Beta functions and S-matrix in string theory

Ram Brustein, Dennis Nemeschansky, Shimon Yankielowicz

Research output: Contribution to journalArticlepeer-review

53 Scopus citations


The relationship between sigma model β-functions and string theory scattering amplitudes is proved. We derive our results for the closed bosonic string using the weak field expansion around the flat space. The equations of motion for all the background fields, including the heavy fields are considered. We show that the effective equations for the light fields are obtained by integrating out the heavy fields. It is shown that the contributions to the β-functions come from the boundary of moduli space on a punctured Riemann surface. String loop corrections to the equations of motion are also studied.

Original languageEnglish
Pages (from-to)224-246
Number of pages23
JournalNuclear Physics B
Issue number2
StatePublished - 2 May 1988
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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