This theoretical analysis demonstrates asymptotic freedom in ϕ^4 theory with nilpotent variables, suggesting new insights into quantum field behavior.
Bilinear composities of anticommuting constituents are even elements of a Grassmann algebra, which are nilpotent commuting (NC) variables. We study a ϕ^4 theory where the ϕ field has NC Fourier components and we find that it is asymptotically free.
No takes yet. Share an insight, caveat, or question.
Palumbo F. (1994) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: