Abstract
The Kirchhoff's matrix-tree theorem which contained a large class of combinatorial ojbects represented by non-Gaussian Grassmann integrals was discussed. It was shown that unrooted spanning forests, which arise as a q→0 limit of the Potts model, can be represented by a Grassmann theory involving a Gaussian term and a particular bilocal four-fermion term. This fermionic model due to its simplicity, was found to be the most viable candidate for a rigorous nonperturbative proof of asymptotic freedom. The results show that in two dimensions, this fermionic model is perturbatively asymptotically free.
Original language | English (US) |
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Article number | 080601 |
Pages (from-to) | 080601-1-080601-4 |
Journal | Physical Review Letters |
Volume | 93 |
Issue number | 8 |
DOIs | |
State | Published - Aug 20 2004 |
ASJC Scopus subject areas
- General Physics and Astronomy