Lee-Yang model from the functional renormalization group

Abstract

We investigate the critical properties of the Lee-Yang model in less than six spacetime dimensions using truncations of the functional renormalization group flow. We give estimates for the critical exponents, study the dependence on the regularization scheme, and show the convergence of our results for increasing size of the truncations in four and five dimensions. While with our truncations it is numerically challenging to approach the three-dimensional case, we provide a simple approximation which allows us to qualitatively study the Lee-Yang model in two and three dimensions, and use it to argue the existence of further nonunitary multicritical theories including one which is relevant for the universality class of the Blume-Capel model.

10 pages, 12 figures; v2: matches published version

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• Leading CFT constraints on multi-critical models in d>2
• Global Wilson-Fisher fixed points
• Functional perturbative RG and CFT data in the $\epsilon$-expansion
• $\mathcal{P}\mathcal{T}$-symmetric, non-Hermitian quantum many-body physics -- a methodological perspective
• New universality class in three dimensions: The critical Blume-Capel model
• On spinodal points and Lee-Yang edge singularities
• A functional perspective on emergent supersymmetry
• Universal location of Yang-Lee edge singularity for a one-component field theory in $1\le d\le 4$
• Leading order CFT analysis of multi-scalar theories in d>2
• Universal location of Yang-Lee edge singularity in classic O(N) universality classes
• Scaling solutions in the derivative expansion
• Ginzburg-Landau Description and Emergent Supersymmetry of the $(3,8)$ Minimal Model
• Operator product expansion coefficients in the exact renormalization group formalism
• Functional flows for complex effective actions
• Platonic Field Theories
• Functional RG approach to the Potts model
• Renormalization group flows and fixed points for a scalar field in curved space with nonminimal $F(\varphi )R$ coupling
• Renormalization of multicritical scalar models in curved space
• Testing the RG-flow $M(3,10)+{\varphi }_{1,7}\to M(3,8)$ with Hamiltonian Truncation
• The fate of non-supersymmetric Gross-Neveu-Yukawa fixed point in two dimensions
• Experimental validation of nonextensive statistical field theory: applications to manganites
• Extrapolation from hypergeometric functions, continued functions and Borel-Leroy transformation; Resummation of perturbative renormalization functions from field theories
• Is Kaniadakis $\kappa$-generalized statistical mechanics general?
• Tunable tachyon mass in the PT-broken massive Thirring model
• RG and logarithmic CFT multicritical properties of randomly diluted Ising models
• Sphere free energy of scalar field theories with cubic interactions
• Nonextensive percolation and Lee-Yang edge singularity from nonextensive $\lambda {\varphi }^3$ scalar field theory
• Renormalization Flow of Nonlinear Electrodynamics
• Anomalous dimensions from conformal field theory: Generalized ${\varphi }^{2n+1}$ theories
• Is ${\gamma }_{KLS}$-generalized statistical field theory complete?
• Renormalization of supersymmetric chiral theories in rational spacetime dimensions
• Critical and multicritical Lee-Yang fixed points in the local potential approximation
• On the completeness of the ${\delta }_{KLS}$-generalized statistical field theory