A light-front coupled-cluster method for the nonperturbative solution of quantum field theories

Sophia S Chabysheva, John R Hiller

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38 Scopus citations

Abstract

We propose a new method for the nonperturbative solution of quantum field theories and illustrate its use in the context of a light-front analog to the Greenberg-Schweber model. The method is based on light-front quantization and uses the exponential-operator technique of the many-body coupled-cluster method. The formulation produces an effective Hamiltonian eigenvalue problem in the valence Fock sector of the system of interest, combined with nonlinear integral equations to be solved for the functions that define the effective Hamiltonian. The method avoids the Fock-space truncations usually used in nonperturbative light-front Hamiltonian methods and, therefore, does not suffer from the spectator dependence, Fock-sector dependence, and uncanceled divergences caused by such truncations.

Original languageEnglish (US)
Pages (from-to)417-422
Number of pages6
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume711
Issue number5
DOIs
StatePublished - May 23 2012

Bibliographical note

Funding Information:
This work was supported in part by the U.S. Department of Energy through Contract No. DE-FG02-98ER41087 .

Keywords

  • Anomalous magnetic moment
  • Coupled-cluster method
  • Light-front quantization
  • Pauli-Villars regularization
  • Quantum electrodynamics

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