Abstract
We present an analytic Migdal - Kadanoff renormalization group analysis of the random field Ising model. The renormalization flows to a zero-temperature critical point, from which we calculate independently three critical exponents in arbitrary dimension. In three dimensions the magnetization exponent , and the Schwartz - Soffer inequality is almost satisfied as an equality. Expanding analytically in we find that and the distance from the upper bound of the equality go to zero exponentially with .
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 callDisclaimer: 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.
