On Asymptotic Freedom and Confinement from Type-IIB Supergravity

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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9 pages, latex, 1 figure v2: minor aesthetic changes v3: some scale factors corrected, version to appear in PLB

Scientific paper

10.1016/S0370-2693(99)00431-1

We present a new type-IIB supergravity vacuum that describes the strong coupling regime of a non-supersymmetric gauge theory. The latter has a running coupling such that the theory becomes asymptotically free in the ultraviolet. It also has a running theta angle due to a non-vanishing axion field in the supergravity solution. We also present a worm-hole solution, which has finite action per unit four-dimensional volume and two asymptotic regions, a flat space and an AdS^5\times S^5. The corresponding N=2 gauge theory, instead of being finite, has a running coupling. We compute the quark-antiquark potential in this case and find that it exhibits, under certain assumptions, an area-law behaviour for large separations.

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