Nonpolynomial closed-string field theory

Journal Article · Fri Jun 15 04:00:00 EDT 1990 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.41.3734· OSTI ID:6739065

Kaku, M ^[1]

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1. Institute for Advanced Study, Princeton, New Jersey 08540 (USA)

Recently, we announced the construction of a new nonpolynomial closed-string field theory which successfully reproduced all {ital N}-point tree amplitudes, thus solving a long-standing problem. This action generalized the four-string tetrahedron interaction that we introduced earlier, which was required to derive the Shapiro-Virasoro model. However, we gave no derivation of the nonpolynomial action. In this paper we present the detailed analysis of its derivation. We calculate all nonpolynomial graphs up to eighth order and their coefficients, and even the coefficients of several infinite series of polyhedra. We use gauge invariance to calculate all coefficients. Because of an enormous redundancy created by a web of overconstrained equations, we have multiple checks that our coefficients are correctly calculated.

• DOE Contract Number: AC02-76ER02220
• OSTI ID: 6739065
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 41:12; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMPOSITE MODELS
COULOMB FIELD
ELECTRIC FIELDS
EXTENDED PARTICLE MODEL
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
PARTICLE MODELS
PERTURBATION THEORY
POLYNOMIALS
POTENTIALS
QUARK MODEL
STRING MODELS