Field theory of disordered elastic interfaces at 3-loop order: Critical exponents and scaling functions

For disordered elastic manifolds in the ground state (equilibrium) we obtain the critical exponents for the roughness and the correction-to-scaling up to 3-loop order, i.e. third order in ε=4−d, where d is the internal dimension d. We also give the full 2-point function up to order ε2, i.e. at 2-loo...

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Main Authors: Christoph Husemann, Kay Jörg Wiese
Format: Article
Language:English
Published: Elsevier 2018-07-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321318301068
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spelling doaj-4266e36b229f4e549a743cd0ed9eb8ce2020-11-24T21:54:57ZengElsevierNuclear Physics B0550-32132018-07-01932589618Field theory of disordered elastic interfaces at 3-loop order: Critical exponents and scaling functionsChristoph Husemann0Kay Jörg Wiese1Carl Zeiss AG, Carl Zeiss Promenade 10, D-07745 Jena, GermanyCNRS-Laboratoire de Physique Théorique de l'Ecole Normale Supérieure, PSL Research University, Sorbonne Universités, UPMC, 24 rue Lhomond, 75005 Paris, FranceFor disordered elastic manifolds in the ground state (equilibrium) we obtain the critical exponents for the roughness and the correction-to-scaling up to 3-loop order, i.e. third order in ε=4−d, where d is the internal dimension d. We also give the full 2-point function up to order ε2, i.e. at 2-loop order.http://www.sciencedirect.com/science/article/pii/S0550321318301068
collection DOAJ
language English
format Article
sources DOAJ
author Christoph Husemann
Kay Jörg Wiese
spellingShingle Christoph Husemann
Kay Jörg Wiese
Field theory of disordered elastic interfaces at 3-loop order: Critical exponents and scaling functions
Nuclear Physics B
author_facet Christoph Husemann
Kay Jörg Wiese
author_sort Christoph Husemann
title Field theory of disordered elastic interfaces at 3-loop order: Critical exponents and scaling functions
title_short Field theory of disordered elastic interfaces at 3-loop order: Critical exponents and scaling functions
title_full Field theory of disordered elastic interfaces at 3-loop order: Critical exponents and scaling functions
title_fullStr Field theory of disordered elastic interfaces at 3-loop order: Critical exponents and scaling functions
title_full_unstemmed Field theory of disordered elastic interfaces at 3-loop order: Critical exponents and scaling functions
title_sort field theory of disordered elastic interfaces at 3-loop order: critical exponents and scaling functions
publisher Elsevier
series Nuclear Physics B
issn 0550-3213
publishDate 2018-07-01
description For disordered elastic manifolds in the ground state (equilibrium) we obtain the critical exponents for the roughness and the correction-to-scaling up to 3-loop order, i.e. third order in ε=4−d, where d is the internal dimension d. We also give the full 2-point function up to order ε2, i.e. at 2-loop order.
url http://www.sciencedirect.com/science/article/pii/S0550321318301068
work_keys_str_mv AT christophhusemann fieldtheoryofdisorderedelasticinterfacesat3loopordercriticalexponentsandscalingfunctions
AT kayjorgwiese fieldtheoryofdisorderedelasticinterfacesat3loopordercriticalexponentsandscalingfunctions
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