{ "id": "1512.08771", "version": "v1", "published": "2015-12-29T20:04:20.000Z", "updated": "2015-12-29T20:04:20.000Z", "title": "Pauli-Villars regularization of non-Abelian gauge theories", "authors": [ "J. R. Hiller" ], "comment": "8 pages; RevTeX 4.1; invited talk presented at the Lightcone 2015 workshop, Frascati, Italy, September 21-25, 2015", "categories": [ "hep-th" ], "abstract": "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.", "revisions": [ { "version": "v1", "updated": "2015-12-29T20:04:20.000Z" } ], "analyses": { "keywords": [ "non-abelian gauge theories", "pauli-villars regularization", "pv quarks", "pv gluons", "residual brst symmetry" ], "publication": { "doi": "10.1007/s00601-016-1098-9", "journal": "Few-Body Systems", "year": 2016, "month": "Apr", "pages": 55 }, "note": { "typesetting": "RevTeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2016FBS...tmp...55H", "inspire": 1411719 } } }