Coupled-channel effects in the variational calculation of the glueball mass in lattice Hamiltonian SU(N) gauge theory

Journal Article · Sun Nov 15 04:00:00 EST 1987 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.36.3245· OSTI ID:5509778

Duck, I

A coupled-channel calculation of the variational eigenenergies of the SU(N) Hamiltonian on a lattice is presented. A trial physical vacuum state and one and two 0/sup ++/ glueball states are the basis states of a Hamiltonian matrix whose lowest eigenenergies are the SU(N) ground-state energy to be minimized and the glueball mass. We show that the coupled-channel effects do not disappear in the infinite-volume limit and can, in principle, have a significant effect on the glueball mass. In practice, however, in the present context the effects turn out to be small.

• Research Organization: T. W. Bonner Nuclear Laboratory, Physics Department, Rice University, Houston, Texas 77251
• OSTI ID: 5509778
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 36:10; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645300 -- High Energy Physics-- Particle Invariance Principles & Symmetries
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COUPLED CHANNEL THEORY
EIGENSTATES
FIELD THEORIES
GAUGE INVARIANCE
GLUEBALLS
HAMILTONIANS
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
LIE GROUPS
MASS
MATHEMATICAL OPERATORS
MONTE CARLO METHOD
PERTURBATION THEORY
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
RENORMALIZATION
SU GROUPS
SYMMETRY BREAKING
SYMMETRY GROUPS
VACUUM STATES
VARIATIONAL METHODS
WILSON LOOP