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One-dimensional $Z_2$ lattice gauge theory in periodic Gauss-law sectors


We calculate the properties of a one-dimensional $Z_2$ lattice gauge theory in different Gauss law sectors, corresponding to different configurations of static charges set by the orientations of the gauge spins.
Vaibhav Sharma, Erich J Mueller
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The exact ground state of a Hamiltonian lattice gauge theory

Chinese Physics Letters, 1985
A modified Hamiltonian of lattice gauge theory including 2-plaquette interaction has been studied. We have found the exact ground state of the theory.
Chen Qi-zhou, Liu Jin-ming, Guo Shuohong
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Lattice gauge theory: Hamiltonian, Wilson fermions, and action

Physical Review D, 1986
We derive the gauge-theory Hamiltonian in the axial gauge directly from the path integral defined by the Wilson lattice action. We define the state space for the gauge field coupled to Wilson fermions and derive noncanonical equal-time anticommutation equations for Wilson fermions.
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Hamiltonian lattice gauge theories in a loop-dependent magnetic representation

Physical Review D, 1989
We formulate the U(1) and SU(2) lattice Hamiltonians in a loop-dependent magnetic basis. The formulation is gauge invariant and leads to a differential Schroedinger equation whose variables are angles associated with an independent set of closed contours in the lattice.
L. Leal, Rodolfo Gambini, C. Di Bartolo
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Connected moments of the Hamiltonian in SU(3) lattice gauge theory

Physical Review D, 1986
We calculate expectation values of powers of the Hamiltonian of the SU(3) lattice gauge theory in the strong-coupling ground state. The moments are written as a sum of diagrams. We describe the algorithm used to evaluate the diagrams numerically.
C.P. van den Doel, Ralph Roskies
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Explicit Hamiltonian for SU(2) lattice gauge theory

Physical Review D, 1985
We study pure SU(2) gauge theory in the Hamiltonian formulation in 2 + 1 and 3 + 1 dimensions. We treat both the vacuum sector and the sector having two static color charges. These two sectors are required for calculations of glueballs and string tension. All gauge arbitrariness is eliminated, and we formulate the Hamiltonian in terms of variables that
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Hamiltonian Eigenvalues for Lattice Gauge Theories

1987
A brief review is presented of Lanczos sparse matrix techniques in solving Hamiltonian lattice gauge theory. The Hamiltonian approach gives direct access to many measurable quantities (such as masses) in quantum field theory. A brute force approach (initiated by Hamer and Barber) of exactly solving a spatially restricted system proves extremely ...
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COUPLED CLUSTER CALCULATIONS OF THE SCHWINGER MODEL IN HAMILTONIAN LATTICE GAUGE THEORY

International Journal of Modern Physics B, 2002
The Schwinger Model, or quantum electrodynamics in 1+1 dimensions is a simple, yet non-trivial gauge theory. We investigate the Hamiltonian form of the Schwinger model defined of a spatial lattice with massive staggered fermions using the normal coupled cluster method (NCCM).
McDonald, Reuben, Walet, Niels R.
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Hamiltonian variational study of SU(2) lattice gauge theory

Physical Review D, 1984
The Hamiltonian variational method is applied to the SU(2) lattice gauge theory in d+1 dimensions using a plaquette-independent ansatz. The calculations in the equivalent model have been performed using a mean-field approach in plaquette variables. We obtain only one confining phase. Possible generalizations are also discussed.
Elbio Dagotto, Adriana Moreo
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Nambu-Jona-Lasinio terms in Hamiltonian lattice gauge theory

Physical Review D, 1990
The form of various Nambu-Jona-Lasinio terms in Hamiltonian lattice gauge theory is studied. The complete set of four-fermion interactions which recover full chiral invariance in their naive continuum limit are determined for staggered lattice fermions in 2+1 and 3+1 dimensions.
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