Massimiliano Procura

Nucleon mass, sigma term, and lattice QCD

We investigate the quark mass dependence of the nucleon mass M_N. An interpolation of this observable, between a selected set of fully dynamical two-flavor lattice QCD data and its physical value, is studied using relativistic baryon chiral perturbation theory up to order p^4. In order to minimize uncertainties due to lattice discretization and finite volume effects our numerical analysis takes into account only simulations performed with lattice spacings a 5. We have also restricted ourselves to data with m_pi<600 MeV and m_sea=m_val. A good interpolation function is found already at one-loop level and chiral order p^3. We show that the next-to-leading one-loop corrections are small. From the p^4 numerical analysis we deduce the nucleon mass in the chiral limit, M_0 approx 0.88 GeV, and the pion-nucleon sigma term sigma_N= (49 +/- 3) MeV at the physical value of the pion mass.

Nucleon mass : From lattice QCD to the chiral limit

Previous extrapolations of lattice QCD results for the nucleon mass to the physically relevant region of small quark masses, using chiral effective field theory, are extended and expanded in several directions. A detailed error analysis is performed. An approach with explicit

Quark mass dependence of the nucleon axial-vector coupling constant

ensuremath{Delta}(1232)

Chiral extrapolations of nucleon properties from lattice QCD

degrees of freedom is compared to a calculation with only pion and nucleon degrees of freedom. The role of the

Quark mass dependence of nucleon mass and axial-vector coupling constant

ensuremath{Delta}(1232)

Quark mass dependence of nucleon properties and extrapolations from lattice QCD

for the low-energy constants of the latter theory is elucidated. The consistency with the chiral perturbation theory analysis of pion-nucleon scattering data is examined. It is demonstrated that this consistency can indeed be achieved if the

QCD sum rules for rho mesons in vacuum and in-medium, re-examined

ensuremath{Delta}(1232)

Aspects of Precision Calculations of Nucleon Generalized Form Factors with Domain Wall Fermions on an Asqtad Sea

dominance of the

Chiral extrapolation of gA with explicit Δ(1232) degrees of freedom

P

Chiral extrapolation of nucleon mass and axial coupling gA

-wave pion-nucleon low-energy constant