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Communications in Mathematical Physics

, Volume 314, Issue 3, pp 807–816 | Cite as

Rotational Invariance of the 2d Spin – Spin Correlation Function

  • Haru PinsonEmail author
Article

Abstract

At the critical temperature in the 2d Ising model on the square lattice, we establish the rotational invariance of the spin-spin correlation function using the asymptotics of the spin-spin correlation function along special directions (McCoy and Wu in the two dimensional Ising model. Harvard University Press, Cambridge, 1973) and the finite difference Hirota equation for which the spin-spin correlation function is shown to satisfy (Perk in Phys Lett A 79:3–5, 1980; Perk in Proceedings of III international symposium on selected topics in statistical mechanics, Dubna, August 22–26, 1984, JINR, vol II, pp 138–151, 1985).

Keywords

Correlation Function Critical Temperature Special Direction Minimum Principle Rotational Invariance 
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Copyright information

© Springer-Verlag 2012

Authors and Affiliations

  1. 1.Pima Community CollegeTucsonUSA

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