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Zeitschrift für Physik C Particles and Fields
Article . 1994 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
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https://dx.doi.org/10.48550/ar...
Article . 1994
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
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Equivalence of dimensional reduction and dimensional regularisation

Authors: I. Jack; D.R.T. Jones; K. Roberts;

Equivalence of dimensional reduction and dimensional regularisation

Abstract

For some years there has been uncertainty over whether regularisation by dimensional reduction (DRED) is viable for non-supersymmetric theories. We resolve this issue by showing that DRED is entirely equivalent to standard dimensional regularisation (DREG), to all orders in perturbation theory and for a general renormalisable theory. The two regularisation schemes are related by an analytic redefinition of the couplings, under which the $\b$-functions calculated using DRED transform into those computed in DREG. The $S$-matrix calculated using DRED is numerically equal to the DREG version, ensuring that both schemes give the same physics.

17 pages, LTH 329. Uses Harvmac

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Keywords

High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), FOS: Physical sciences

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
67
Top 10%
Top 10%
Top 10%
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gold