English

A consistent quantum field theory from dimensional reduction

High Energy Physics - Theory 2023-04-19 v2

Abstract

We incorporate the concept of dimensional reduction at high energies within the perturbative formulation of quantum field theory. 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 quantum field theory. 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 region, making the models ultra-violet complete.

Keywords

Cite

@article{arxiv.2212.00670,
  title  = {A consistent quantum field theory from dimensional reduction},
  author = {Alessio Maiezza and Juan Carlos Vasquez},
  journal= {arXiv preprint arXiv:2212.00670},
  year   = {2023}
}

Comments

to appear in J. Phys. A Math. Theor

R2 v1 2026-06-28T07:19:39.440Z