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Chiral fermions on 2D curved spacetimes. (arXiv:1608.06899v2 [hep-th] UPDATED)
来源于:arXiv
The theory of free Majorana-Weyl spinors is the prototype of conformal field
theory in two dimensions in which the gravitational anomaly and the Weyl
anomaly obstruct extending the flat spacetime results to curved backgrounds. In
this paper, we investigate a quantization scheme in which the short distance
singularity in the two-point function of chiral fermions on a two dimensional
curved spacetime is given by the Green's function corresponding to the
classical field equation. We compute the singular term in the Green's function
explicitly and observe that the short distance limit is not well-defined in
general. We identify constraints on the geometry which are necessary to resolve
this problem. On such special backgrounds the theory has locally
$c=\frac{1}{2}$ conformal symmetry. 查看全文>>