Universal Location of the Yang-Lee Edge Singularity in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="normal">O</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>N</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math> Theories
Andrew Connelly, Gregory Johnson, Fabian Rennecke, Vladimir V. Skokov
Abstract
We determine a previously unknown universal quantity, the location of the Yang-Lee edge singularity for the O(N) theories in a wide range of N and various dimensions. At large N, we reproduce the N→∞ analytical result on the location of the singularity and, additionally, we obtain the mean-field result for the location in d=4 dimensions. In order to capture the nonperturbative physics for arbitrary N, d and complex-valued external fields, we use the functional renormalization group approach.
Topics & Concepts
SingularityEnhanced Data Rates for GSM EvolutionPhysicsRenormalization groupField (mathematics)Range (aeronautics)Order (exchange)Mathematical physicsCombinatoricsComputer scienceMathematicsPure mathematicsMathematical analysisArtificial intelligenceEconomicsComposite materialFinanceMaterials scienceQuantum Chromodynamics and Particle InteractionsParticle physics theoretical and experimental studiesBlack Holes and Theoretical Physics