ar X iv : h ep - t h / 00 07 18 0 v 2 1 4 Se p 20 00 φ 4 - Field theory on a Lie group
نویسنده
چکیده
The φ 4 field model is generalized to the case when the field φ(x) is defined on a Lie group: S[φ] = x∈G L[φ(x)]dµ(x), dµ(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 ∈ R+, x, b ∈ R n the Feynman perturbation expansion for the Green functions is shown to have no ultraviolet divergences for certain choice of λ(a) ∼ a ν .
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