Postmodern string theory: Stochastic formulation

Journal Article · Tue Nov 15 00:00:00 EST 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.50.6490· OSTI ID:6905987

Aurilia, A ^[1]; Spallucci, E ^[2]; Vanzetta, I ^[3]

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

In this paper we study the dynamics of a statistical ensemble of strings, building on a recently proposed gauge theory of the string geodesic field. We show that this stochastic approach is equivalent to the Caratheodory formulation of the Nambu-Goto action, supplemented by an averaging procedure over the family of classical string world sheets which are solutions of the equation of motion. In this new framework, the string geodesic field is reinterpreted as the Gibbs current density associated with the string statistical ensemble. Next, we show that the classical field equations derived from the string gauge action can be obtained as the semiclassical limit of the string functional wave equation. For closed strings, the wave equation itself is completely analogous to the Wheeler-DeWitt equation used in quantum cosmology. Thus, in the string case, the wave function has support on the space of all possible spatial loop configurations. Finally, we show that the string distribution induces a multiphase, or [ital cellular] structure on the spacetime manifold characterized by domains with a purely Riemannian geometry separated by domain walls over which there exists a predominantly Weyl geometry.

• OSTI ID: 6905987
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 50:10; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
STRING MODELS
DYNAMICS
ACTION INTEGRAL
EQUATIONS OF MOTION
FIELD EQUATIONS
GEOMETRY
RIEMANN SPACE
SEMICLASSICAL APPROXIMATION
STOCHASTIC PROCESSES
WAVE EQUATIONS
COMPOSITE MODELS
DIFFERENTIAL EQUATIONS
EQUATIONS
EXTENDED PARTICLE MODEL
INTEGRALS
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MATHEMATICS
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
QUARK MODEL
SPACE
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)