Defects, rigid holography, and C -theorems

We consider a general unitary scalar conformal field theory with a linear defect in D ¼ 4 − ϵ and a surface defect in D ¼ 6 − ϵ. Using holography and the Hamilton-Jacobi formalism, we show that the β functions controlling the defect renormalization group (RG) flow are the gradient of the entropy fun...

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Authors: Bolla, Ignacio, Rodriguez-Gomez, Diego, Russo, J. G. (Jorge Guillermo)
Format: article
Status:Published version
Publication Date:2023
Country:España
Institution:Universidad de Barcelona
Repository:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/221321
Online Access:https://hdl.handle.net/2445/221321
Access Level:Open access
Keyword:Electrodinàmica
Teoria quàntica de camps
Electrodynamics
Quantum field theory
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spelling Defects, rigid holography, and C -theoremsBolla, IgnacioRodriguez-Gomez, DiegoRusso, J. G. (Jorge Guillermo)ElectrodinàmicaTeoria quàntica de campsElectrodynamicsQuantum field theoryWe consider a general unitary scalar conformal field theory with a linear defect in D ¼ 4 − ϵ and a surface defect in D ¼ 6 − ϵ. Using holography and the Hamilton-Jacobi formalism, we show that the β functions controlling the defect renormalization group (RG) flow are the gradient of the entropy function. This allows the proof that the relevant C-functions decrease monotonically along the RG flow. We provide evidence that this property also holds in the full quantum theory for general scalar field theories. An obstruction to the gradient property seems to appear at two-loop order when fermions are added.American Physical Society2023info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://hdl.handle.net/2445/221321Articles publicats en revistes (Física Quàntica i Astrofísica)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésReproducció del document publicat a: https://doi.org/10.1103/PhysRevD.108.L041701Physical Review D, 2023, vol. 108, num.L041701https://doi.org/10.1103/PhysRevD.108.L041701(c) American Physical Society, 2023info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/2213212026-05-27T06:46:51Z
dc.title.none.fl_str_mv Defects, rigid holography, and C -theorems
title Defects, rigid holography, and C -theorems
spellingShingle Defects, rigid holography, and C -theorems
Bolla, Ignacio
Electrodinàmica
Teoria quàntica de camps
Electrodynamics
Quantum field theory
title_short Defects, rigid holography, and C -theorems
title_full Defects, rigid holography, and C -theorems
title_fullStr Defects, rigid holography, and C -theorems
title_full_unstemmed Defects, rigid holography, and C -theorems
title_sort Defects, rigid holography, and C -theorems
dc.creator.none.fl_str_mv Bolla, Ignacio
Rodriguez-Gomez, Diego
Russo, J. G. (Jorge Guillermo)
author Bolla, Ignacio
author_facet Bolla, Ignacio
Rodriguez-Gomez, Diego
Russo, J. G. (Jorge Guillermo)
author_role author
author2 Rodriguez-Gomez, Diego
Russo, J. G. (Jorge Guillermo)
author2_role author
author
dc.subject.none.fl_str_mv Electrodinàmica
Teoria quàntica de camps
Electrodynamics
Quantum field theory
topic Electrodinàmica
Teoria quàntica de camps
Electrodynamics
Quantum field theory
description We consider a general unitary scalar conformal field theory with a linear defect in D ¼ 4 − ϵ and a surface defect in D ¼ 6 − ϵ. Using holography and the Hamilton-Jacobi formalism, we show that the β functions controlling the defect renormalization group (RG) flow are the gradient of the entropy function. This allows the proof that the relevant C-functions decrease monotonically along the RG flow. We provide evidence that this property also holds in the full quantum theory for general scalar field theories. An obstruction to the gradient property seems to appear at two-loop order when fermions are added.
publishDate 2023
dc.date.none.fl_str_mv 2023
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/221321
url https://hdl.handle.net/2445/221321
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció del document publicat a: https://doi.org/10.1103/PhysRevD.108.L041701
Physical Review D, 2023, vol. 108, num.L041701
https://doi.org/10.1103/PhysRevD.108.L041701
dc.rights.none.fl_str_mv (c) American Physical Society, 2023
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) American Physical Society, 2023
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv Articles publicats en revistes (Física Quàntica i Astrofísica)
reponame:Dipòsit Digital de la UB
instname:Universidad de Barcelona
instname_str Universidad de Barcelona
reponame_str Dipòsit Digital de la UB
collection Dipòsit Digital de la UB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.811543

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