Quark-gluon plasma as a condensate of [formula presented] Wilson lines

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 62, Issue 11, 2000, Pages 5-

  Pisarski, Robert D ^a  

^a BROOKHAVEN NATIONAL LABORATORY   (United States)

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EID: 33751293669     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.62.111501     Document Type: Article

References (70)

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45. L can be diagonalized by a global gauge rotation. For a (Formula presented) matrix, (Formula presented) is maximized when L is a constant phase times the unit matrix; for a (Formula presented) matrix, then, L must be an element of the center.
46. For discussion, consider what happens if the Debye mass is negative, so that the signs of (Formula presented) and (Formula presented) are switched, with (Formula presented) and (Formula presented). In this case, the favored vacuum maximizes (Formula presented), with (Formula presented) an element of the center; then the vacuum might break (Formula presented) to (Formula presented).
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59. Mean field theory fails close to a second order transition, but the effect of nontrivial critical exponents can be included, as in Eq. (12) of 4. The critical point for two colors is (Formula presented), while three colors is near an (Formula presented) fixed point.
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61. A. V. Smilga, Phys. Rep. 291, 1 (1997)]. In lattice perturbation theory, the ultraviolet divergence in the Wilson line is (Formula presented) after exponentiation, for some constant d and lattice spacing a. To isolate this divergence, it might be useful to measure the distribution of eigenvalues for the (Formula presented) Wilson line, and then compute the trace from that distribution.
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70. Define null vectors (Formula presented) and (Formula presented) (Formula presented), and (Formula presented)With (Formula presented) the Debye mass squared, and (Formula presented) the normalized integral over (Formula presented), the usual Lagrangian for hard thermal loops is (Formula presented) 39. This does not look like the expansion of a Wilson line, though. However, an equivalent form is (Formula presented)which does look like an expansion of exponentials of (Formula presented) and (Formula presented).