Explores ϕ^4 theory using nilpotent commuting variables, suggesting asymptotic freedom.
Bilinear composites of anticommuting constituents are even elements of a Grassmann algebra, which are nilpotent commuting variables (NCV). We study a ϕ^4 theory where the Fourier components of the ϕ-field are NCV and suggest that it is asymptotically free.
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Palumbo F. (1993) studied this question.
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