Anomalous U(1) Vortices and the Dilaton

Details Anomalous U(1) Vortices and the Dilaton Anomalous U(1) Vortices and the Dilaton

Apr 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001fpu..conf..284c&link_type=abstract

FROM PARTICLES TO THE UNIVERSE. Proceedings of the Fifteenth Lake Louise Winter Institute. Held 20-26 February 2000 in Lake Loui

Physics

Scientific paper

The role of the (dynamical) dilaton in the vortices associated with the spontaneous breaking of an anomalous U(1) from heterotic string theory is examined. We demonstrate how the anomaly (and the coupling to the dilaton-axion) can appear in the Lagrangian and associated field equations as a controlled perturbation about the standard Nielsen-Olesen equations. In such a picture, the additional field equation for the dilaton becomes a series of corrections to a constant dilaton VEV as the anomaly is turned on. In particular we find that even the first non-trivial correction to a constant dilaton genetically leads to a (positive) logarithmic divergence of the heterotic dilaton near the vortex core. Since the dilaton field governs the strength of quantum fluctuations in string theory, this runaway behavior implies that anomalous U(1) vortices in string theory are intrinsically quantum mechanical objects.

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