3 research outputs found
The Coupled Cluster Method in Hamiltonian Lattice Field Theory
The coupled cluster or exp S form of the eigenvalue problem for lattice
Hamiltonian QCD (without quarks) is investigated. A new construction
prescription is given for the calculation of the relevant coupled cluster
matrix elements with respect to an orthogonal and independent loop space basis.
The method avoids the explicit introduction of gauge group coupling
coefficients by mapping the eigenvalue problem onto a suitable set of character
functions, which allows a simplified procedure. Using appropriate group
theoretical methods, we show that it is possible to set up the eigenvalue
problem for eigenstates having arbitrary lattice momentum and lattice angular
momentum.Comment: LaTeX, no figur
Hamiltonian lattice QCD at finite density: equation of state in the strong coupling limit
The equation of state of Hamiltonian lattice QCD at finite density is
examined in the strong coupling limit by constructing a solution to the
equation of motion corresponding to an effective Hamiltonian describing the
ground state of the many body system. This solution exactly diagonalizes the
Hamiltonian to second order in field operators for all densities and is used to
evaluate the vacuum energy density from which we obtain the equation of state.
We find that up to and beyond the chiral symmetry restoration density the
pressure of the quark Fermi sea can be negative indicating its mechanical
instability. Our result is in qualitative agreement with continuum models and
should be verifiable by future lattice simulations of strongly coupled QCD at
finite density.Comment: 27 pages, 6 figures. Uses ReVTeX4 and BiBTeX. Revised versio
The Hamiltonian limit of (3+1)D SU(3) lattice gauge theory on anisotropic lattices
The extreme anisotropic limit of Euclidean SU(3) lattice gauge theory is
examined to extract the Hamiltonian limit, using standard path integral Monte
Carlo (PIMC) methods. We examine the mean plaquette and string tension and
compare them to results obtained within the Hamiltonian framework of Kogut and
Susskind. The results are a significant improvement upon previous Hamiltonian
estimates, despite the extrapolation procedure necessary to extract
observables. We conclude that the PIMC method is a reliable method of obtaining
results for the Hamiltonian version of the theory. Our results also clearly
demonstrate the universality between the Hamiltonian and Euclidean formulations
of lattice gauge theory. It is particularly important to take into account the
renormalization of both the anisotropy, and the Euclidean coupling ,
in obtaining these results.Comment: 10 pages, 11 figure