φ4-theory on our noncommutative space we obtain an improved UV behaviour at the one-loop level and the absence of UV/IR-mixing and of the Landau pole. |
| |
Keywords: | Noncommutative geometry Star-products Quantum field theory |
本文献已被 ScienceDirect 等数据库收录! |