Determining F_pi from spectral sum rules

Abstract

We derive spectral sum rules for a system with two quarks coupled to an imaginary isospin chemical potential in the εregime. The sum rules show an explicit dependence on the pion decay constant which should make it possible to measure F_pi from the eigenvalue spectrum of this particular Dirac operator.

8 pages

References in corpus (26)

• QCD at finite isospin density
• Random matrix theory and spectral sum rules for the Dirac operator in QCD
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• Microscopic universality in the spectrum of the lattice Dirac operator
• Low-energy couplings of QCD from current correlators near the chiral limit
• Lattice QCD in the epsilon-regime and random matrix theory
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• Small eigenvalues of the staggered Dirac operator in the adjoint representation and Random Matrix Theory
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Cited by in corpus (8)

• Matrix Models and QCD with Chemical Potential
• A new Chiral Two-Matrix Theory for Dirac Spectra with Imaginary Chemical Potential
• Finite-volume Correction to the Pion Decay Constant in the Epsilon-Regime
• Probing the chiral weak Hamiltonian at finite volumes
• Individual Eigenvalue Distributions of Chiral Random Two-Matrix Theory and the Determination of F_pi
• Symmetry Crossover Protecting Chirality in Dirac Spectra
• Determining QCD Low-Energy Couplings from lattice simulations
• The k-th Smallest Dirac Operator Eigenvalue and the Pion Decay Constant