English

Nonperturbative path integral of 2d dilaton gravity and two-loop effects from scalar matter

High Energy Physics - Theory 2009-10-30 v1 General Relativity and Quantum Cosmology

Abstract

Performing an nonperturbative path integral for the geometric part of a large class of 2d theories without kinetic term for the dilaton field, the quantum effects from scalar matter fields are treated as a perturbation. When integrated out to two-loops they yield a correction to the Polyakov term which is still exact in the geometric part. Interestingly enough the effective action only experiences a renormalization of the dilaton potential.

Keywords

Cite

@article{arxiv.hep-th/9707115,
  title  = {Nonperturbative path integral of 2d dilaton gravity and two-loop effects from scalar matter},
  author = {W. Kummer and H. Liebl and D. V. Vassilevich},
  journal= {arXiv preprint arXiv:hep-th/9707115},
  year   = {2009}
}

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15 pages