Critical correlators of three-dimensional gauge theories at finite temperature: Exact results from universality
Jul, 19983 pages
Part of Lattice Field Theory. Proceedings: 16th International Symposium, Lattice '98, Boulder, USA, Jul 13-18, 1998, 429-431
Published in:
- Nucl.Phys.B Proc.Suppl. 73 (1999) 429-431
Contribution to:
e-Print:
- hep-lat/9807037 [hep-lat]
Report number:
- DFTT-42-98
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Abstract:
According to the Svetitsky-Yaffe conjecture, a three-dimensional gauge theory undergoing a continuous deconfinement transition is in the same universality class as a two-dimensional statistical model with order parameter taking values in the center of the gauge group. This allows us to use conformal field theory techniques to evaluate exactly various correlation functions at the critical point. In particular, we show that the plaquette operator of the gauge theory is mapped into the energy operator of the dimensionally reduced model. The plaquette expectation value in presence of static sources for three-dimensional SU(2) and SU(3) theories at the deconfinement temperature can be exactly evaluated, providing some new insight about the structure of the color flux tube in mesons and baryons.Note:
- LATTICE98(hightemp) Report-no: DFTT 42/98
- talk: Boulder 1998/07/13
- lattice field theory
- gauge field theory: SU(2)
- gauge field theory: SU(3)
- dimension: 3
- critical phenomena: confinement
- finite temperature
- universality
- correlation function
- field theory: conformal
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