Pauli–Villars Regularization of Non-Abelian Gauge Theories

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• 作者：J. R. Hiller
• 刊名：Few-Body Systems
• 出版年：2016
• 出版时间：July 2016
• 年：2016
• 卷：57
• 期：7
• 页码：557-563
• 全文大小：382 KB
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Elementary Particles and Nuclei
  Nuclear Physics, Heavy Ions and Hadrons
  Atoms, Molecules, Clusters and Plasmas
  
• 出版者：Springer Wien
• ISSN：1432-5411
• 卷排序：57

文摘

As an extension of earlier work on QED, we construct a BRST-invariant Lagrangian for SU(N) Yang–Mills theory with fundamental matter, regulated by the inclusion of massive Pauli–Villars (PV) gluons and PV quarks. The underlying gauge symmetry for massless PV gluons is generalized to accommodate the PV-index-changing currents that are required by the regularization. Auxiliary adjoint scalars are used, in a mechanism due to Stueckelberg, to attribute mass to the PV gluons and the PV quarks. The addition of Faddeev–Popov ghosts then establishes a residual BRST symmetry. Although there are drawbacks to the approach, in particular the computational load of a large number of PV fields and a nonlocal interaction of the ghost fields, this formulation could provide a foundation for renormalizable nonperturbative solutions of light-front QCD in an arbitrary covariant gauge.