Pauli-Villars regularization of field theories on the light front

Hiller, John R

doi:10.1063/1.3536550

Title: Pauli-Villars regularization of field theories on the light front

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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.

Authors:

Hiller, John R ^[1]

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

Publication Date:: Wed Dec 22 00:00:00 EST 2010

OSTI Identifier:: 21510021

Resource Type:: Journal Article

Journal Name:: AIP Conference Proceedings

Additional Journal Information:: Journal Volume: 1317; Journal Issue: 1; Conference: International workshop on quantum chromodynamics: Theory and experiment - Beppe Nardulli memorial workshop, Martina Franca (Italy), 20-23 Jun 2010; Other Information: DOI: 10.1063/1.3536550; (c) 2010 American Institute of Physics; Journal ID: ISSN 0094-243X

Country of Publication:: United States

Language:: English

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

Citation Formats


                    Hiller, John R. Pauli-Villars regularization of field theories on the light front.  United States: N. p., 2010. 
        Web.  doi:10.1063/1.3536550.

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                    Hiller, John R. Pauli-Villars regularization of field theories on the light front.  United States.  https://doi.org/10.1063/1.3536550

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                    Hiller, John R. 2010.  
        "Pauli-Villars regularization of field theories on the light front".  United States.  https://doi.org/10.1063/1.3536550.

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@article{osti_21510021,

  title        = {Pauli-Villars regularization of field theories on the light front},

  author       = {Hiller, John R},

  abstractNote = {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.},

  doi          = {10.1063/1.3536550},

  url          = {https://www.osti.gov/biblio/21510021},
  journal      = {AIP Conference Proceedings},

  issn         = {0094-243X},

  number       = 1,

  volume       = 1317,

  place        = {United States},

  year         = {Wed Dec 22 00:00:00 EST 2010},

  month        = {Wed Dec 22 00:00:00 EST 2010}

}

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