Renormalization of the commutative scalar theory with harmonic term to all orders
High Energy Physics - Theory
2015-01-12 v1 Mathematical Physics
math.MP
Abstract
The noncommutative scalar theory with harmonic term (on the Moyal space) has a vanishing beta function. In this paper, we prove the renormalizability of the commutative scalar field theory with harmonic term to all orders by using multiscale analysis in the momentum space. Then, we consider and compute its one-loop beta function, as well as the one on the degenerate Moyal space. We can finally compare both to the vanishing beta function of the theory with harmonic term on the Moyal space.
Keywords
Cite
@article{arxiv.1207.6208,
title = {Renormalization of the commutative scalar theory with harmonic term to all orders},
author = {Axel de Goursac},
journal= {arXiv preprint arXiv:1207.6208},
year = {2015}
}
Comments
16 pages