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We consider multi-particle contributions to nucleon two- and three-pointfunctions from the perspective of chiral dynamics. Lattice nucleoninterpolating operators, which have definite chiral transformation properties,can be mapped into chiral perturbation theory. Using the most common of suchoperators, we determine pion-nucleon and pion-delta couplings to nucleon two-and three-point correlation functions at leading order in the low-energyexpansion. The couplings of pions to nucleons and deltas in two-point functionsare consistent with simple phase-space considerations, in accordance with theLehmann spectral representation. An argument based on available phase space ona torus is utilized to derive the scaling of multiple-pion couplings. Whilemulti-pion states are indeed suppressed, this suppression scales differentlywith particle number compared to that in infinite volume. For nucleonthree-point correlation functions, we investigate the axial-vector current atvanishing momentum transfer. The effect of pion-nucleon and pion-delta stateson the extraction of the nucleon axial charge is assessed. We show thatcouplings to finite volume multi-particle states could potentially lead tooverestimation of the axial charge. Hence pion-nucleon excited states cannotexplain the trend seen in lattice QCD calculations of the nucleon axial charge.

Chiral Corrections to Nucleon Two- and Three-Point Correlation Functions