Properties of the deconfining phase transition in SU(N) gauge theories
Feb, 2005
50 pages
Published in:
- JHEP 02 (2005) 033
e-Print:
- hep-lat/0502003 [hep-lat]
Report number:
- DESY-05-021
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Abstract:
We extend our earlier investigation of the finite temperature deconfinement transition in SU(N) gauge theories, with the emphasis on what happens as N->oo. We calculate the latent heat in the continuum limit, and find the expected quadratic in N behaviour at large N. We confirm that the phase transition, which is second order for SU(2) and weakly first order for SU(3), becomes robustly first order for N>3 and strengthens as N increases. As an aside, we explain why the SU(2) specific heat shows no sign of any peak as T is varied across what is supposedly a second order phase transition. We calculate the effective string tension and electric gluon masses at T=Tc confirming the discontinuous nature of the transition for N>2. We explicitly show that the large-N `spatial' string tension does not vary with T for T- gauge field theory: SU(N)
- lattice field theory
- finite temperature
- critical phenomena: confinement
- expansion 1/N
- string tension
- gluon: mass
- mass: gap
- numerical calculations: Monte Carlo
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