New infinities in two-dimensional nonlinear sigma models and consistent string propagation

Das, Sumit R. ; Sathiapalan, B. (1986) New infinities in two-dimensional nonlinear sigma models and consistent string propagation Physical Review Letters, 57 (13). pp. 1511-1513. ISSN 0031-9007

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Official URL: http://prl.aps.org/abstract/PRL/v57/i13/p1511_1

Related URL: http://dx.doi.org/10.1103/PhysRevLett.57.1511

Abstract

We demonstrate the existence of new nonrenormalizable ultraviolet divergences in bosonic nonlinear sigma models with the target-space metric corresponding to weak transverse gravitational waves. These infinities arise when the loop expansion is summed to all orders. For string theories they correspond to couplings of gravitons to massive fields.

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