The epsilon expansion at next-to-next-to-leading order with small imaginary chemical potential

Abstract

We discuss chiral perturbation theory for two and three quark flavors in the epsilon expansion at next-to-next-to-leading order (NNLO) including a small imaginary chemical potential. We calculate finite-volume corrections to the low-energy constants $\Sigma$ and $F$ and determine the non-universal modifications of the theory, i.e., modifications that cannot be mapped to random matrix theory (RMT). In the special case of two quark flavors in an asymmetric box we discuss how to minimize the finite-volume corrections and non-universal modifications by an optimal choice of the lattice geometry. Furthermore we provide a detailed calculation of a special version of the massless sunset diagram at finite volume.

21 pages, 5 figures

References in corpus (9)

• Chiral Perturbation Theory Beyond One Loop
• Two-flavor lattice QCD simulation in the epsilon-regime with exact chiral symmetry
• Matrix Models and QCD with Chemical Potential
• A new Chiral Two-Matrix Theory for Dirac Spectra with Imaginary Chemical Potential
• Finite volume effects for the pion mass at two loops
• 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
• Finite size scaling of meson propagators with isospin chemical potential
• Finite-volume Correction to the Pion Decay Constant in the Epsilon-Regime

Cited by in corpus (12)

• FLAG Review 2019
• Review of lattice results concerning low energy particle physics
• Determination of the chiral condensate from QCD Dirac spectrum on the lattice
• New Ways to Determine Low-Energy Constants with Wilson Fermions
• Random Matrix Theory and Quantum Chromodynamics
• Interpolation between the epsilon and p regimes
• Geometry dependence of RMT-based methods to extract the low-energy constants Sigma and F
• Chiral Random Matrix Theory and Chiral Perturbation Theory
• Individual Eigenvalue Distributions for the Wilson Dirac Operator
• Exploring the Aoki regime
• Universal microscopic spectrum of the unquenched QCD Dirac operator at finite temperature
• Chiral random matrix theory for staggered fermions