Wilson loops from multicentre and rotating branes, mass gaps and phase structure in gauge theories

Details Wilson loops from multicentre and rotating branes, mass gaps and phase structure in gauge theories Wilson loops from multicentre and rotating branes, mass gaps and phase structure in gauge theories

1999-06-25

arxiv.org/abs/hep-th/9906201v2

Adv.Theor.Math.Phys. 3 (1999) 851-887

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, latex, 7 figures; v2: no substantial changes, version to appear in Adv. Theor. Math. Phys

Scientific paper

Within the AdS/CFT correspondence we use multicentre D3-brane metrics to investigate Wilson loops and compute the associated heavy quark-antiquark potentials for the strongly coupled SU(N) super-Yang-Mills gauge theory, when the gauge symmetry is broken by the expectation values of the scalar fields. For the case of a uniform distribution of D3-branes over a disc, we find that there exists a maximum separation beyond which there is no force between the quark and the antiquark, i.e. the screening is complete. We associate this phenomenon with the possible existence of a mass gap in the strongly coupled gauge theory. In the finite-temperature case, when the corresponding supergravity solution is a rotating D3-brane solution, there is a class of potentials interpolating between a Coulombic and a confining behaviour. However, above a certain critical value of the mass parameter, the potentials exhibit a behaviour characteristic of statistical systems undergoing phase transitions. The physical path preserves the concavity property of the potential and minimizes the energy. Using the same rotating-brane solutions, we also compute spatial Wilson loops, associated with the quark-antiquark potential in models of three-dimensional gauge theories at zero temperature, with similar results.

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