Speaker
Description
The symmetric mass generation (SMG) approach to the construction of lattice
chiral gauge theories attempts to use interactions to render mirror fermions
massive without symmetry breaking, to obtain the desired chiral massless
spectrum. If the zeros that often replace the mirror poles of fermion
two-point functions in an SMG phase are “kinematical” singularities, general
constraints can be formulated on the existence of a chiral fermion spectrum
which are valid in the presence of (non-gauge) interactions of arbitrary
strength, including in any SMG phase. Constructing a one-particle lattice
hamiltonian describing the fermion spectrum, we discuss the conditions for the
applicability of the Nielsen-Ninomiya theorem to this hamiltonian. If these
conditions are satisfied, the massless fermion spectrum must be vector-like.
We comment on the qualitative difference between 4- and 2-dimensional models.
| Parallel Session (for talks only) | Theoretical developments and applications beyond Standard Model |
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