Polyakov loop correlators from D0-brane interactions in bosonic string theory

Abstract

In this paper we re-derive the effective Nambu-Goto theory result for the Polyakov loop correlator, starting from the free bosonic string and using a covariant quantization. The boundary conditions are those of an open string attached to two D0-branes at spatial distance R, in a target space with compact euclidean time. The one-loop free energy contains topologically distinct sectors corresponding to multiple covers of the cylinder in target space bordered by the Polyakov loops. The sector that winds once reproduces exactly the Nambu-Goto partition function. In our approach, the world-sheet duality between the open and closed channel is most evident and allows for an explicit interpretation of the free energy in terms of tree level exchange of closed strings between boundary states. Our treatment is fully consistent only in d=26; extension to generic d may be justified for large R, and is supported by Montecarlo data. At shorter scales, consistency and Montecarlo data seem to suggest the necessity of taking into account the Liouville mode of Polyakov's formulation.

17 pages, 4 figures, minor corrections, a few references added, version accepted for publication in JHEP

References in corpus (7)

• String excitation energies in SU(N) gauge theories beyond the free-string approximation
• The Polyakov Loop and its Relation to Static Quark Potentials and Free Energies
• A numerical study of confinement in compact QED
• Static quark potential and effective string corrections in the (2+1)-d SU(2) Yang-Mills theory
• Comparing the Nambu-Goto string with LGT results
• Static potential, force, and flux-tube profile in 4D compact U(1) lattice gauge theory with the multi-level algorithm
• Confinement and the effective string theory in SU(N->oo) : a lattice study

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