Hadronic Correlation Functions in the Interacting Instanton Liquid

Abstract

We study hadronic correlation functions in the interacting instanton liquid model, both at zero and nonzero temperature $T$. At zero $T$ we investigate the dependence of the correlators on the instanton ensemble, in particular the effect of the fermionic determinant. We demonstrate that quark-induced correlations between instantons are important, especially in the repulsive ${\eta }^{\prime }$ and $\delta$-meson channels. We also calculate a large number of mesonic and baryonic correlation functions as a function of temperature. We find three different types of behavior as $T\to T_c$. The vector channels $\rho ,a_1,\Delta$ show a gradual melting of the resonance contribution and approach free quark behavior near the chiral phase transition. The light pseudoscalars and scalars $\pi ,\sigma$, as well as the nucleon show stable resonance contributions, probably even surviving above $T_c$. Correlation functions in the heavy scalar channels ${\eta }^{\prime },\delta$ are enhanced as $T\to T_c$.

34 pages, Revtex, 7 postscript figures

References in corpus (5)

• The Return of The Prodigal Goldstone Boson
• The instanton liquid in QCD at zero and finite temperature
• Is the Quenched Spectrum in agreement with Experiment?
• Partial $U(1{)}_A$ Restoration and $\eta$ Enhancement in High-Energy Heavy-Ion Collisions
• Can hadrons survive the chiral phase transition ?

Cited by in corpus (27)

• Instantons in QCD
• Theta dependence of SU(N) gauge theories in the presence of a topological term
• Exclusive processes in position space and the pion distribution amplitude
• Direct instantons, topological charge screening and QCD glueball sum rules
• Chiral Loops and Ghost States in the Quenched Scalar Propagator
• Short distance current correlators: Comparing lattice simulations to the instanton liquid
• Chiral Multiplets of Hadron Currents
• Implications of the ALEPH tau-Lepton Decay Data for Perturbative and Non-Perturbative QCD
• Diquark effects in light baryon correlators from lattice QCD
• Topology at the Deconfinement Transition Uncovered by Inverse Blocking in SU(2) Pure Gauge Theory with Fixed Point Action
• The axial anomaly in QCD at finite temperature
• Instantons in QCD with Many Colors
• Exploring the Chiral Regime of QCD in the Interacting Instanton Liquid Model
• Continuum extrapolation of energies of a four-quark system in lattice gauge theory
• Proton Electro-Magnetic Form-Factors in the Instanton Liquid Model
• Action and topological density carried by Abelian monopoles in finite temperature pure SU(2) gauge theory: an analysis using RG smoothing
• Instantons and Scalar Multiquark States: From Small to Large N_c
• Instantons and the Spin of the Nucleon
• Pion electromagnetic formfactor in the instanton vacuum
• Relations Among Correlation Functions in the High Temperature Phase of QCD with Broken SU(3)
• Hadrons in Hot and Dense Matter
• Topological zero modes at nonzero chemical potential
• Proposal for Topologically Unquenched QCD
• Finite Quark Mass Effects in the Improved Ladder Bethe-Salpeter Amplitudes
• Instanton fermionic zero mode at finite temperature and chemical potential
• Off-shell photon distribution amplitudes in the low-energy effective theory of QCD
• Meson Correlators at Finite Temperature