3D Ising model: a view from the conformal bootstrap island
| Autor: | Slava Rychkov |
|---|---|
| Přispěvatelé: | Institut des Hautes Etudes Scientifiques (IHES), IHES, Champs, Gravitation et Cordes, Laboratoire de physique de l'ENS - ENS Paris (LPENS (UMR_8023)), École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université de Paris (UP)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université de Paris (UP), Laboratoire de physique de l'ENS - ENS Paris (LPENS), Centre National de la Recherche Scientifique (CNRS)-Université de Paris (UP)-Sorbonne Université (SU)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-Université de Paris (UP)-Sorbonne Université (SU)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL) |
| Rok vydání: | 2020 |
| Předmět: |
High Energy Physics - Theory
invariance: conformal bootstrap: conformal dimension: 3 Critical phenomena [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph] FOS: Physical sciences General Physics and Astronomy Conformal map Parameter space 01 natural sciences 010305 fluids & plasmas Conformal symmetry Mathematics - Quantum Algebra Ising model 0103 physical sciences FOS: Mathematics Quantum Algebra (math.QA) correlation function Statistical physics 010306 general physics Mathematical Physics Condensed Matter - Statistical Mechanics Mathematics field theory: conformal Statistical Mechanics (cond-mat.stat-mech) Conformal field theory Probability (math.PR) Mathematical Physics (math-ph) critical phenomena 16. Peace & justice [PHYS.PHYS.PHYS-GEN-PH]Physics [physics]/Physics [physics]/General Physics [physics.gen-ph] Correlation function (statistical mechanics) High Energy Physics - Theory (hep-th) Critical exponent Mathematics - Probability |
| Zdroj: | Comptes Rendus Physique Comptes Rendus Physique, 2020, 21 (2), pp.185-198. ⟨10.5802/crphys.23⟩ |
| ISSN: | 1878-1535 |
| DOI: | 10.5802/crphys.23 |
| Popis: | We explain how the axioms of Conformal Field Theory are used to make predictions about critical exponents of continuous phase transitions in three dimensions, via a procedure called the conformal bootstrap. The method assumes conformal invariance of correlation functions, and imposes some relations between correlation functions of different orders. Numerical analysis shows that these conditions are incompatible unless the critical exponents take particular values, or more precisely that they must belong to a small island in the parameter space. Comment: 16 pages, 3 figures, accepted for publication by C.R.Physique |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|