1999/07/23 by Ian Affleck, Shaojin Qin · 3 citations
Chemistry · Mathematics · Physics and Astronomy · #Antiferromagnetism #Boundary (topology) #Boundary value problem #Chemistry #Logarithm #Mathematical analysis #Mathematical physics #Mathematics #Operator (biology) #Operator product expansion #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Renormalization #Renormalization group #Sigma model #cond-mat.str-el
paper · pdf · doi:10.1088/0305-4470/32/45/301
11 pages, RevTex, 2 postscript figures, typos & references corrected
arxiv created 1999/07/23 · openalex publication_date 1999/10/28 · arxiv updated 2016/08/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The effect of a bulk marginal operator on boundary critical phenomena in two space-time dimensions is considered. The particular case of an open S = ½ antiferromagnetic Heisenberg chain, corresponding to a Wess-Zumino-Witten nonlinear model, is solved. In this case, the required renormalization group coefficient is associated with a novel operator product expansion in which three operators approach the same point. Resulting logarithmic corrections occurring in finite-size calculations and nuclear magnetic resonance experiments are discussed.