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We consider the chiral Lagrangian with nucleon, isobar, and pion degrees offreedom. The baryon masses and the axial-vector form factor of the nucleon arederived at the one-loop level. We explore the impact of using on-shell baryonmasses in the loop expressions. As compared to results from conventional chiralperturbation theory we find significant differences. An application to QCDlattice data is presented. We perform a global fit to the available latticedata sets for the baryon masses and the nucleon axial-vector form factor, anddetermine the low-energy constants relevant at N$^3$LO for the baryon massesand at N$^2$LO for the form factor. Partial finite-volume effects areconsidered. We point out that the use of on-shell masses in the loops resultsin non-analytic behavior of the baryon masses and the form factor as functionof the pion mass, which becomes prominent for larger lattice volumes thanpresently used.

On the axial-vector form factor of the nucleon and chiral symmetry