Noninstantaneous action-at-a-distance theory of interacting relativistic strings

Journal Article · Wed Jun 15 04:00:00 EDT 1977 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.15.3597· OSTI ID:7311785

Kaul, R K

A classical noninstantaneous action-at-a-distance theory of interacting relativistic strings in both Lagrangian and Hamiltonian formulations has been developed by generalizing the noninstantaneous action-at-a-distance formulation of relativistic mechanics of point particles. Parametrization invariance of the free and the interstring actions allows introduction of a common time parameter for all the strings. The Lagrangian, the resulting equations of motion, and the conserved generators are seen to be nonlocal in time. Choosing the asymptotic solutions of the equations of motion as the canonical variables, the noncovariant Hamiltonian formulation is developed in the lightlike orthonormal gauge. The conserved generators have been shown to obey the regular Lie algebra of the Poincare group. The physical variables have the regular Poisson bracket properties with respect to the conserved generators.

• Research Organization: Department of Physics and Astrophysics, University of Delhi, Delhi-110007, India
• OSTI ID: 7311785
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 15:12; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645201* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMPOSITE MODELS
COUPLING CONSTANTS
DIFFERENTIAL EQUATIONS
ENERGY RANGE
EQUATIONS
EQUATIONS OF MOTION
EXTENDED PARTICLE MODEL
FUNCTIONS
HAMILTONIAN FUNCTION
LAGRANGIAN FUNCTION
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE MODELS
POINCARE GROUPS
QUARK MODEL
RELATIVISTIC RANGE
SPACE-TIME
STRING MODELS
SYMMETRY GROUPS