The renormalization group in curved space

O'Connor, Denjoe and Stephens, C. R. (1992) The renormalization group in curved space. (Preprint)

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Abstract

The general features of the renormalization group (RG) in curved space are discussed. An explicit construction of such a group for Euclidean λϕ⁴ theory with O(n) internal symmetry group on R^(4-d) × S^d, where d ≤ 4 and S^d has a radius a, is given. This RG is generated by an infinitesimal generator which implements a coarse graining of the true degrees of freedom of the system. Thus it is more analogous to the block spin and lattice decimation RGs of statistical mechanics. Contrary to standard formulations of the RG in curved space which emphasize the ultraviolet physics it is explicitly a dependent.

Item Type:	Article
Divisions:	School of Theoretical Physics > Preprints
Date Deposited:	19 Jun 2018 14:13
Last Modified:	14 Dec 2022 15:21
URI:	https://dair.dias.ie/id/eprint/738

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