TY - JOUR

T1 - Operator approach to bosonic string

T2 - Multiloop calculation and b-ghost insertion

AU - Carow-Watamura, U.

AU - Ezawa, Z. F.

AU - Tezuka, A.

AU - Watamura, S.

PY - 1989

Y1 - 1989

N2 - We construct the g-loop N-string vertex using the Feynman-like rules in the operator formalism with bosonized bc ghosts. The measure factor is analyzed in detail, which consists of the ghost g vacuum and the contour integration associated with the b-ghost insertion. The general form of the g vacuum is derived using the handle operators. The handle operator is formulated by the geometrical quantities: period matrix, first Abelian integral, prime form, differential, and Riemann constant. Explicit results are given up to two-loop level. The contour integrations associated with the ghost insertions can be performed explicitly in the one-loop case, in which we reproduce the well-known formula of the one-loop N-tachyon amplitude.

AB - We construct the g-loop N-string vertex using the Feynman-like rules in the operator formalism with bosonized bc ghosts. The measure factor is analyzed in detail, which consists of the ghost g vacuum and the contour integration associated with the b-ghost insertion. The general form of the g vacuum is derived using the handle operators. The handle operator is formulated by the geometrical quantities: period matrix, first Abelian integral, prime form, differential, and Riemann constant. Explicit results are given up to two-loop level. The contour integrations associated with the ghost insertions can be performed explicitly in the one-loop case, in which we reproduce the well-known formula of the one-loop N-tachyon amplitude.

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U2 - 10.1103/PhysRevD.40.422

DO - 10.1103/PhysRevD.40.422

M3 - Article

AN - SCOPUS:4243975425

SN - 0556-2821

VL - 40

SP - 422

EP - 435

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

IS - 2

ER -