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 -