Strongly coupled supersymmetric Yang-Mills plasma on the Coulomb branch. I. Thermodynamics
We study N = 4 super Yang-Mills theory on the Coulomb branch (cSYM) in the strong coupling limit by using the AdS / CFT correspondence. The dual geometry is the rotating black 3-brane Type IIB supergravity solution with a single nonzero rotation parameter r 0 which sets a fixed mass scale corresponding to the scalar condensate < O > ~$$r$$ $$^{4}_{0}$$ in the Coulomb branch. We introduce a new ensemble where T and < O > are held fixed; i.e., the free energy F(T, < O >) is a function of T and < O >. We compute the equation of state (EoS) of N = 4 cSYM at finite T, as well as the heavy quark-antiquark potential and the quantized mass spectrum of the scalar and spin-2 glueballs at T = 0. By computing the Wilson loop (minimal surface) at T = 0, we determine the heavy quark-antiquark potential V(L) to be the Cornell potential, which is confining for large separation L. At T ≠ 0, we find two black hole branches: the large black hole and small black hole branches. For the large black hole branch, that has positive specific heat, we find qualitatively similar EoS to that of pure Yang-Mills theory on the lattice. For the small black hole branch, that has negative specific heat, we find an EoS where the entropy and energy densities decrease with T. We also find a second-order phase transition between the large and small black hole branches with critical temperature Tc = Tmin.
- Research Organization:
- Stony Brook Univ., NY (United States); State Univ. of New York (SUNY), Albany, NY (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC)
- Grant/Contract Number:
- FG02-88ER40388
- OSTI ID:
- 1560779
- Alternate ID(s):
- OSTI ID: 1610119
- Journal Information:
- Physical Review. D., Journal Name: Physical Review. D. Vol. 100 Journal Issue: 6; ISSN 2470-0010
- Publisher:
- American Physical Society (APS)Copyright Statement
- Country of Publication:
- United States
- Language:
- English
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