Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1993-11-18
Phys.Rev.Lett. 74 (1995) 1920-1923
Physics
High Energy Physics
High Energy Physics - Lattice
8 pages, plain LaTeX, MPI-Ph/93-87 and AZPH-TH/93-33
Scientific paper
10.1103/PhysRevLett.74.1920
In dimension $D\leq 2$ the low temperature behavior of systems enjoying a continuous symmetry is dominated by super-instantons: classical configurations of arbitrarily low energy. Perturbation theory in the background of a super-instanton produces thermodynamic answers for the invariant Green's functions that differ from the standard ones, but only in non-Abelian models and only starting at $O(1/\beta^2)$. This effect modifies the $\beta$-function of the $O(N)$ models and persists in the large $N$ limit of the $O(N)$ models.
Patrascioiu Adrian
Seiler Erhard
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