Critical exponents from five-loop scalar theory renormalization near six-dimensions
M. V. Kompaniets, Andrey Pikelner
Abstract
We present five-loop results for the renormalization of various models with a cubic interaction (in d=6−2ε dimensions). For the scalar model and its O(n)-symmetric extension we provide renormalization constants, anomalous dimensions and critical exponents. We discuss in detail the method of calculation, and provide all counterterms up to five loops. This allows one to consider generalizations of the φ3 theory to other symmetries.
Topics & Concepts
PhysicsRenormalizationCritical exponentScalar (mathematics)Renormalization groupMathematical physicsHomogeneous spaceCritical phenomenaLoop (graph theory)Critical dimensionFunctional renormalization groupScalar field theoryQuantum electrodynamicsTheoretical physicsQuantum mechanicsPhase transitionQuantum gravityCombinatoricsMathematicsQuantumGeometryBlack Holes and Theoretical PhysicsParticle physics theoretical and experimental studiesQuantum Chromodynamics and Particle Interactions