TY - GEN

T1 - Pauli-Villars regularization of field theories on the light front

AU - Hiller, John R.

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

KW - Pauli-Villars regularization

KW - anomalous magnetic moment

KW - light-cone quantization

KW - quantum electrodynamics

UR - http://www.scopus.com/inward/record.url?scp=78751493616&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78751493616&partnerID=8YFLogxK

U2 - 10.1063/1.3536550

DO - 10.1063/1.3536550

M3 - Conference contribution

AN - SCOPUS:78751493616

SN - 9780735408616

T3 - AIP Conference Proceedings

SP - 156

EP - 161

BT - QCD at WORK 2010 - International Workshop on Quantum Chromodynamics

T2 - International Workshop on Quantum Chromodynamics: Theory and Experiment Beppe Nardulli Memorial Workshop, QCD at WORK 2010

Y2 - 20 June 2010 through 23 June 2010

ER -