Finite size scaling of meson propagators with isospin chemical potential

Abstract

We determine the volume and mass dependence of scalar and pseudoscalar two-point functions in N_f-flavour QCD, in the presence of an isospin chemical potential and at fixed gauge-field topology. We obtain these results at second order in the ε-expansion of Chiral Perturbation Theory and evaluate all relevant zero-mode group integrals analytically. The virtue of working with a non-vanishing chemical potential is that it provides the correlation functions with a dependence on both the chiral condensate, Σ, and the pion decay constant, F, already at leading order. Our results may therefore be useful for improving the determination of these constants from lattice QCD calculations. As a side product, we rectify an earlier calculation of the O(ε^2) finite-volume correction to the decay constant appearing in the partition function. We also compute a generalised partition function which is useful for evaluating U(N_f) group integrals.

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References in corpus (9)

• A new Chiral Two-Matrix Theory for Dirac Spectra with Imaginary Chemical Potential
• Lattice study of meson correlators in the epsilon-regime of two-flavor QCD
• Equivalence of QCD in the epsilon-regime and chiral Random Matrix Theory with or without chemical potential
• Parameters of the lowest order chiral Lagrangian from fermion eigenvalues
• Partially quenched chiral perturbation theory in the epsilon-regime
• Finite-volume Correction to the Pion Decay Constant in the Epsilon-Regime
• The complete lowest order chiral Lagrangian from a little box
• Determining QCD Low-Energy Couplings from lattice simulations
• QCD, Chiral Random Matrix Theory and Integrability