Hadronic vacuum polarization using gradient flow
Robert V. Harlander, Fabian Lange, Tobias Neumann
Abstract
A bstract The gradient-flow operator product expansion for QCD current correlators including operators up to mass dimension four is calculated through NNLO. This paves an alternative way for efficient lattice evaluations of hadronic vacuum polarization functions. In addition, flow-time evolution equations for flowed composite operators are derived. Their explicit form for the non-trivial dimension-four operators of QCD is given through order $$ {\alpha}_s^3. $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>α</mml:mi> <mml:mi>s</mml:mi> <mml:mn>3</mml:mn> </mml:msubsup> <mml:mo>.</mml:mo> </mml:math>
Topics & Concepts
PhysicsVacuum polarizationOperator product expansionQuantum chromodynamicsHadronLattice QCDParticle physicsVacuum stateLattice (music)Polarization (electrochemistry)Quantum electrodynamicsOperator (biology)Lattice field theoryQCD vacuumDimension (graph theory)Mathematical physicsProduct (mathematics)False vacuumBalanced flowFlow (mathematics)Order (exchange)Theoretical physicsQED vacuumFirst orderFermionQuantum mechanicsCurrent (fluid)Quantum Chromodynamics and Particle InteractionsParticle physics theoretical and experimental studiesHigh-Energy Particle Collisions Research