Universal location of Yang-Lee edge singularity for a one-component field theory in $1\le d\le 4$

Abstract

We determine the universal location of the Yang-Lee edge singularity in the entire relevant domain of spatial dimensions $1\le d\le 4$ for the Ising universality class. To that end, we present analytical results for $d=1,2,4$ and near four dimensions. For $d=3$ and a set of fractional dimensions, we perform numerical calculations using a systematic Functional Renormalization Group approach.

42 pages, 4 figures, 2 tables; version accepted for publication

References in corpus (12)

• Exact evolution equation for the effective potential
• Ising exponents from the functional renormalisation group
• Critical exponents of the 3d Ising and related models from Conformal Bootstrap
• QCD Critical Point and Complex Chemical Potential Singularities
• Five loop renormalization of ${\varphi }^3$ theory with applications to the Lee-Yang edge singularity and percolation theory
• Critical exponents of O(N) models in fractional dimensions
• High-accuracy scaling exponents in the local potential approximation
• Critical $O(N)$ models in the complex field plane
• 2D Ising Field Theory in a Magnetic Field: The Yang-Lee Singularity
• Scaling functions for the O(4)-model in d=3 dimensions
• Uniformizing Lee-Yang Singularities
• Universality, Lee-Yang singularities and series expansions

Cited by in corpus (8)

• Phase Transitions in Particle Physics -- Results and Perspectives from Lattice Quantum Chromo-Dynamics
• QCD at finite temperature and density within the fRG approach: An overview
• Universal location of Yang-Lee edge singularity in classic O(N) universality classes
• Functional flows for complex effective actions
• Locating Critical Points Using Ratios of Lee-Yang Zeros
• Two lectures on Yang-Lee edge singularity and analytic structure of QCD equation of state
• Lee-Yang-zero ratio method in three-dimensional Ising model
• Tunneling with physics-informed RG flows in the anharmonic oscillator