TL;DR
This paper introduces an $oldsymbol{ extalpha}$-parameter representation for gauge field theories, simplifying the calculation of Feynman graphs by relating them to scalar field theory and providing rules for arbitrary loop diagrams.
Contribution
It develops a novel $oldsymbol{ extalpha}$-representation for gauge theories, facilitating easier computation of Feynman graphs in the Feynman gauge.
Findings
Provides explicit rules for $oldsymbol{ extalpha}$-representation in gauge theories
Simplifies multi-loop Feynman graph calculations
Connects gauge theories to scalar field theory through $oldsymbol{ extalpha}$-parameters
Abstract
An -parameter representation is derived for gauge field theories.It involves, relative to a scalar field theory, only constants and derivatives with respect to the -parameters. Simple rules are given to obtain the -representation for a Feynman graph with an arbitrary number of loops in gauge theories in the Feynman gauge.
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