Results 221 to 230 of about 48,835 (257)

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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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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Lanczos calculation of the spectrum of Hamiltonian lattice gauge theory

Physical Review D, 1988
The use of a generalized Lanczos technique for the accurate diagonalization of lattice-gauge-theory Hamiltonians is explored. The starting ansatz wave function is a Gaussian one which solves the theory exactly in the weak-coupling limit. Results are given for compact U(1) lattice gauge theory in 3+1 dimensions, on ${4}^{3}$ and ${6}^{3}$ spatial ...
, Choe, , Duncan, , Roskies
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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.
, Di Bartolo C, , Gambini, , Leal
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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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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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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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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.
, van den Doel CP, , Roskies
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Continuum limit of exactly solvable Hamiltonian in lattice gauge theory

Physical Review D, 1991
We investigate the modified lattice gauge Hamiltonian proposed by Guo, Zheng, and Liu, whose vacuum wave function is known exactly. The result strongly suggests that the Hamiltonian does not have the correct continuum limit in either (2+1)-dimensional or (3+1)-dimensional space-time.
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Scales of Euclidean and Hamiltonian lattice gauge theory in three dimensions

Physical Review D, 1996
The relationship between the couplings of Hamiltonian and Euclidean SU({ital N}) lattice gauge theory is determined for three space-time dimensions. The technique used is the background field method, following Dashen and Gross, and Hasenfratz and Hasenfratz. {copyright} {ital 1996 The American Physical Society.}
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