Operator approach to bosonic string: Multiloop calculation and /ital b/-ghost insertion

Journal Article · Sat Jul 15 04:00:00 EDT 1989 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.40.422· OSTI ID:5960462

Carow-Watamura, U; Ezawa, Z F; Tezuka, A; Watamura, S

We construct the /ital g/-loop /ital N/-string vertex using the Feynman-likerules in the operator formalism with bosonized /ital bc/ ghosts. The measurefactor is analyzed in detail, which consists of the ghost /ital g/ vacuum andthe contour integration associated with the /ital b/-ghost insertion. Thegeneral form of the /ital g/ vacuum is derived using the handle operators. Thehandle operator is formulated by the geometrical quantities: period matrix,first Abelian integral, prime form, 1/2 differential, andRiemann constant. Explicit results are given up to two-loop level. The contourintegrations associated with the ghost insertions can be performed explicitlyin the one-loop case, in which we reproduce the well-known formula of theone-loop /ital N/-tachyon amplitude.

• Research Organization: Department of Physics, Tohoku University, Sendai 980, Japan(JP); Department of Physics, College of General Education, Tohoku University, Sendai 980, Japan
• OSTI ID: 5960462
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 40:2; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSON EXPANSION
BOSONS
COMPOSITE MODELS
DIAGRAMS
ELEMENTARY PARTICLES
EXTENDED PARTICLE MODEL
FEYNMAN DIAGRAM
FIELD THEORIES
MATHEMATICAL MODELS
PARTICLE MODELS
POSTULATED PARTICLES
PROPAGATOR
QUANTUM FIELD THEORY
QUANTUM GRAVITY
QUARK MODEL
STRING MODELS
TACHYONS
VACUUM STATES