Article thumbnail

Renormalization Transformations in the Vicinity of First-Order Phase Transitions: What Can and Cannot Go Wrong

By Aernout C.D. van Enter, Roberto Fernández and Alan D. Sokal

Abstract

We reconsider the conceptual foundations of the renormalization-group (RG) formalism. We show that the RG map, defined on a suitable space of interactions, is always single valued and Lipschitz continuous on its domain of definition. This rules out a recently proposed scenario for the RG description of first-order phase transitions. On the other hand, we prove in several cases that near a first-order phase transition the renormalized measure is not a Gibbs measure for any reasonable interaction. It follows that the conventional RG description of first-order transitions is not universally valid

Year: 1991
OAI identifier:
Provided by: NARCIS
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://www.loc.gov/mods/v3 (external link)
  • https://pure.rug.nl/ws/oai (external link)
  • https://pure.rug.nl/ws/files/1... (external link)
  • https://www.rug.nl/research/po... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.