Abstract
It is shown to one loop that a {lambda}{Phi}{sup 4} 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 dimensions. 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. 15 refs.
Citation Formats
Kubyshin, Yu A, O`Connor, D, and Stephens, C R.
Dimensional crossover from non-renormalizability to renormalizability.
JINR: N. p.,
1991.
Web.
Kubyshin, Yu A, O`Connor, D, & Stephens, C R.
Dimensional crossover from non-renormalizability to renormalizability.
JINR.
Kubyshin, Yu A, O`Connor, D, and Stephens, C R.
1991.
"Dimensional crossover from non-renormalizability to renormalizability."
JINR.
@misc{etde_10119537,
title = {Dimensional crossover from non-renormalizability to renormalizability}
author = {Kubyshin, Yu A, O`Connor, D, and Stephens, C R}
abstractNote = {It is shown to one loop that a {lambda}{Phi}{sup 4} 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 dimensions. 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. 15 refs.}
place = {JINR}
year = {1991}
month = {Dec}
}
title = {Dimensional crossover from non-renormalizability to renormalizability}
author = {Kubyshin, Yu A, O`Connor, D, and Stephens, C R}
abstractNote = {It is shown to one loop that a {lambda}{Phi}{sup 4} 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 dimensions. 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. 15 refs.}
place = {JINR}
year = {1991}
month = {Dec}
}