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Multiloop amplitudes for the bosonic Polyakov string
Open accessAbstract
We provide a simple formula for multiloop amplitudes of the bosonic, closed oriented Polyakov string (in d = 26) as integrals over moduli space with respect to the Weil-Petersson measure. The integrand consists of Green functions and the determinants of laplacians acting on functions and vectors. We compute these determinants in terms of the lengths of the closed geodesics on the surface. They are finite and different from zero. The one on functions equals the derivative at 1 of the Selberg zeta function. A discussion of lengths of closed geodesics and coordinates for Teichmueller space is given.
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Citations
Cited by
Mazur, P. O., & Mottola, E. (1990) · Nuclear Physics B · doi:10.1016/0550-3213(90)90268-i · Cited by 165
Regularization dependence of vacuum energy in arbitrarily shaped cavities
Cognola, G., Vanzo, L., & Zerbini, S. (1992) · Journal of Mathematical Physics · doi:10.1063/1.529948 · Cited by 51
Metadata
- Authors
- D'Hoker, E., & Phong, D. H.
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 1986-05
- Volume
- 269
- Issue
- 1
- Pages
- 205-234
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W1972546185
- Cited by
- 252
- References
- 0
- FWCI
- 36.54
- Type
- journal article
- Language
- en
- Open access
- hybrid
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