One-Loop QCD β Function as an Index

Authors:
Open Access
Publisher website
Google Scholar
Abstract
In this Letter, we show that the one-loop QCD β function can be obtained from an index theorem on twistor space. This is achieved by recalling that the θ angle of self-dual gauge theory flows according the one-loop β function. Rewriting self-dual gauge theory as a holomorphic theory on twistor space this flow can be computed as the anomaly to scale invariance. The one-loop Weyl anomaly coefficient a − c can be recovered similarly.
All Related Versions
Funding Information
  • Simons Foundation
  • Institut Périmètre de physique théorique
  • Government of Canada

This publication has 42 references indexed in Scilit: