Can I read $\phi^4$ Field theory on a Lie group on EtoBox?

$\phi^4$ Field theory on a Lie group by Altaisky, M. V. is a scholarly article available to read on EtoBox.

What is $\phi^4$ Field theory on a Lie group about?

The $\phi^4$ field model is generalized to the case when the field $\phi(x)$ is defined on a Lie group: $S[\phi]=\int_{x\in G} L[\phi(x)] d\mu(x)$, $d\mu(x)$ is the left-invariant measure on a locally compact group $G$. For the particular case of the affine group $G:x'=ax+b,a\in\R_+, x,b \in \R^n$ t he Feynman perturbation expansion for the Green functions is shown to have no ultra-violet divergences for certain choice of $\lambda(a) \sim a^\nu$.

Author

Altaisky, M. V.

Published

2000

Language

EN