Nonperturbative Pauli-Villars regularization of vacuum polarization in light-front QED
Journal Article
·
· Physical Review. D, Particles Fields
- Department of Physics, University of Minnesota-Duluth, Duluth, Minnesota 55812 (United States)
We continue the development of a nonperturbative light-front Hamiltonian method for the solution of quantum field theories by considering the one-photon eigenstate of Lorentz-gauge QED. The photon state is computed nonperturbatively for a Fock basis with a bare photon state and electron-positron pair states. The calculation is regulated by the inclusion of Pauli-Villars (PV) fermions, with one flavor to make the integrals finite and a second flavor to guarantee a zero mass for the physical photon eigenstate. We compute in detail the constraints on the PV coupling strengths that this zero mass implies. As part of this analysis, we provide the complete Lorentz-gauge light-front QED Hamiltonian with two PV fermion flavors and two PV photon flavors, which will be useful for future work. The need for two PV photons was established previously; the need for two PV fermions is established here.
- OSTI ID:
- 21432844
- Journal Information:
- Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 3 Vol. 82; ISSN PRVDAQ; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
COMPOSITE MODELS
COUPLING
ELECTRODYNAMICS
ELECTRON-POSITRON INTERACTIONS
ELEMENTARY PARTICLES
FIELD THEORIES
FLAVOR MODEL
GAUGE INVARIANCE
HAMILTONIANS
INTERACTIONS
INVARIANCE PRINCIPLES
LEPTON-LEPTON INTERACTIONS
MASS
MASSLESS PARTICLES
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICAL SOLUTIONS
PARTICLE INTERACTIONS
PARTICLE MODELS
PERTURBATION THEORY
PHOTONS
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
QUARK MODEL
VACUUM POLARIZATION
BOSONS
COMPOSITE MODELS
COUPLING
ELECTRODYNAMICS
ELECTRON-POSITRON INTERACTIONS
ELEMENTARY PARTICLES
FIELD THEORIES
FLAVOR MODEL
GAUGE INVARIANCE
HAMILTONIANS
INTERACTIONS
INVARIANCE PRINCIPLES
LEPTON-LEPTON INTERACTIONS
MASS
MASSLESS PARTICLES
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICAL SOLUTIONS
PARTICLE INTERACTIONS
PARTICLE MODELS
PERTURBATION THEORY
PHOTONS
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
QUARK MODEL
VACUUM POLARIZATION