Hamiltonian flows, Su( infinity ), SO( infinity ), USp( infinity ), and strings

Conference · Sun Jan 01 04:00:00 EST 1989

OSTI ID:5592183

Zachos, C

Based on the infinite-dimensional algebras we have introduced, SU({infinity}) is identified with general Hamiltonian flows in 2-d phase-space, SO({infinity}) with flows generated by x-p-odd Hamiltonians, and USp({infinity}) with those of Hamiltonians of special symmetry. Gauge theories for SU({infinity}), SO({infinity}), and USp({infinity}) are thus formulated in terms of surface (sheet) coordinates for toroidal phase-space. Spacetime-independent configurations of their gauge fields directly yield the quadratic Schild-Eguchi string action. 15 refs.

• Research Organization: Argonne National Lab., IL (USA)
• Sponsoring Organization: DOE/ER
• DOE Contract Number: W-31109-ENG-38
• OSTI ID: 5592183
• Report Number(s): ANL-HEP-CP-89-55; CONF-891044--1; ON: DE90001987
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMMUTATION RELATIONS
COMPOSITE MODELS
EXTENDED PARTICLE MODEL
HAMILTONIANS
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
PARTICLE MODELS
PHASE SPACE
QUANTUM OPERATORS
QUARK MODEL
SPACE
SPACE-TIME
STRING MODELS
SYMMETRY GROUPS