Please use this identifier to cite or link to this item: http://www.repositorio.ufop.br/handle/123456789/12803
Title: Implicit regularization beyond one-loop order : scalar field theories.
Authors: Pontes, Carlos Renato
Scarpelli, Antônio Paulo Baêta
Sampaio, Marcos Donizeti Rodrigues
Nemes, Maria Carolina
Issue Date: 2007
Citation: PONTES, C. R. et al. Implicit regularization beyond one-loop order: scalar field theories. Journal of Physics G: Nuclear and Particle Physics, v. 34, n. 10, p. 2215–2234, 2007. Disponível em: <https://iopscience.iop.org/article/10.1088/0954-3899/34/10/011>. Acesso em: 10 mar. 2020.
Abstract: Implicit regularization (IR) has been shown as a useful momentum space tool for perturbative calculations in dimension-specific theories, such as chiral gauge, topological and supersymmetric quantum field theoretical models at one-loop level. In this paper, we aim at generalizing systematically IR to be applicable beyond one-loop order. We use a scalar field theory as an example and pave the way for the extension to quantum field theories which are richer from the symmetry content viewpoint. Particularly, we show that a natural (minimal) renormalization scheme emerges, in which the infinities displayed in terms of integrals in one internal momentum are subtracted, whereas infrared and ultraviolet modes do not mix and therefore leave no room for ambiguities. A systematic cancellation of the infrared divergences at any loop order takes place between the ultraviolet finite and divergent parts of the amplitude for non-exceptional momenta leaving, as a by-product, a renormalization group scale.
URI: http://www.repositorio.ufop.br/handle/123456789/12803
metadata.dc.identifier.doi: https://doi.org/10.1088/0954-3899/34/10/011
ISSN: 1361-6471
Appears in Collections:DECEA - Artigos publicados em periódicos

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