# $φ^4$ Field theory on a Lie group

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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

Author: M. V. Altaisky

Source: https://archive.org/