Inelastic strong interactions at high energies. Annual progress report, June 1, 1983-May 1, 1984

Technical Report · Sun Jan 01 04:00:00 EST 1984

OSTI ID:5342875

Suranyi, P

Various methods giving increasingly more precise, but physically equivalent results were introduced for the investigation of U(1) lattice theories. The mass gap and string tension were calculated and deconfining phase transition points were estimated in Hamiltonian lattice theories by employing the variational and WKB methods and by constructing periodic Gaussian models. At weak coupling U(1) lattice theories (global or gauge) of d-dimension were shown to be equivalent to Z (integer valued) or Z(2) spin theories of d-1 dimensions. A systematic method for performing dimensional reduction on theories constructed in (D+n)-dimensional space-times, with or without torsion, which admit n Killing vectors was developed. For the case of n abelian Killing vectors the field contents and their equations of motion for the corresponding (d+n)-dimensional theories were completely worked out. An extended conformal theory of gravity was constructed and its local symmetries were compared to those of Einstein and Weyl. The extension to superspace was also studied.

• Research Organization: Cincinnati Univ., OH (USA)
• DOE Contract Number: AC02-76ER02978
• OSTI ID: 5342875
• Report Number(s): DOE/ER/02978-10; ON: DE84005666
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BASIC INTERACTIONS
CONFORMAL INVARIANCE
FIELD THEORIES
GRAVITATION
HAMILTONIANS
INTERACTIONS
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
LIE GROUPS
MATHEMATICAL OPERATORS
PHASE TRANSFORMATIONS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
SPACE-TIME
STRONG INTERACTIONS
SYMMETRY GROUPS
U GROUPS
U-1 GROUPS
VARIATIONAL METHODS
WKB APPROXIMATION