A four-dimensional approach to quantum field theories
release_vuqpmua44ncczcrpwbbuskylii
by
Roberto Pittau
2012
Abstract
I present a novel Four-Dimensional Regularization/Renormalization approach
(FDR) to ultraviolet divergences in field theories which can be interpreted as
a natural separation between physical and non physical degrees of freedom.
Based on the observation that some infinities can be reabsorbed into the vacuum
expectation value of the fields, rather than into the parameters of the
Lagrangian, a new type of four-dimensional loop integral is introduced (the FDR
integral) which is independent of any UV regulator and respects all properties
required by gauge invariance. FDR reproduces the correct ABJ anomaly and no
change in the definition of gamma_5 is needed. With FDR the possibility is open
for an approach to UV infinities in which the renormalization program is
substituted by a simple reinterpretation of the appearing loop integrals as FDR
ones, leading to important consequences in the context of non-renormalizable
field theories. Finally, I show how FDR can also be used to regularize infrared
and collinear divergences.
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