Coupled cluster method in Hamiltonian lattice field theory

Journal Article · Sat Mar 01 04:00:00 EST 1997 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.55.2974· OSTI ID:467547

Schuette, D ^[1]; Weihong, Z; Hamer, C J ^[2]

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1. Institut fuer Theoretische Kernphysik der Universitaet Bonn, Nussallee 14--16, D-53115 Bonn (Germany)
2. School of Physics, The University of New South Wales, Sydney, NSW 2052 (Australia)

The coupled cluster or exp(S) form of the eigenvalue problem for a lattice Hamiltonian QCD (without quarks) is investigated. A new construction prescription is given for the calculation of the relevant coupled cluster matrix elements with respect to an orthogonal and independent loop space basis. The method avoids the explicit introduction of gauge group coupling coefficients by mapping the eigenvalue problem onto a suitable set of character functions, which allows a simplified procedure. Using appropriate group theoretical methods, we show that it is possible to set up the eigenvalue problem for eigenstates having arbitrary lattice momentum and lattice angular momentum. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 467547
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 5 Vol. 55; ISSN 0556-2821; ISSN PRVDAQ
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ANGULAR MOMENTUM
CLUSTER MODEL
COUPLING
EIGENSTATES
EIGENVALUES
HAMILTONIANS
LATTICE FIELD THEORY
MATRIX ELEMENTS
QUANTUM CHROMODYNAMICS