Divergent ⇒ complex amplitudes in two dimensional string theory

Author:

Sen AshokeORCID

Abstract

Abstract In a recent paper, Balthazar, Rodriguez and Yin found remarkable agreement between the one instanton contribution to the scattering amplitudes of two dimensional string theory and those in the matrix model to the first subleading order. The comparison was carried out numerically by analytically continuing the external energies to imaginary values, since for real energies the string theory result diverges. We use insights from string field theory to give finite expressions for the string theory amplitudes for real energies. We also show analytically that the imaginary parts of the string theory amplitudes computed this way reproduce the full matrix model results for general scattering amplitudes involving multiple closed strings.

Publisher

Springer Science and Business Media LLC

Subject

Nuclear and High Energy Physics

Reference27 articles.

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4. D.J. Gross and I.R. Klebanov, Fermionic string field theory of c = 1 two-dimensional quantum gravity, Nucl. Phys. B 352 (1991) 671 [INSPIRE].

5. I.R. Klebanov, String theory in two-dimensions, in proceedings of String theory and quantum gravity ’91, Trieste Spring School 1991, pp. 30–101 and Princeton University – PUPT-1271 (91/07,rec.Oct.) [hep-th/9108019] [INSPIRE].

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