Functional renormalization group approach to the Yang-Lee edge singularity

An, X.; Mesterházy, D.; Stephanov, M. A.

doi:10.1007/JHEP07(2016)041

Functional renormalization group approach to the Yang-Lee edge singularity

Journal Article · Fri Jul 08 00:00:00 EDT 2016 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP07(2016)041· OSTI ID:1361392

An, X. ^[1]; Mesterházy, D. ^[2]; Stephanov, M. A. ^[3]

Univ. of Illinois, Chicago, IL (United States); Department of Physics, University of Illinois at Chicago, 845 W. Taylor St., Chicago, IL 60607, U.S.A.
Univ. of Bern, Bern (Switzerland)
Univ. of Illinois, Chicago, IL (United States)

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.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Illinois at Chicago, Chicago, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)

Grant/Contract Number:: FG02-01ER41195

OSTI ID:: 1361392

Alternate ID(s):: OSTI ID: 22610215

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 7 Vol. 2016; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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