Renormalon Subtraction from the Average Plaquette and the Gluon Condensate

Abstract

A Borel resummation scheme of subtracting the perturbative contribution from the average plaquette is proposed using the bilocal expansion of Borel transform. It is shown that the remnant of the average plaquette, after subtraction of the perturbative contribution, scales as a dim-4 condensate. A critical review of the existing procedure of renormalon subtraction is presented.

arXiv comment7pages,one figure; Journal version (added references and introductory remarks)

References in corpus (9)

• Thermodynamics of SU(3) Lattice Gauge Theory
• Renormalons
• The Nf=0 heavy quark potential from short to intermediate distances
• Lambda^2-contribution to the condensate in lattice gauge theory
• Surviving the renormalon in heavy quark potential
• Separating perturbative and non-perturbative contributions to the plaquette
• A consistency check for Renormalons in Lattice Gauge Theory: beta^(-10) contributions to the SU(3) plaquette
• The non-perturbative part of the plaquette in quenched QCD
• Heavy quark mass determination from the quarkonium ground state energy: a pole mass approach

Cited by in corpus (18)

• QCD Sum Rules Approach to the $X,Y$ and $Z$ States
• Model-independent determination of the gluon condensate in four-dimensional SU(3) gauge theory
• XYZ-like Spectra from Laplace Sum Rule at N2LO in the Chiral Limit
• Crawling technicolor
• Improved light quark masses from pseudoscalar sum rules
• Nature of the X(5568) : a critical Laplace sum rule analysis at N2LO
• Reconciling the Contour-Improved and Fixed-Order Approaches for $\tau$ Hadronic Spectral Moments I: Renormalon-Free Gluon Condensate Scheme
• Reconciling the Contour-Improved and Fixed-Order Approaches for $\tau$ Hadronic Spectral Moments II: Renormalon Norm and Application in ${\alpha }_s$ Determinations
• Confronting electron-positron annihilation into hadrons with QCD: an operator product expansion analysis
• XYZ-SU3 Breakings from Laplace Sum Rules at Higher Orders
• Hyperasymptotic approximation to the plaquette and determination of the gluon condensate
• Extracting gluon condensate from the average plaquette
• Hadronic Contribution to the muon $g-2$ factor
• Phenomenology of renormalons and the OPE from lattice regularization: the gluon condensate and the heavy quark pole mass
• Renormalon-free definition of the gluon condensate within the large-${\beta }_0$ approximation
• Vacuum quark condensate, chiral Lagrangian, and Bose-Einstein statistics
• Infrared renormalon in $SU(N)$ QCD(adj.) on ${\mathbb{R}}^3\times S^1$
• Theoretical description of the plaquette with exponential accuracy