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SUMMARY:Erez Zohar (Racah Institute of Physics)
DTSTART:20200723T133000Z
DTEND:20200723T143000Z
DTSTAMP:20260423T011225Z
UID:HEP-TN/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HEP-TN/6/">A
 bsorbing fermionic statistics by lattice gauge fields and eliminating ferm
 ions</a>\nby Erez Zohar (Racah Institute of Physics) as part of HEP-tensor
  network seminars\n\n\nAbstract\nFermionic statistics include the parity s
 uperselection rule\, having to do with the global Z_2 (parity) symmetry of
  fermionic Hamiltonians. In lattice theories\, this symmetry can be gauged
  and made local\, with "parity Gauss laws" relating the local fermionic pa
 rity on each site with the divergence of parity gauge fields around it. Th
 ese local constraints allow one to transfer the statistics from the fermio
 nic matter to the gauge field. Lattice gauge theories\, whose gauge group 
 contains a normal Z_2 subgroup\, offer this possibility without introducin
 g any extra ingredients. I will discuss a transformation we have recently 
 derived\, which maps lattice gauge theories with fermionic matter to equiv
 alent theories with hardcore bosonic matter. In the resulting models\, the
  interaction of the matter with the gauge fields is slightly changed\, but
  in a local way. Unlike in the Jordan-Wigner procedure\, this mapping give
 s rise to no nonlocality and can be performed in arbitrary space dimension
 s. Furthermore\, it can be extended to models without any gauge field\, by
  the introduction of an auxiliary\, non-dynamical Z_2 field which will abs
 orb the statistics.\n
LOCATION:https://researchseminars.org/talk/HEP-TN/6/
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