GAUGE INVARIANCE IN A Z2 HAMILTONIAN LATTICE GUAGE THEORY.

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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.

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8 pages

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SUGIHARA, T. July 25, 2005.

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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.

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8 pages

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  • XXIIIRD INTERNATIONAL SYMPOSIUM ON LATTICE FIELD THEORY; TRINITY COLLEGE, DUBLIN, IRELAND; 20050725 through 20050730

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  • Report No.: BNL--75343-2006-CP
  • Grant Number: DE-AC02-98CH10886
  • Office of Scientific & Technical Information Report Number: 862431
  • Archival Resource Key: ark:/67531/metadc794443

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  • July 25, 2005

Added to The UNT Digital Library

  • Dec. 19, 2015, 7:14 p.m.

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  • Nov. 17, 2016, 9:03 p.m.

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SUGIHARA, T. GAUGE INVARIANCE IN A Z2 HAMILTONIAN LATTICE GUAGE THEORY., article, July 25, 2005; [Upton, New York]. (digital.library.unt.edu/ark:/67531/metadc794443/: accessed December 17, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.