Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/221321
Title: Defects, rigid holography, and C -theorems
Author: Bolla, Ignacio
Rodriguez-Gomez, Diego
Russo, J. G. (Jorge Guillermo)
Keywords: Electrodinàmica
Teoria quàntica de camps
Electrodynamics
Quantum field theory
Issue Date: 2023
Publisher: American Physical Society
Abstract: 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.
Note: Reproducció del document publicat a: https://doi.org/10.1103/PhysRevD.108.L041701
It is part of: Physical Review D, 2023, vol. 108, num.L041701
URI: https://hdl.handle.net/2445/221321
Related resource: https://doi.org/10.1103/PhysRevD.108.L041701
ISSN: 2470-0010
Appears in Collections:Articles publicats en revistes (Física Quàntica i Astrofísica)
Articles publicats en revistes (Institut de Ciències del Cosmos (ICCUB))

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