The geometric β-function in curved space-time under operator regularization
Journal Article
·
· Journal of Mathematical Physics
- Mathematical Institute, Oxford University, Oxford OX2 6GG (United Kingdom)
In this paper, I compare the generators of the renormalization group flow, or the geometric β-functions, for dimensional regularization and operator regularization. I then extend the analysis to show that the geometric β-function for a scalar field theory on a closed compact Riemannian manifold is defined on the entire manifold. I then extend the analysis to find the generator of the renormalization group flow to conformally coupled scalar-field theories on the same manifolds. The geometric β-function in this case is not defined.
- OSTI ID:
- 22403156
- Journal Information:
- Journal of Mathematical Physics, Vol. 56, Issue 6; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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