Related papers: Free energy in the Sherrington-Kirkpatrick model w…

This paper has been retracted, for obvious reasons.

This paper has been withdrawn due to submission of subsequent versions as a new preprint

A formula for the magnetostatic energy of a finite magnet is proven. In contrast to common approaches, the new energy identity does not rely on evaluation of a nonlocal boundary integral inside the magnet or the solution of an equivalent…

This paper has been withdrawn by the authors due to an error.

Using the approach alternative to the traditional Thermodynamic Bethe Ansatz, we derive analytical expressions for the free energy of Coqblin-Schrieffer model with arbitrary magnetic and crystal fields. In Appendix we discuss two concrete…

This paper has been withdrawn by the author due to a crucial mistakes.

This paper has been withdrawn by the author for further investigation.

We analyze the free energy and the overlaps in the 2-spin spherical Sherrington Kirkpatrick spin glass model with an external field for the purpose of understanding the transition between this model and the one without an external field. We…

This paper has been withdrawn

This paper was withdrawn by the author due to an edition's rights

This paper has been withdrawn by the author because there are some typos in proofs.

This paper has been withdrawn.

We consider the Sherrington-Kirkpatrick model and we prove that the thermodynamic limit of the quenched free energy per site is strictly greater than the corresponding replica symmetric approximation, for all values of the temperature and…

This paper has been withdrawn by the author.

The paper has been withdrawn by the author due to a crucial error.

The paper has been withdrawn by the authors. The contents of the paper will be used in a future communication which will contain major addition and shift of focus.

This paper has been withdrawn by the authors. Our basic argument on the gauge invariance presented in this paper cannot withstand the criticism which has been drawn to our attention by several colleagues.

This paper is withdrawn by the author. See math.GT/9811093 for replacement.

The paper is withdrawn by the author due to an oversimplified and misleading approach which was taken initially as a starting point.

This work proves an upper bound for the free energy of the Sherrington-Kirkpatrick model and its generalizations in terms of the Thouless-Anderson-Palmer (TAP) energy. The result applies to models with spherical or Ising spins and any mixed…