The ultraviolet stability and its relation to the rarefied polymer theory are analyzed for the hierarchical Markov fields in d=1, 2 space dimensions. We present a complete derivation of an upper bound to the ground state energy and we give a detailed sketch of the procedure for obtaining a lower bound with the same technique employed to derive the upper bound. © 1979 Nicola Zanichelli Editore.
On the ultraviolet stability in statistical mechanics and field theory / Gallavotti, Giovanni. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 0373-3114. - STAMPA. - 120:1(1979), pp. 1-23. [10.1007/bf02411937]
On the ultraviolet stability in statistical mechanics and field theory
GALLAVOTTI, Giovanni
1979
Abstract
The ultraviolet stability and its relation to the rarefied polymer theory are analyzed for the hierarchical Markov fields in d=1, 2 space dimensions. We present a complete derivation of an upper bound to the ground state energy and we give a detailed sketch of the procedure for obtaining a lower bound with the same technique employed to derive the upper bound. © 1979 Nicola Zanichelli Editore.File allegati a questo prodotto
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