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Open Quantum Systems Decoherence Quantum Simulation Entanglement Theory Quantum Correlations

Renormalization Group Flows, the a-Theorem and Conformal Bootstrap

arXiv
Authors: Sandipan Kundu

Year

2019

Paper ID

39750

Status

Preprint

Abstract Read

~2 min

Abstract Words

122

Citations

N/A

Abstract

Every renormalization group flow in d spacetime dimensions can be equivalently described as spectral deformations of a generalized free CFT in (d-1) spacetime dimensions. This can be achieved by studying the effective action of the Nambu-Goldstone boson of broken conformal symmetry in anti-de Sitter space and then taking the flat space limit. This approach is particularly useful in even spacetime dimension where the change in the Euler anomaly aUV-aIR can be related to anomalous dimensions of lowest twist multi-trace operators in the dual CFT. As an application, we provide a simple proof of the 4d a-theorem using the dual description. Furthermore, we reinterpret the statement of the a-theorem in 6d as a conformal bootstrap problem in 5d.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2019 reference point for readers tracking recent quantum research.
  • Every renormalization group flow in d spacetime dimensions can be equivalently described as spectral deformations of a generalized free CFT in (d-1) spacetime dimensions.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1912.09479 [2] arXiv https://arxiv.org/abs/1912.09479 [3] Publisher https://arxiv.org/abs/1912.09479

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