Implicit regularization beyond one loop order: scalar field theories
Implicit regularization (IR) has been shown as an 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...
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Main Authors | , , , |
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Format | Journal Article |
Language | English |
Published |
11.05.2006
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Subjects | |
Online Access | Get full text |
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Summary: | Implicit regularization (IR) has been shown as an 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 cancelation 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 byproduct, a renormalization group scale. |
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DOI: | 10.48550/arxiv.hep-th/0605116 |