A scaling theory for the long-range to short-range crossover and an infrared duality

DOI10.1088/1751-8121/AA8099zbMATH Open1376.82012arXiv1703.05325OpenAlexW2605411073MaRDI QIDQ5363389

Author name not available (Why is that?)

Publication date: 6 October 2017

Published in: (Search for Journal in Brave)

Abstract: We study the second-order phase transition in the $d$-dimensional Ising model with long-range interactions decreasing as a power of the distance $1/r^{d+s}$. For $s$ below some known value $s_{*}$, the transition is described by a conformal field theory without a local stress tensor operator, with critical exponents varying continuously as functions of $s$. At $s=s_{*}$, the phase transition crosses over to the short-range universality class. While the location $s_{*}$ of this crossover has been known for 40 years, its physics has not been fully understood, the main difficulty being that the standard description of the long-range critical point is strongly coupled at the crossover. In this paper we propose another field-theoretic description which, on the contrary, is weakly coupled near the crossover. We use this description to clarify the nature of the crossover and make predictions about the critical exponents. That the same long-range critical point can be reached from two different UV descriptions provides a new example of infrared duality.

Full work available at URL: https://arxiv.org/abs/1703.05325

zbMATH Keywords

No records found.

Mathematics Subject Classification ID

No records found.

This page was built for publication: A scaling theory for the long-range to short-range crossover and an infrared duality

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q5363389)