Pauli-Villars regularization of field theories on the light front

John R. Hiller

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Four-dimensional quantum field theories generally require regularization to be well defined. This can be done in various ways, but here we focus on Pauli-Villars (PV) regularization and apply it to nonperturbative calculations of bound states. The philosophy is to introduce enough PV fields to the Lagrangian to regulate the theory perturbatively, including preservation of symmetries, and assume that this is sufficient for the nonperturbative case. The numerical methods usually necessary for nonperturbative bound-state problems are then applied to a finite theory that has the original symmetries. The bound-state problem is formulated as a mass eigenvalue problem in terms of the light-front Hamiltonian. Applications to quantum electrodynamics are discussed.

Original languageEnglish (US)
Title of host publicationQCD at WORK 2010 - International Workshop on Quantum Chromodynamics
Subtitle of host publicationTheory and Experiment Beppe Nardulli Memorial Workshop
Pages156-161
Number of pages6
DOIs
StatePublished - Dec 1 2010
EventInternational Workshop on Quantum Chromodynamics: Theory and Experiment Beppe Nardulli Memorial Workshop, QCD at WORK 2010 - Martina Franca, Italy
Duration: Jun 20 2010Jun 23 2010

Publication series

NameAIP Conference Proceedings
Volume1317
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

OtherInternational Workshop on Quantum Chromodynamics: Theory and Experiment Beppe Nardulli Memorial Workshop, QCD at WORK 2010
CountryItaly
CityMartina Franca
Period6/20/106/23/10

Keywords

  • Pauli-Villars regularization
  • anomalous magnetic moment
  • light-cone quantization
  • quantum electrodynamics

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