Published June 1984
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Variational approach to spectra
Description
A generalized Lanczos algorithm is applied to the calculation of the mass spectrum in lattice Hamiltonian field theories. Various examples (anharmonic oscillator, the 0(3) sigma-model in 1+1D, and Yang Mills in 2+1D and 3+1D) are considered. Detailed results are presented for the 0(3) sigma-model, where we obtain agreement is obtained with the extensive Monte Carlo results of Fox et al. The method is entirely analytic in spirit, and hence easily extendable to fermions
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Additional details
Publishing Information
- Imprint Title
- Gauge theory on a lattice: 1984. Proceedings
- Journal Page Range
- p. 242-257.
- Report number
- CONF-8404119--
Conference
- Title
- Workshop on gauge theory on a lattice.
- Dates
- 5-7 Apr 1984.
- Place
- Argonne, IL (USA).
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 16027933
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Resource subtype / Literary indicator
- Conference
- Descriptors DEI
- ALGORITHMS; ANALYTICAL SOLUTION; ANHARMONIC OSCILLATORS; HAMILTONIANS; LATTICE FIELD THEORY; MASS SPECTRA; O GROUPS; SIGMA MODEL; VARIATIONAL METHODS; YANG-MILLS THEORY
- Descriptors DEC
- BOSON-EXCHANGE MODELS; CONSTRUCTIVE FIELD THEORY; DYNAMICAL GROUPS; FIELD THEORIES; LIE GROUPS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; PARTICLE MODELS; PERIPHERAL MODELS; QUANTUM FIELD THEORY; QUANTUM OPERATORS; SPECTRA; SYMMETRY GROUPS