Hadronic Correlation Functions in the Random Instanton-dyon Ensemble

Abstract

It is known since 1980's that the instanton-induced 't Hooft effective Lagrangian not only can solve the so called $U(1)a$ problem, by making the ${\eta }^{\prime }$ meson heavy etc, but it can also lead to chiral symmetry breaking. In 1990's it was demonstrated that, taken to higher orders, this Lagrangian correctly reproduces effective forces in a large set of hadronic channels, mesonic and baryonic ones. Recent progress in understanding gauge topology at finite temperatures is related with the so called {\em instanton-dyons}, the constituents of the instantons. Some of them, called $L$-dyons, possess the anti-periodic fermionic zero modes, and thus form a new version of the 't Hooft effective Lagrangian. This paper is our first study of a wide set of hadronic correlation function. We found that, at the lowest temperatures at which this approach is expected to be applicable, those may be well compatible with what is known about them based on phenomenological and lattice studies, provided $L$ and $M$ type dyons are strongly correlated.

13 pages, 12 figures, Version 2: Added figure showing effect of changing density and holonomy for mesonic correlators

References in corpus (22)

• Instantons in QCD
• SU(2) Calorons and Magnetic Monopoles
• Monopole Constituents inside SU(n) Calorons
• Gluino Condensate and Magnetic Monopoles in Supersymmetric Gluodynamics
• Continuity, Deconfinement, and (Super) Yang-Mills Theory
• Baryonic Correlation Functions in the Random Instanton Vacuum
• Seiberg-Witten and "Polyakov-like" magnetic bion confinements are continuously connected
• Topology and confinement
• Lattice Calculation of Point-to-Point Hadron Current Correlation
• Confining Dyon-Anti-Dyon Coulomb Liquid Model I
• Light Quarks in the Screened Dyon-Anti-Dyon Coulomb Liquid Model II
• Evidence for Instanton-Induced Dynamics, from Lattice QCD
• Interacting Ensemble of the Instanton-dyons and Deconfinement Phase Transition in the SU(2) Gauge Theory
• Constituent monopoles through the eyes of fermion zero-modes
• Instanton-dyon Ensemble with two Dynamical Quarks: the Chiral Symmetry Breaking
• QCD Topology at Finite Temperature: Statistical Mechanics of Selfdual Dyons
• Implications of the ALEPH tau-Lepton Decay Data for Perturbative and Non-Perturbative QCD
• The Chiral Symmetry Breaking/Restoration in Dyonic Vacuum
• The Instanton-Dyon Liquid Model V: Twisted Light Quarks
• The Instanton-Dyon Liquid Model III: Finite Chemical Potential
• Light Adjoint Quarks in the Instanton-Dyon Liquid Model IV
• Instanton-dyon Ensembles III: Exotic Quark Flavors

Cited by in corpus (4)

• Dyons near the transition temperature in $SU(3)$ lattice gluodynamics
• Density and correlations of topological objects near the transition temperature in lattice gluodynamics
• Chiral Symmetry Breaking and Confinement from an Interacting Ensemble of Instanton-dyons in Two-flavor Massless QCD
• Dynamical gluon mass at non-zero temperature in instanton vacuum model