Anomalous aspects of chiral quantum gravity in two dimensions

Details Anomalous aspects of chiral quantum gravity in two dimensions Anomalous aspects of chiral quantum gravity in two dimensions

Mar 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991phrvd..43.1876b&link_type=abstract

Physical Review D (Particles and Fields), Volume 43, Issue 6, 15 March 1991, pp.1876-1882

Physics

Scientific paper

We study anomalous aspects of a theory in which a set of chiral fermions is coupled to gravity in two dimensions. We first give a perturbative derivation of the effective action in the conformal gauge. From this the complete fermion propagator is obtained in the path-integral formalism, and also from operator solutions. The fermion is shown to acquire an anomalous dimension purely by quantum effects, i.e., through interactions with scalars which are dynamical only after quantization. The renormalization of the theory is also discussed.

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