Corrections to the critical temperature in 2D Ising systems with Kac potentials |
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| Authors: | M Cassandro R Marra E Presutti |
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| Institution: | (1) Dipartimento di Fisica, Università di Roma  La Sapienza , 00185 Rome, Italy;(2) Dipartimento di Fisica, Università di Roma Tor Vergata, 00133 Rome, Italy;(3) Dipartimento di Matematica, Università di Roma Tor Vergata, 00133 Rome, Italy |
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| Abstract: | We consider ad=2 Ising system with a Kac potential whose mean-field critical temperature is 1. Calling  >0 the Kac parameter, we prove that there existsc
*>0 so that the true inverse critical temperature  cr() > 1 +by
2 log -1, for anyb<c
* and correspondingly small. We also show that if  0 andbc
*, suitably, then the correlation functions (normalized and rescaled) converge to those of a non-Gaussian Euclidean field theory. |
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| Keywords: | Kac potential Ising model critical fluctuations Euclidean field theory |
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