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1 hamiltonian lattice gauge theory: wavefunctions on large lattices (1992).
| Content Provider | CiteSeerX |
|---|---|
| Author | J. B. Bronzan, A. |
| Abstract | We discuss an algorithm for the approximate solution of Schrödinger’s equation for lattice gauge theory, using lattice SU(3) as an example. A basis is generated by repeatedly applying an effective Hamiltonian to a “starting state. ” The resulting basis has a cluster decomposition and long-range correlations. One such basis has about 10 4 states on a 10×10×10 lattice. The Hamiltonian matrix on the basis is sparse, and the elements can be calculated rapidly. The lowest eigenstates of the system are readily calculable. The approximate solution of Schrödinger’s equation for lattice gauge theory presents a number of problems, especially when it is to be carried out on a large lattice. We discuss these issues for pure SU(3) field theory, sometimes using the example of a 10 × 10 × 10 lattice, where there are 3000 link degrees of freedom. The addition of matter degrees of freedom is straightforward. 1. CHOICE OF THE HAMILTONIAN The computations of SU(3) wavefunctions is based on the Kogut-Susskind Hamiltonian for SU(3) lattice gauge theory.[1] H = g2 ∑ 2 s,µ |
| File Format | |
| Publisher Date | 1992-01-01 |
| Access Restriction | Open |
| Subject Keyword | Large Lattice Lattice Gauge Theory Hamiltonian Lattice Gauge Theory Approximate Solution Schr Dinger Equation Field Theory Hamiltonian Matrix Cluster Decomposition Kogut-susskind Hamiltonian Lattice Su Effective Hamiltonian Link Degree Matter Degree Long-range Correlation Pure Su |
| Content Type | Text |
