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Spinorial flux tubes in SO(N) gauge theories in 2+1 dimensions

Abstract:
We investigate whether one can observe in SO(3) and SO(4) (lattice) gauge theories the presence of spinorial flux tubes, i.e. ones that correspond to the fundamental representation of SU(2); and similarly for SO(6) and SU(4). We do so by calculating the finite volume dependence of the Jp = 2+ glueball in 2 + 1 dimensions, using lattice simulations. We show how this provides strong evidence that these SO(N) gauge theories contain states that are composed of (conjugate) pairs of winding spinorial flux tubes, i.e. ones that are in the (anti)fundamental of the corresponding SU(N′) gauge theories. Moreover, these two flux tubes can be arbitrarily far apart. This is so despite the fact that the fields that are available in the SO(N) lattice field theories do not appear to allow us to construct operators that project onto single spinorial flux tubes.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/JHEP11(2018)132

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Oxford college:
All Souls College
Role:
Author


Publisher:
Springer Verlag
Journal:
Journal of High Energy Physics More from this journal
Volume:
2018
Issue:
11
Article number:
132
Publication date:
2018-11-22
Acceptance date:
2018-11-08
DOI:
EISSN:
1029-8479
ISSN:
1126-6708


Keywords:
Pubs id:
pubs:946763
UUID:
uuid:0613d6f2-4683-49dd-9344-8bae134e65f6
Local pid:
pubs:946763
Source identifiers:
946763
Deposit date:
2018-11-28

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