https://doi.org/10.1140/epjc/s10052-020-8144-y
Regular Article - Theoretical Physics
Renormalization of scalar field theories in rational spacetime dimensions
Theoretical Physics Division, Department of Mathematical Sciences, University of Liverpool, P.O. Box 147, Liverpool, L69 3BX, UK
* e-mail: gracey@liv.ac.uk
Received:
16
May
2020
Accepted:
11
June
2020
Published online:
4
July
2020
We renormalize various scalar field theories with a self interaction such as , 7 and 9 in their respective critical dimensions which are non-integer. The renormalization group functions for the O(N) symmetric extensions are also computed.
© The Author(s), 2020