Inelastic strong interactions at high energies. Annual progress report, June 1, 1982-May 1, 1983

Technical Report · Sat Jan 01 04:00:00 EST 1983

OSTI ID:6790996

Suranyi, P

A general expression for the expectation value of the Hamiltonian of a d + 1 dimensional lattice gauge theory as a function of the norm of the variational state (that itself has the form of a partition function of a d-dimensional lattice gauge theory) is given. Applications include U(1), SU(2), U(2) and U(N) gauge theories for large N in d = 2 + 1 dimensions. It is also demonstrated that the deconfining phase transition is of first order in every dimension above the critical one, provided it is of first or second order at the critical dimension. An improved estimate for the mass gap, the string tension and the width of the flux tube are obtained in the weak coupling limit of the d = 2 + 1 Hamiltonian U(1) lattice gauge theory. The method relies on a systematic separation of the (non-perturbative) contributions generated by the periodic structure of the theory. The problems of maximum possible local (gauge) symmetries in gravity and supergravity theories were investigated. It was found that the structure of space-time and of superspace put severe restrictions on the respective theories. In particular, the problem of scale invariance in superspace was studied in detail. It was found that to avoid having scale invariant actions in superspace, which are non-polynomial in components of curvature and torsion, one must work in a superspace consisting of two sets of real four component spinors which transform oppositely under scale transformations. The problem of setting up consistent quantum theories for extended objects was also investigated. This was done by combing ideas from color string models with those from dimensional reduction. It was found that, under certain conditions, one can rule out consistent theories for objects extended in more than 5 (3 in supersymmetric case) space-like dimensions.

• Research Organization: Cincinnati Univ., OH (USA)
• DOE Contract Number: AC02-76ER02978
• OSTI ID: 6790996
• Report Number(s): DOE/ER/02978-9; ON: DE83006099
• Country of Publication: United States
• Language: English

Related Subjects

645204* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions & Properties
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BASIC INTERACTIONS
CRYSTAL-PHASE TRANSFORMATIONS
EXPECTATION VALUE
FIELD THEORIES
HAMILTONIANS
INTERACTIONS
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
MANY-DIMENSIONAL CALCULATIONS
MATHEMATICAL OPERATORS
PHASE TRANSFORMATIONS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
SCALE INVARIANCE
STRONG INTERACTIONS
SUPERGRAVITY
VARIATIONAL METHODS