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Chiral extrapolations of baryon masses for unquenched three-flavor lattice simulations

Matthias Frink, Ulf-G. Meißner

Abstract

We have analyzed the chiral expansion of the baryon masses to second order in the quark masses, including strong isospin violation. The calculations are performed in Lorentz-invariant baryon chiral perturbation theory. Chiral extrapolation functions for three-flavor unquenched lattice simulations are derived. The matching to the two-flavor case and the sigma terms are also considered.

Chiral extrapolations of baryon masses for unquenched three-flavor lattice simulations

Abstract

We have analyzed the chiral expansion of the baryon masses to second order in the quark masses, including strong isospin violation. The calculations are performed in Lorentz-invariant baryon chiral perturbation theory. Chiral extrapolation functions for three-flavor unquenched lattice simulations are derived. The matching to the two-flavor case and the sigma terms are also considered.

Paper Structure

This paper contains 14 sections, 151 equations, 1 figure.

Table of Contents

  1. Introduction
  2. Effective Lagrangian
  3. Meson Lagrangian
  4. Meson-Baryon Lagrangian
  5. Calculation of baryon masses
  6. Chiral extrapolation functions
  7. Matching to the two-flavor case
  8. Matching equations
  9. Bounds on the low-energy constants
  10. Sigma terms
  11. Summary and conclusions
  12. Meson mass representation
  13. Analysis of tapdole graphs
  14. Renormalization and $\beta$-functions

Figures (1)

  • Figure 1: Loop contributions to the baryon masses at third and fourth order. Solid (dashed) lines refer to baryons (Goldstone bosons). The solid dot (circlecross) denotes an insertion from the dimension one (two) meson-baryon Lagrangian.