Renormalization of the commutative scalar theory with harmonic term to all orders

Marcillaud de Goursac, Axel
(2013) Annales Henri Poincare — Vol. 14, p. 2025-2043 (2013)

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  • Marcillaud de Goursac, AxelUCLouvain
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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 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.
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Marcillaud de Goursac, A. (2013). Renormalization of the commutative scalar theory with harmonic term to all orders. Annales Henri Poincare, 14, 2025-2043. https://doi.org/10.1007/s00023-012-0226-4 (Original work published 2013)