A nonperturbative light-front coupled-cluster method

Journal Article · Tue Oct 23 04:00:00 EDT 2012 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4763515· OSTI ID:22075664

Hiller, J R ^[1]

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

The nonperturbative Hamiltonian eigenvalue problem for bound states of a quantum field theory is formulated in terms of Dirac's light-front coordinates and then approximated by the exponential-operator technique of the many-body coupled-cluster method. This approximation eliminates any need for the usual approximation of Fock-space truncation. Instead, the exponentiated operator is truncated, and the terms retained are determined by a set of nonlinear integral equations. These equations are solved simultaneously with an effective eigenvalue problem in the valence sector, where the number of constituents is small. Matrix elements can be calculated, with extensions of techniques from standard coupled-cluster theory, to obtain form factors and other observables.

• OSTI ID: 22075664
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1492; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
APPROXIMATIONS
BOUND STATE
DIRAC EQUATION
EIGENFUNCTIONS
EIGENVALUES
ELEMENTARY PARTICLES
FIELD OPERATORS
FORM FACTORS
HAMILTONIANS
INTEGRAL EQUATIONS
MANY-BODY PROBLEM
MATRIX ELEMENTS
NONLINEAR PROBLEMS
QUANTUM CHROMODYNAMICS