# Test of the Schrödinger functional with chiral fermions in the
Gross-Neveu model

**Source**: https://www.maths.tcd.ie/report_series/abstracts/tcdm0720.html
**Parent**: https://www.maths.tcd.ie/research/papers/

**Test of the Schrödinger functional with chiral fermions in the
Gross-Neveu model**

The recently proposed construction of chiral fermions on lattices with
boundaries is tested in an interacting theory up to first order of
perturbation theory. We confirm that, in the bulk of the lattice, the
chiral Ward identities take their continuum value up to cutoff effects
without any tuning. Universal quantities are defined that have an
expansion in the renormalised couplings with coefficients that are
functions of the physical size and the periodicity in the spatial
direction. These coefficient functions have to be identical for
different discretisations. We find agreement with the standard Wilson
fermions. The computation is done in the asymptotically free Gross-Neveu
model with continuous chiral symmetry.