Finite - size Scaling of Meson Propagators
نویسندگان
چکیده
Using quenched chiral perturbation theory we compute meson correlation functions at finite volume and fixed gauge field topology. We also present the corresponding analytical predictions for the unquenched theory at fixed gauge field topology. These results can be used to measure the low-energy parameters of the chiral Langrangian from lattice simulations in volumes much smaller than one pion Compton wavelength.
منابع مشابه
Finite-volume meson propagators in quenched chiral perturbation theory
Recent progress in the formulation of chiral fermions on the lattice makes it possible to approach the regime of the physical light quark masses. However, lattice volumes V = L needed to ensure negligible finite size effects are prohibitively large for such light quarks. Only when L is very large compared to the Compton wavelength of the lightest particles of the theory (i.e. the pions) are the...
متن کاملPolyakov Loops and Finite-Size Effects of Hadron Masses in Lattice Full QCD
The polarization of Polyakov type loops is responsible for the difference between quenched and unquenched finite size effects on the QCD mass spectrum. With a numerical simulation, using different sea quarks boundary conditions, we show that we can align the spatial Polyakov loops in a predefined direction. Starting from these results, we propose a procedure to partially remove the Polyakov typ...
متن کاملPseudoscalar Meson Temporal Correlation Function for Finite Momenta in HTL approach
The temporal pseudoscalar meson correlation function in a QCD plasma is investigated in a range of temperatures exceeding Tc and first time for a finite momenta which is of the experimental interest. The imaginary time formalism is employed for the finite temperature calculations. The behavior of the meson spectral function and of the temporal correlator is studied in the HTL approximation, whe...
متن کاملFinite momentum meson correlation functions in a QCD plasma
The finite momentum meson spectral function (MSF) in the pseudoscalar channel is evaluated, adopting for the fermionic propagators HTL expressions. The different contributions to the meson spectral functions are clearly displayed. Our analysis may be of relevance for lattice studies of MSF based so far on the Maximum Entropy Method. As a further step the correlation function along the (imaginar...
متن کاملSelf-consistent solution of the Schwinger-Dyson equations for the nucleon and meson propagators.
The Schwinger-Dyson equations for the nucleon and meson propagators are solved self-consistently in an approximation that goes beyond the Hartree-Fock approximation. The traditional approach consists in solving the nucleon Schwinger-Dyson equation with bare meson propagators and bare meson-nucleon vertices; the corrections to the meson propagators are calculated using the bare nucleon propagato...
متن کامل