A consistent quantum field theory from dimensional reduction. (28th April 2023)

• Record Type: Journal Article
• Authors: Maiezza, Alessio; Carlos Vasquez, Juan
• Is Part Of: Journal of physics. Volume 56:Number 17(2023)
• Publication Date: 2023-04-28
• Subjects: quantum field theory -- asymptotics -- dimensional reduction; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8121/acc61f
• Languages: English
• ISSNs: 1751-8113

Abstract

Abstract: We incorporate the concept of dimensional reduction at high energies within the perturbative formulation of quantum field theory (QFT). In this new framework, space and momentum integrations are modified by a weighting function incorporating an effective mass energy associated with the dimensional reduction scale. We quantize the theory within canonical formalism. We then show that it can be made finite in perturbation theory, free of renormalon ambiguities, and with better analytic behavior for infinitesimal coupling constant compared to standard QFT. The new approach reproduces the known results at low energies. One key feature of this class of models is that the coupling constant always reaches a fixed point in the ultraviolet (UV) region, making the models UV complete.