2004/06/30 by Thierry Lévy, James R. Norris · 1 citation
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics #math-ph #math.DG #math.MP #math.PR #msc:58D20 #msc:60F10 #msc:81T13
paper · pdf · doi:10.1007/s00220-005-1450-2
published as Commun.Math.Phys. 261 (2006) 405-450
arxiv created 2005/05/02 · openalex publication_date 2005/10/28 · crossref created 2005/10/28 · crossref issued 2005/10/29 · crossref published 2005/10/29 · crossref published-online 2005/10/29 · crossref published-print 2006/01/01 · arxiv updated 2016/08/16 · crossref deposited 2023/05/05 · openalex created_date 2025/10/10 · crossref indexed 2026/04/21 · openalex updated_date 2026/07/28
We prove the first mathematical result relating the Yang-Mills measure on a compact surface and the Yang-Mills energy. We show that, at the small volume limit, the Yang-Mills measures satisfy a large deviation principle with a rate function which is expressed in a simple and natural way in terms of the Yang-Mills energy.