This article is a pedagogical exploration of the nonperturbative issues entwining lattice
gauge theory, anomalies, and chiral symmetry. After briefly reviewing the importance of …

A lattice definition of QCD based on chiral defect fermions is discussed in detail. This
formulation involves (infinitely) many heavy regulator fields, realized through the introduction …

Path integration over Euclidean chiral fermions is replaced by the quantum mechanics of an
auxiliary system of non-interacting fermions. Our construction avoids the no-go theorem and …

The SU (Nf) L⊗ SU (Nf) R chiral symmetry of QCD is of central importance for the
nonperturbative low-energy dynamics of light quarks and gluons. Lattice field theory …

We present lattice calculations in QCD using Shamir's variant of Kaplan fermions which
retain the continuum SU (N) L× SU (N) R chiral symmetry on the lattice in the limit of an …

Motivated by the Pati-Salam grand unified theory [JC Pati and A. Salam, Phys. Rev. D 10,
275 (1974) 0556-2821 10.1103/PhysRevD. 10.275], we study (4+ 1) d topological insulators …

In a Hamiltonian formalism we study chiral symmetry for lattice fermions formulated in terms
of Shockley surface states bound to a wall in an extra spatial dimension. For hadronic …

This is a review of the status and outstanding issues in attempts to construct chiral lattice
gauge theories by decoupling the mirror fermions from a vectorlike theory. In the first half, we …

Combining the Kaplan surface mode approach for chiral fermions with added terms
motivated by Eichten and Preskill suggests the possibility for a lattice regularization of the …

We review the status of the domain wall fermion approach to construct chiral gauge theories
on the lattice. In this model an extra, fifth dimension is added and our 4-dimensional world …