Nonlocal gluon condensates in QCD sum rules

Abstract

Nonlocal gluon condensates are vacuum expectations of the product of gluon field strength tensors. Short-distance expansions of two-, three-, and four-gluon condensates are presented up to dimension-8 local operators. We propose a method for calculating the Wilson coefficients based on the presented expansions and the Feynman diagram technique in the background field approach. The method is demonstrated using the glueball current correlators as examples. Methodological aspects of the background field approach are discussed in relation to glueball studies within QCD sum rules. We confirm the results for Operator Product Expansion (OPE) of the two-gluon $0^{\pm +}$ glueball current correlators and calculate additional contributions coming from dimension-6 four-quark condensate and dimension-8 mixed quark-gluon condensates. The OPEs used in QCD sum rules for three-gluon $0^{\pm +}$ glueballs are revisited up to dimension-6 order.

arXiv comment17 pages, 7 figures, 6 tables

References in corpus (61)

• The hidden-charm pentaquark and tetraquark states
• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• New Charmonium States in QCD Sum Rules: a Concise Review
• The Physics of Glueballs
• The Status of Glueballs
• Masses, decays and mixings of gluonia in QCD
• QCD Sum Rules and Applications to Nuclear Physics
• QCD-based pion distribution amplitudes confronting experimental data
• Recent Progress in QCD Condensate Evaluations and Sum Rules
• Comparison of $pp$ and $p\bar{p}$ differential elastic cross sections and observation of the exchange of a colorless $C$-odd gluonic compound
• QCD Tests of the Puzzling Scalar Mesons
• Direct instantons, topological charge screening and QCD glueball sum rules
• Baryonic currents and their correlators in the Heavy Quark Effective Theory
• Self-contained definition of the Collins-Soper kernel
• Finding the $0^{--}$ Glueball
• Effective holographic models for QCD: glueball spectrum and trace anomaly
• 0^-+ Trigluon Glueball and its Implication for a Recent BES Observation
• Scalar Gluonium and Instantons
• Pseudoscalar glueball mass: a window on three-gluon interactions
• Odderon and proton substructure from a model-independent Levy imaging of elastic $pp$ and $p\bar{p}$ collisions
• QCD sum rules with nonlocal condensates and the spacelike pion form factor
• Pseudoscalar glueball and $\eta -{\eta }^{\prime }$ mixing
• Determination of the scalar glueball mass in QCD sum rules
• Methods of calculation of higher power corrections in QCD
• Evidence of Odderon-exchange from scaling properties of elastic scattering at TeV energies
• Gluon Field Strength Correlation Functions within a Constrained Instanton Model
• A Gaussian Sum-Rules Analysis of Scalar Glueballs
• Mass Spectra of $0^{+-}$, $1^{-+}$, and $2^{+-}$ Exotic Glueballs
• Pomeron/glueball and odderon/oddball trajectories
• Endpoint behavior of the pion distribution amplitude in QCD sum rules with nonlocal condensates
• Two-loop calculations for the propagators of gluonic currents. Erratum
• Glueballs as the Ithaca of meson spectroscopy
• Decay and electromagnetic production of strongly coupled quarkonia in pNRQCD
• Inclusive Hadroproduction of $P$-Wave Heavy Quarkonia in Potential Nonrelativistic QCD
• SVZ sum rules : 30 + 1 years later
• OPE of the pseudoscalar gluonium correlator in massless QCD to three-loop order
• Exotic glueball $0^{\pm -}$ states in QCD Sum Rules
• New Perspective on Hybrid Mesons
• Instanton and Higher-Loop Perturbative Contributions to the QCD Sum-Rule Analysis of Pseudoscalar Gluonium
• Toward the existence of odderon as a three-gluon bound state
• Spectra of glueballs and oddballs and the equation of state from holographic QCD
• Mass spectrum of pseudo-scalar glueballs from a Bethe-Salpeter approach with the rainbow-ladder truncation
• Rho meson distribution amplitudes from QCD sum rules with nonlocal condensates
• Two- and three-gluon glueballs of $C=+$
• Is the exotic $0^{--}$ glueball a pure gluon state ?
• The pion in the graviton soft-wall model: phenomenological applications
• Search for the tensor glueball
• Comment on "Finding the $0^{--}$ Glueball" [arXiv:1408.3995]
• Safe Glueballs and Baryons
• Search for the glueball content of hadrons in gamma p interactions at GlueX
• Light vector correlator in medium: Wilson coefficients up to dimension 6 operators
• Search for the $0^{--}$ Glueball in ${\rm Y}(1S)$ and ${\rm Y}(2S)$ decays
• Operator Product Expansion and Quark-Hadron Duality: Facts and Riddles
• Improved indirect limits on charm and bottom quark EDMs
• Algebraic vacuum limits of QCD condensates from in-medium projections of Lorentz tensors
• Abelian Decomposition and Glueball-Quarkonium Mixing in QCD
• Glueball Production via Gluonic Penguin B Decays
• Non-Abelian axial anomaly, axial-vector duality, and the pseudoscalar glueball
• Operator product expansion for the non-local gluon condensate
• Pion Form Factor in the NLC QCD SR approach
• Nonlocal condensates and pion form factor

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