Lattice field theories: non-perturbative methods of analysis

Conference · Sun Jan 01 00:00:00 EST 1978

OSTI ID:7276334

Weinstein, M

A lecture is given on the possible extraction of interesting physical information from quantum field theories by studying their semiclassical versions. From the beginning the problem of solving for the spectrum states of any given continuum quantum field theory is considered as a giant Schroedinger problem, and then some nonperturbative methods for diagonalizing the Hamiltonian of the theory are explained without recourse to semiclassical approximations. The notion of a lattice appears as an artifice to handle the problems associated with the familiar infrared and ultraviolet divergences of continuum quantum field theory and in fact for all but gauge theories. 18 references. (JFP)

• Research Organization: Stanford Linear Accelerator Center, Calif. (USA)
• DOE Contract Number: EY-76-S-03-0326
• OSTI ID: 7276334
• Report Number(s): SLAC-PUB-2073; CONF-770889-2; TRN: 78-011269
• Resource Relation: Conference: Banff Summer Institute on particles and fields, Alberta, Canada, 26 Aug 1977
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM FIELD THEORY
SEMICLASSICAL APPROXIMATION
ENERGY SPECTRA
HAMILTONIANS
INFRARED DIVERGENCES
LECTURES
SCHROEDINGER EQUATION
ULTRAVIOLET DIVERGENCES
DIFFERENTIAL EQUATIONS
DOCUMENT TYPES
EQUATIONS
FIELD THEORIES
MATHEMATICAL OPERATORS
QUANTUM OPERATORS
SPECTRA
WAVE EQUATIONS
645400* - High Energy Physics- Field Theory