Dimensional Reduction and the Non-triviality of λϕ⁴ in Four Dimensions at High Temperature

O'Connor, Denjoe and Stephens, C. R. and Freire, F. (1992) Dimensional Reduction and the Non-triviality of λϕ⁴ in Four Dimensions at High Temperature. (Preprint)

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Abstract

It is shown to one loop that a λϕ⁴ theory contracts from being a non-renormalizable theory above four dimensions to a renormalizable theory in the limit of zero size of the additional dimensions above four. This provides an example of the decoupling of an infinite number of modes in the infrared domain of the theory. The results have applications to statistical mechanical systems above the critical point in the context of finite size effects, and Kaluza Klein theories in high energy physics.

Item Type:	Article
Divisions:	School of Theoretical Physics > Preprints
Date Deposited:	19 Jun 2018 14:18
Last Modified:	17 Dec 2022 10:08
URI:	https://dair.dias.ie/id/eprint/723

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