Two-point String Amplitudes Revisited by Operator Formalism

Abstract

So far we have considered that a two-point string amplitude vanishes due to the infinite volume of residual gauge symmetry. However recently Erbin-Maldacena-Skliros have suggested that the two-point amplitude can have non-zero value, because one can cancel the infinite volume by the infinity coming from on-shell energy conservation. They derived the two-point function by Fadeev-Popov method. In this paper we revisit this two-point string amplitude in the operator formalism. We find the mostly BRST exact operator which yields non-zero two-point amplitudes.

8 pages; v2: the normalization of ${\mathcal{V}}_0$ is fixed, the conclusion does not change; v3: the discussion about closed string is modified, comments on n-point amplitude are added, refs added, version for publication

References in corpus (1)

• Two-Point String Amplitudes

Cited by in corpus (7)

• String Field Theory -- A Modern Introduction
• Comments on the two-point string amplitudes
• Two-Point Superstring Tree Amplitudes Using the Pure Spinor Formalism
• Handle Operators in String Theory
• The Veneziano Amplitude via Mostly BRST Exact Operator
• Closed string vertex operators with various ghost number
• Reduction of Open String Amplitudes by Mostly BRST Exact Operators