  We study the triton and three-nucleon force at lowest chiral order in
pionless effective field theory both in the Hamiltonian and Euclidean nuclear
lattice formalism. In the case of the Euclidean lattice formalism, we derive
the exact few-body worldline amplitudes corresponding to the standard many-body
lattice action. This will be useful for setting low-energy coefficients in
future nuclear lattice simulations. We work in the Wigner SU(4)-symmetric limit
where the S-wave scattering lengths {1}S{0} and {3}S{1} are equal. By comparing
with continuum results, we demonstrate for the first time that the nuclear
lattice formalism can be used to study few-body nucleon systems.
