TY - JOUR

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

AU - Hiller, John

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.

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U2 - 10.22323/1.119.0009

DO - 10.22323/1.119.0009

M3 - Conference article

AN - SCOPUS:84883588403

SN - 1824-8039

JO - Proceedings of Science

JF - Proceedings of Science

M1 - 009

T2 - Light Cone 2010 on Relativistic Hadronic and Particle Physics, LC 2010

Y2 - 14 June 2010 through 18 June 2010

ER -