Solution to the 1 + 1 dimensional gauged chiral Fermion problem
Name
PhysRevD.99.111501.pdf
Description
Published version
Size
162.14 KB
Format
Adobe PDF
Checksum (MD5)
fb3cbdbe4c6b717b7887b364332cbeff
Author(s)
Wang, Juven
Wen, Xiao-Gang
Date Issued
2019
Journal
Physical Review D
Publisher
American Physical Society (APS)
Version
Final published version
Abstract
© 2019 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the «https://creativecommons.org/licenses/by/4.0/» Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP 3 . We show that the 3450 U(1) chiral fermion theory can appear as the low energy effective field theory of a 1+1D local lattice model of fermions, with an on-site U(1) symmetry and finite-range interactions. The on-site U(1) symmetry means that the U(1) symmetry can be gauged (gaugeable for both background probe and dynamical fields), which leads to a nonperturbative definition of chiral gauge theory - a chiral fermion theory coupled to U(1) gauge theory. Our construction can be generalized to regularize any U(1)-anomaly-free 1+1D gauged chiral fermion theory with a zero chiral central charge (thus no gravitational anomaly) by a lattice, thanks to the recently proven "Poincaré dual" equivalence between the U(1) 't Hooft anomaly-free condition and the U(1) symmetric interaction gapping rule, via a bosonization-fermionization technique.
MIT Department
Massachusetts Institute of Technology. Department of Physics
Terms of Use
Creative Commons Attribution 4.0 International license
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DOI of Published Version
https://doi.org/10.1103/PHYSREVD.99.111501
