About: Conformal field theory complexity from Euler-Arnold equations

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An Entity of Type : schema:ScholarlyArticle, within Data Space : covidontheweb.inria.fr associated with source document(s)

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type	Academic Article research paper schema:ScholarlyArticle
isDefinedBy	Covid-on-the-Web dataset
title	Conformal field theory complexity from Euler-Arnold equations
Creator	Flory, Mario Heller, Michal
source	ArXiv
abstract	Defining complexity in quantum field theory is a difficult task, and the main challenge concerns going beyond free models and associated Gaussian states and operations. One take on this issue is to consider conformal field theories in 1+1 dimensions and our work is a comprehensive study of state and operator complexity in the universal sector of their energy-momentum tensor. The unifying conceptual ideas are Euler-Arnold equations and their integro-differential generalization, which guarantee well-posedness of the optimization problem between two generic states or transformations of interest. The present work provides an in-depth discussion of the results reported in arXiv:2005.02415 and techniques used in their derivation. Among the most important topics we cover are usage of differential regularization, solution of the integro-differential equation describing Fubini-Study state complexity and probing the underlying geometry.
has issue date	2020-07-22(xsd:dateTime)
has license	arxiv
sha1sum (hex)	671f6d12182c1d8097ada5427a03955288a91f37
resource representing a document's title	Conformal field theory complexity from Euler-Arnold equations
resource representing a document's body	covid:671f6d12182c1d8097ada5427a03955288a91f37#body_text
is schema:about of	named entity 'complexity' named entity 'transformations' named entity 'regularization' named entity 'quantum field theory' named entity 'Conformal field theory' »more»

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