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Title: Massless fermions in uniform flux background on T2×R : Vacuum quantum numbers from single-particle filled modes using lattice regulator
The quantum numbers of monopoles in R 3 in the presence of massless fermions have been analyzed using a uniform flux background in S 2 × R coupled to fermions. An analogous study in T 2 × R is performed by studying the discrete symmetries of the Dirac Hamiltonian in the presence of a static uniform field on T 2 with a total flux of Q in the continuum. The degenerate ground states are classified based on their transformation properties under π 2 rotations of T 2 that leave the background field invariant. We find that the lattice analysis with overlap fermions exactly reproduces the transformation properties of the single-particle zero modes in the continuum. Whereas the transformation properties of the single-particle negative energy states can be studied in the continuum and the lattice, we are also able to study the transformation properties and the particle number (charge) of the many-body ground state on a finite lattice, and we show that the contributions from the fully filled single-particle states cannot be ignored. Published by the American Physical Society2025  more » « less
Award ID(s):
2310479
PAR ID:
10587660
Author(s) / Creator(s):
; ;
Publisher / Repository:
Physical Review D
Date Published:
Journal Name:
Physical Review D
Volume:
111
Issue:
1
ISSN:
2470-0010
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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