Pauli-Villars regularization of field theories on the light front

Journal Article · Wed Dec 22 04:00:00 EST 2010 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3536550· OSTI ID:21510021

Hiller, John R ^[1]

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1. Department of Physics, University of Minnesota-Duluth, Duluth, Minnesota 55812 (United States)

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.

• OSTI ID: 21510021
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1317; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUND STATE
EIGENVALUES
ELECTRODYNAMICS
ELECTROMAGNETIC RADIATION
FIELD THEORIES
FOUR-DIMENSIONAL CALCULATIONS
FUNCTIONS
HAMILTONIANS
LAGRANGIAN FUNCTION
MAGNETIC MOMENTS
MASS
MATHEMATICAL OPERATORS
PRESERVATION
QUANTUM CHROMODYNAMICS
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
RADIATIONS
SYMMETRY
VISIBLE RADIATION