GAUGE INVARIANCE IN A Z2 HAMILTONIAN LATTICE GUAGE THEORY.
Conference
·
OSTI ID:862431
We propose an efficient variational method for Z{sub 2} lattice gauge theory based on the matrix product ansatz. The method is applied to ladder and square lattices. The Gauss law needs to be imposed on quantum states to guarantee gauge invariance when one studies gauge theory in hamiltonian formalism. On the ladder lattice, we identify gauge invariant low-lying states by evaluating expectation values of the Gauss law operator after numerical diagonalization of the gauge hamiltonian. On the square lattice, the second order phase transition is well reproduced.
- Research Organization:
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- Sponsoring Organization:
- DOE/SC AND RIKEN
- DOE Contract Number:
- DE-AC02-98CH10886
- OSTI ID:
- 862431
- Report Number(s):
- BNL-75343-2006-CP; R&D Project: PO-3; KB-02-01; TRN: US0600693
- Resource Relation:
- Conference: XXIIIRD INTERNATIONAL SYMPOSIUM ON LATTICE FIELD THEORY; TRINITY COLLEGE, DUBLIN, IRELAND; 20050725 through 20050730
- Country of Publication:
- United States
- Language:
- English
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