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Title: Functional renormalization group approach to the Yang-Lee edge singularity

Here, we determine the scaling properties of the Yang-Lee edge singularity as described by a one-component scalar field theory with imaginary cubic coupling, using the nonperturbative functional renormalization group in 3 ≤ d ≤ 6 Euclidean dimensions. We find very good agreement with high-temperature series data in d = 3 dimensions and compare our results to recent estimates of critical exponents obtained with the four-loop ϵ = 6 - d expansion and the conformal bootstrap. The relevance of operator insertions at the corresponding fixed point of the RG β functions is discussed and we estimate the error associated with O(∂ 4) truncations of the scale-dependent effective action.
Authors:
 [1] ;  [2] ;  [1]
  1. Univ. of Illinois, Chicago, IL (United States)
  2. Univ. of Bern, Bern (Switzerland)
Publication Date:
Grant/Contract Number:
FG02-01ER41195
Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 7; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Research Org:
Univ. of Illinois at Chicago, Chicago, IL (United States)
Sponsoring Org:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; field theories in higher dimensions; renormalization group; nonperturbative effects
OSTI Identifier:
1361392