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The deconfining phase transition of SO(N) gauge theories in 2+1 dimensions

Abstract:

We calculate the deconfining temperature of SO(N ) gauge theories in 2+1 dimensions, and determine the order of the phase transition as a function of N , for various values of N ∈ [4, 16]. We do so by extrapolating our lattice results to the infinite volume limit, and then to the continuum limit, for each value of N. We then extrapolate to the N =∞ limit and observe that the SO(N) and SU(N) deconfining temperatures agree in that limit. We find that the the deconfining temperatures of all the SO(N ) gauge theories appear to follow a single smooth function of N , despite the lack of a non-trivial centre for odd N . We also compare the deconfining temperatures of SO(6) with SU(4), and of SO(4) with SU(2) × SU(2), motivated by the fact that these pairs of gauge theories share the same Lie algebras.

Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/JHEP03(2016)072

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Oxford college:
All Souls College
Role:
Author


Publisher:
Springer
Journal:
Journal of High Energy Physics More from this journal
Volume:
2016
Issue:
72
Publication date:
2016-03-14
Acceptance date:
2016-02-25
DOI:
EISSN:
1029-8479
ISSN:
1126-6708


Keywords:
Pubs id:
pubs:612251
UUID:
uuid:bb0b403a-9967-446f-bdef-39243199dc69
Local pid:
pubs:612251
Source identifiers:
612251
Deposit date:
2017-04-11

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