String propagator: A loop space representation

Journal Article · Mon Jan 01 04:00:00 EST 1996 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.53.870· OSTI ID:277477

Ansoldi, S ^[1]; Aurilia, A ^[2]; Spallucci, E ^[3]

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1. Dipartimento di Fisica Teorica dellUniversita, Strada Costiera 11, 34014-Trieste (Italy)
2. Department of Physics, California State Polytechnic University, Pomona, California 91768 (United States)
3. Dipartimento di Fisica Teorica dellUniversita, Istituto Nazionale di Fisica Nucleare, Sezione di Trieste, Strada Costiera 11, 34014-Trieste (Italy)

The string quantum kernel is normally written as a functional sum over the string coordinates and the world-sheet metrics. As an alternative to this quantum field-inspired approach, we study the closed bosonic string propagation amplitude in the functional space of loop configurations. This functional theory is based entirely on the Jacobi variational formulation of quantum mechanics, {ital without the use of a lattice approximation.} The corresponding Feynman path integral is weighed by a string action which is a {ital reparametrization invariant} version of the Schild action. We show that this path integral formulation is equivalent to a functional {open_quote}{open_quote}Schr{umlt o}dinger{close_quote}{close_quote} equation defined in loop space. Finally, for a free string, we show that the path integral and the functional wave equation are {ital exactly} solvable. {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 277477
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 2 Vol. 53; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
FEYNMAN PATH INTEGRAL
FUNCTIONAL ANALYSIS
PROPAGATOR
QUANTUM FIELD THEORY
QUANTUM MECHANICS
SCHROEDINGER EQUATION
STRING MODELS
WAVE FUNCTIONS