English

Integrability and Scheme-Independence of Even Dimensional Quantum Geometry Effective Action

High Energy Physics - Theory 2009-10-31 v3 General Relativity and Quantum Cosmology

Abstract

We investigate how the integrability conditions for conformal anomalies constrain the form of the effective action in even-dimensional quantum geometry. We show that the effective action of four-dimensional quantum geometry (4DQG) satisfying integrability has a manifestly diffeomorphism invariant and regularization scheme-independent form. We then generalize the arguments to six dimensions and propose a model of 6DQG. A hypothesized form of the 6DQG effective action is given.

Keywords

Cite

@article{arxiv.hep-th/0012053,
  title  = {Integrability and Scheme-Independence of Even Dimensional Quantum Geometry Effective Action},
  author = {Ken-ji Hamada},
  journal= {arXiv preprint arXiv:hep-th/0012053},
  year   = {2009}
}

Comments

Latex, 26 pages. errors in some sentences and typo corrected