Instantons and $<A^2>$ Condensate

Abstract

We argue that the $<A_{\mathrm{OPE}}^2>$ condensate found in the Landau gauge on lattices, when an Operator Product Expansion of Green functions is performed, might be explained by instantons. We use cooling to estimate the instanton contribution and extrapolate back the result to the thermalised configuration. The resulting $<A_{\mathrm{inst}}^2>$ is similar to $<A_{\mathrm{OPE}}^2>$.

arXiv comment6 pages, 1 fig., 1 tab., RevTeX to be used

References in corpus (13)

• Instantons in QCD
• Evidence for the Role of Instantons in Hadron Structure from Lattice QCD
• Testing Landau gauge OPE on the Lattice with a $<A^2>$ Condensate
• Topology of the SU(2) vacuum: a lattice study using improved cooling
• Asymptotic behaviour of the gluon propagator from lattice QCD
• Consistent OPE Description of Gluon Two- and Three-point Green Function?
• Topological Structure of the SU(3) Vacuum
• Instantons, the QCD Vacuum, and Hadronic Physics
• Asymptotic scaling of the gluon propagtor on the lattice
• Lattice calculation of $1/p^2$ corrections to ${\alpha }_s$ and of ${\Lambda }_{\mathrm{QCD}}$ in the $\widetilde{MOM}$ scheme
• Cooling and the SU(2) Instanton Vaccuum
• Cooling, Physical Scales and Topology
• Remarks on the determination of the Landau gauge OPE for the Asymmetric three gluon vertex

Cited by in corpus (56)

• Indirect lattice evidence for the Refined Gribov-Zwanziger formalism and the gluon condensate $⟨A^2⟩$ in the Landau gauge
• Ghost-gluon running coupling, power corrections and the determination of ${\Lambda }_{\overline{\mathrm{MS}}}$
• The anomalous dimension of the composite operator A^2 in the Landau gauge
• The strong running coupling from the gauge sector of Domain Wall lattice QCD with physical quark masses
• An analytic study of the off-diagonal mass generation for Yang-Mills theories in the maximal Abelian gauge
• Quark-gluon vertex from lattice QCD
• Dynamical gluon mass generation from <A^2> in linear covariant gauges
• The strong coupling constant at small momentum as an instanton detector
• Ghost-gluon coupling, power corrections and ${\Lambda }_{\overline{\mathrm{MS}}}$ from twisted-mass lattice QCD at Nf=2
• Ghost-gluon coupling, power corrections and ${\Lambda }_{\overline{\mathrm{MS}}}$ from lattice QCD with a dynamical charm
• Vacuum type of SU(2) gluodynamics in maximally Abelian and Landau gauges
• Two loop effective potential for < A^2_μ> in the Landau gauge in quantum chromodynamics
• High statistics determination of the strong coupling constant in Taylor scheme and its OPE Wilson coefficient from lattice QCD with a dynamical charm
• On ghost condensation, mass generation and Abelian dominance in the Maximal Abelian Gauge
• Renormalizability of the local composite operator A^2 in linear covariant gauges
• A study of the gauge invariant, nonlocal mass operator $Tr\int d^{4}x{F}_{\mu \nu }(D^2{)}^{-1}{F}_{\mu \nu }$ in Yang-Mills theories
• A physical meaning of mixed gluon--ghost condensate of mass dimension two
• A determination of <A^2> and the non-perturbative vacuum energy of Yang-Mills theory in the Landau gauge
• On the SL(2,R) symmetry in Yang-Mills Theories in the Landau, Curci-Ferrari and Maximal Abelian Gauge
• The anomalous dimension of the gluon-ghost mass operator in Yang-Mills theory
• The Dual Meissner Effect and Magnetic Displacement Currents
• Description of Gluon Propagation in the Presence of an A^2 Condensate
• Non-perturbative Power Corrections to Ghost and Gluon Propagators
• A local and renormalizable framework for the gauge-invariant operator $A_{\min }^2$ in Euclidean Yang-Mills theories in linear covariant gauges
• Defining < A^2 > in the finite volume hamiltonian formalism
• Modified instanton profile effects from lattice Green functions
• Gluon-ghost condensate of mass dimension 2 in the Curci-Ferrari gauge
• Gribov horizon in the presence of dynamical mass generation in Euclidean Yang-Mills theories in the Landau gauge
• SVZ + 1/q2 expansion versus some QCD holographic Models
• Renormalisation of quark propagators from twisted-mass lattice QCD at $N_f$=2
• More on ghost condensation in Yang-Mills theory: BCS versus Overhauser effect and the breakdown of the Nakanishi-Ojima annex SL(2,R) symmetry
• Quantum properties of a non-Abelian gauge invariant action with a mass parameter
• Two loop MSbar gluon pole mass from the LCO formalism
• A transparent expression of the A^2-Condensate's renormalisation
• Ghost condensates in Yang-Mills theories in the Landau gauge
• Ghost condensation on the lattice
• Ghost Condensates and Dynamical Breaking of SL(2,R) in Yang-Mills in the Maximal Abelian Gauge
• One loop MSbar gluon pole mass from the LCO formalism
• Mirror Symmetry of quantum Yang-Mills vacua and cosmological implications
• On the dynamical mass generation in confining Yang-Mills theories
• Mirror QCD and Cosmological Constant
• Time-crystal ground state and production of gravitational waves from QCD phase transition
• A two-component picture of the <A^2> condensate with instantons
• Renormalization group aspects of the local composite operator method
• Embedding Brans-Dicke gravity into electroweak theory
• O.P.E. and Power Corrections to the QCD coupling constant
• Lorentz invariant ensembles of vector backgrounds
• Vacuum expectation value of A^2 from LQCD
• A novel method for the physical scale setting on the lattice and its application to $N_f$=4 simulations
• Non-abelian vector backgrounds with restored Lorentz invariance
• Renormalizability of the dimension two gluon operator $A^2$ in a class of nonlinear covariant gauges
• Renormalizability of pure $\mathcal{N}=1$ Super Yang-Mills in the Wess-Zumino gauge in the presence of the local composite operators $A^2$ and $\bar{\lambda }\lambda$
• The Non-Local Massive Yang-Mills Action as a Gauged Sigma Model
• An Instanton Picture O.P.E. <A^2> Condensate?
• Parity Odd Domain Structure with Generalized $\theta$ Vacuum
• Covariant Mass and Geometrical setup in Euclidean gauge theories