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Jensen K, O'Bannon A. Constraint on Defect and Boundary Renormalization Group Flows. Phys Rev Lett. 2016;116(9):091601doi: 10.1103/PhysRevLett.116.091601.
Jensen, K., & O'Bannon, A. (2016). Constraint on Defect and Boundary Renormalization Group Flows. Physical review letters, 116(9), 091601. https://doi.org/10.1103/PhysRevLett.116.091601
Jensen, Kristan, and O'Bannon, Andy. "Constraint on Defect and Boundary Renormalization Group Flows." Physical review letters vol. 116,9 (2016): 091601. doi: https://doi.org/10.1103/PhysRevLett.116.091601
Jensen K, O'Bannon A. Constraint on Defect and Boundary Renormalization Group Flows. Phys Rev Lett. 2016 Mar 04;116(9):091601. doi: 10.1103/PhysRevLett.116.091601. Epub 2016 Mar 03. PMID: 26991169.
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Phys Rev Lett. 2016 Mar 04;116(9):091601. doi: 10.1103/PhysRevLett.116.091601. Epub 2016 Mar 03.

Constraint on Defect and Boundary Renormalization Group Flows.

Physical review letters

Kristan Jensen, Andy O'Bannon

Affiliations

  1. C.N. Yang Institute for Theoretical Physics, SUNY Stony Brook, Stony Brook, New York 11794, USA.
  2. Rudolf Peierls Centre for Theoretical Physics, University of Oxford, 1 Keble Road, Oxford OX1 3NP, United Kingdom.

PMID: 26991169 DOI: 10.1103/PhysRevLett.116.091601

Abstract

A conformal field theory (CFT) in dimension d≥3 coupled to a planar, two-dimensional, conformal defect is characterized in part by a "central charge" b that multiplies the Euler density in the defect's Weyl anomaly. For defect renormalization group flows, under which the bulk remains critical, we use reflection positivity to show that b must decrease or remain constant from the ultraviolet to the infrared. Our result applies also to a CFT in d=3 flat space with a planar boundary.

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