Superinstantons and the Reliability of Perturbation Theory in Non-Abelian Models
نویسندگان
چکیده
منابع مشابه
Superinstantons and the reliability of perturbation theory in non-Abelian models.
In dimension D ≤ 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/β)....
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In gauge theories with continuous groups there exist classical solutions whose energy vanishes in the thermodynamic limit (in any dimension). The existence of these super-instantons is intimately related to the fact that even at short distances perturbation theory can fail to produce unique results. This problem arises only in non-Abelian models and only starting at O(1/β). Permanent address: P...
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We show, by explicit computation, that bare lattice perturbation theory in the two-dimensional O(n) nonlinear σ models with superinstanton boundary conditions is divergent in the limit of an infinite number of points |Λ|. This is the analogue of David’s statement that renormalized perturbation theory of these models is infrared divergent in the limit where the physical size of the box tends to ...
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We analyze the arguments put forward recently by Niedermayer et al in favor of the correctness of conventional perturbation theory in nonAbelian models and supposedly showing that our super-instanton counterexample was sick. We point out that within their own set of assumptions, the proof of Niedermayer et al regarding the correctness of perturbation theory is incorrect and provide a correct pr...
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 1995
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.74.1920