Heavy quark free energy in QCD and in gauge theories with gravity duals

Journal Article · Wed Sep 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.065016· OSTI ID:21421198

Noronha, Jorge ^[1]

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1. Department of Physics, Columbia University, 538 West 120th Street, New York, New York 10027 (United States)

Recent lattice results in pure glue SU(3) theory at high temperatures have shown that the expectation value of the renormalized Polyakov loop approaches its asymptotic limit at high temperatures from above. We show that this implies that the 'heavy quark free energy' obtained from the renormalized loop computed on the lattice does not behave like a true thermodynamic free energy. While this should be expected to occur in asymptotically free gauge theories such as QCD, we use the gauge/string duality to show that in a large class of strongly coupled gauge theories with nontrivial UV fixed points the Polyakov loop reaches its asymptotic value from above only if the dimension of the relevant operator used to deform the conformal field theory is greater than or equal to 3.

• OSTI ID: 21421198
• Journal Information: Physical Review. D, Particles Fields, Vol. 82, Issue 6; Other Information: DOI: 10.1103/PhysRevD.82.065016; (c) 2010 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ASYMPTOTIC SOLUTIONS
B QUARKS
C QUARKS
CONFORMAL INVARIANCE
DUALITY
EXPECTATION VALUE
FREE ENERGY
GAUGE INVARIANCE
GRAVITATION
LATTICE FIELD THEORY
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
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PHYSICAL PROPERTIES
POSTULATED PARTICLES
QUARKS
SU GROUPS
SYMMETRY GROUPS
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