High Energy Theory Seminar
Online and In-Person Event
On lattice chiral symmetries
Shu-Heng Shao,
Massachusetts Institute of Technology,
Can we regularize chiral global symmetries and their anomalies on a lattice with a finite dimensional Hilbert space? We discuss how the vector and axial U(1) symmetries of a massless Dirac fermion in 1+1d are realized in the conventional staggered fermion Hamiltonian lattice model. Interestingly, these two lattice charges do not commute and form an infinite dimensional algebra. We prove that these symmetries force the low-energy phase to be gapless, reminiscent of consequences from perturbative anomalies of continuous global symmetries in quantum field theory.
The talk is in 469 Lauritsen.
Contact theoryinfo@caltech.edu for Zoom information.
For more information, please visit http://www.theory.caltech.edu/seminars/high-energy-theory-seminars.