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Title: Spectrum of two-dimensional su(2) gauge theories coupled to massless fermions in integer representations
The spectra of two-dimensional su(2) gauge theories coupled to a single massless Majorana fermion in integer representations, J, are numerically investigated using the discrete light-cone Hamiltonian. One of our aims is to explore the possible presence of massless states for J > 2 in spite of the absence of a continuous symmetry. After comparing to existing results for J = 1 (adjoint fermions), we present results for J = 2, 3, 4. As expected, for J = 2 there are no massless states but in contrast to the J = 1 theory, the lightest state is a boson. We find exact massless modes in the bosonic and fermionic sector for all values of total momentum for J = 3 and J = 4 and, in each sector, the number of massless modes grows with the value of the total momentum. In addition to the spectrum, we present results on the particle number and momentum fraction distributions and argue for a separation of bulk states from edge states.  more » « less
Award ID(s):
1913010
PAR ID:
10504997
Author(s) / Creator(s):
;
Publisher / Repository:
Physical Review D
Date Published:
Journal Name:
Physical Review D
Volume:
108
Issue:
9
ISSN:
2470-0010
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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