Running Scaling Dimensions in Holographic Renormalization Group Flows
Wolfgang Mueck
TL;DR
This paper proposes a formula for the running scaling dimensions of gauge-invariant operators in holographic RG flows, applicable to both AdS/CFT and non-AdS/non-CFT scenarios, enhancing understanding of effective field theories.
Contribution
It introduces a new formula for the running scaling dimensions in holographic RG flows, extending applicability beyond traditional AdS/CFT contexts.
Findings
The formula is validated with simple AdS/CFT examples.
Applicable to non-AdS/non-CFT cases.
Provides insights into effective field theory interpretations.
Abstract
Holographic renormalization group flows can be interpreted in terms of effective field theory. Based on such an interpretation, a formula for the running scaling dimensions of gauge-invariant operators along such flows is proposed. The formula is checked for some simple examples from the AdS/CFT correspondence, but can be applied also in non-AdS/non-CFT cases.
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