Exact ground state, mass gap, and string tension in lattice gauge theory

Journal Article · Sat Oct 15 04:00:00 EDT 1988 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.38.2591· OSTI ID:6762422

Shuohong, Guo; Weihong, Zheng; Jinming, Liu

We make use of the arbitrariness in defining lattice gauge theory to propose a new form of lattice Hamiltonian with exact ground state. Four such Hamiltonians are obtained. Since the ground state is exactly known, a variational method is applied to obtain rigorous upper bounds of the mass gap in (2+1)-dimensional U(1), SU(2), and SU(3) lattice gauge theories. Trial wave functions for excited states contain loop variables up to 30 x 30 Wilson loops. Nice scaling behaviors are obtained. The scaling behaviors of the mass gap and string tension in non-Abelian theory are in agreement with that predicted by weak-coupling perturbation theory and the Monte Carlo method, but is extended to a much weaker coupling region 1/g/sup 2/approx.7. For non-Abelian theory, universality is confirmed.

• Research Organization: Center of Theoretical Physics, Chinese Center of Advanced Science Technology (World Laboratory), Beijing, People's Republic of China China
• OSTI ID: 6762422
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 38:8; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMPOSITE MODELS
EXTENDED PARTICLE MODEL
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
HAMILTONIANS
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
LIE GROUPS
LIMITING VALUES
MASS DIFFERENCE
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
PARTICLE MODELS
PARTICLE PROPERTIES
QUANTUM FIELD THEORY
QUANTUM OPERATORS
QUARK MODEL
STRING MODELS
SU GROUPS
SU-2 GROUPS
SU-3 GROUPS
SYMMETRY GROUPS
U GROUPS
U-1 GROUPS
VACUUM STATES
VARIATIONAL METHODS
WAVE FUNCTIONS
WILSON LOOP