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SUMMARY:Towards the Mass Shift and Discrete Chiral Symmetry in the Lattice
  QED Hamiltonian
DTSTART:20261014T060000Z
DTEND:20261014T070000Z
DTSTAMP:20261003T215300Z
UID:indico-event-31064@indico.ihep.ac.cn
DESCRIPTION:Speakers: Shoto Aoki (RIKEN)\n\nWe study the lattice Hamiltoni
 an formulation of quantum electrodynamics with staggered fermions and exte
 nd the mass-shift construction developed for the Schwinger model to the $3
 +1$-dimensional case. In the Schwinger model\, the chiral transformation i
 s realized as a one-site translation of the staggered fermion field. By in
 troducing a correction term\, referred to as the mass shift\, the lattice 
 Hamiltonian possesses an exact discrete chiral symmetry\, while also allow
 ing for the correct transformation of the $\\theta$ parameter\, leading to
  significantly improved convergence of numerical calculations.In this work
 \, we generalize this construction to $3+1$-dimensions and show that the r
 esulting lattice Hamiltonian with the mass shift also possesses an exact d
 iscrete chiral symmetry. The realization of the $\\theta$ parameter shift 
 is left for future work.Bio:Shoto Aoki is a postdoctoral researcher at the
  RIKEN Center for Interdisciplinary Theoretical and Mathematical Sciences 
 (iTHEMS) in Japan. He is currently a visiting scholar at the University of
  California\, Berkeley (UC Berkeley)\, where he works on theoretical aspec
 ts of lattice gauge theory. His current research focuses on lattice Maxwel
 l theory in the Villain formulation\, as well as chiral symmetry and mass 
 shifts in the Hamiltonian formalism.He received his PhD from Osaka Univers
 ity in 2024 under the supervision of Hidenori Fukaya. During his PhD\, he 
 studied fermion systems with curved domain walls and investigated how the 
 edge modes respond to gravitational potentials.\n\nhttps://indico.ihep.ac.
 cn/event/31064/
LOCATION:B105 (CHEP)
URL:https://indico.ihep.ac.cn/event/31064/
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