Abstract
We show and give the linear differential operators of order , for the integrals which appear in the two-point correlation scaling function of Ising model . The integrals are given in expansion around in the basis of the formal solutions of with transcendental combination coefficients. We find that the expression is a solution of the Painlevé VI equation in the scaling limit. Combinations of the (analytic at ) solutions of sum to . We show that the expression is the scaling limit of the correlation function and . The differential Galois groups of the factors occurring in the operators are given.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Journal of Physics A: Mathematical and Theoretical
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
