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Title: The deconfining phase transition for 2 + 1 d SU(Ne) gauge theories.
Author: Liddle, Jack
Awarding Body: University of Oxford
Current Institution: University of Oxford
Date of Award: 2006
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Abstract:
A route to a greater understanding of QCD lies with 't Hoofts large Nc limit of QCD. Properties of the deconfining phase transition in the 2+1 dimensional theory 8U(Nc ) gauge theory are studied in the large Nc limit. A short review of lattice field theory and the large Nc limit of QCD and the pure gauge theory is presented. The groups 8U(2), 8U(3), 8U(4), 8U(5), 8U(6), 8U(8) are studied, on lattice spacings corresponding to L t = 2,3,4,5. The critical coupling, maxima of the loop susceptibility, minima of the Binder cumulant and latent heat are extrapolated to the infinite volume limits, in a manner appropriate to the order of the transition. The critical temperature is extrapolated in units of the string tension and 't Hooft coupling to the continuum limit. The latent heat is also extrapolated to the continuum limit. The critical temperature and latent heat are extrapolated to Nc = 00. The expected O(l/N~) corrections describe the critical temperature all the way down to 8U(2). The deconfining phase transition is shown to be first order for Nc 2: 4, with the transition for 8U(4) being weakly first order. In terms of the latent heat the transition remains the same strength for Nc > 5.
Supervisor: Not available Sponsor: Not available
Qualification Name: University of Oxford, 2006 Qualification Level: Doctoral
EThOS ID: uk.bl.ethos.491191  DOI: Not available
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