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Title: Half-BPS Wilson loop and AdS 2 /CFT 1

Authors:
; ;
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1372706
Grant/Contract Number:
SC0013699
Resource Type:
Journal Article: Published Article
Journal Name:
Nuclear Physics. B
Additional Journal Information:
Journal Volume: 922; Journal Issue: C; Related Information: CHORUS Timestamp: 2017-08-23 09:31:02; Journal ID: ISSN 0550-3213
Publisher:
Elsevier
Country of Publication:
Netherlands
Language:
English

Citation Formats

Giombi, Simone, Roiban, Radu, and Tseytlin, Arkady A. Half-BPS Wilson loop and AdS 2 /CFT 1. Netherlands: N. p., 2017. Web. doi:10.1016/j.nuclphysb.2017.07.004.
Giombi, Simone, Roiban, Radu, & Tseytlin, Arkady A. Half-BPS Wilson loop and AdS 2 /CFT 1. Netherlands. doi:10.1016/j.nuclphysb.2017.07.004.
Giombi, Simone, Roiban, Radu, and Tseytlin, Arkady A. 2017. "Half-BPS Wilson loop and AdS 2 /CFT 1". Netherlands. doi:10.1016/j.nuclphysb.2017.07.004.
@article{osti_1372706,
title = {Half-BPS Wilson loop and AdS 2 /CFT 1},
author = {Giombi, Simone and Roiban, Radu and Tseytlin, Arkady A.},
abstractNote = {},
doi = {10.1016/j.nuclphysb.2017.07.004},
journal = {Nuclear Physics. B},
number = C,
volume = 922,
place = {Netherlands},
year = 2017,
month = 9
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1016/j.nuclphysb.2017.07.004

Citation Metrics:
Cited by: 6works
Citation information provided by
Web of Science

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  • Cited by 18
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  • We give a new derivation of the quark-antiquark potential in the Wilson loop context. This makes more explicit the approximations involved and enables an immediate extension to the three-quark case. In the [ital q[bar q]] case we find the same semirelativistic potential obtained in preceding papers but for a question of ordering. In the 3[ital q] case we find a spin-dependent potential identical to that already derived in the literature from the [ital ad] [ital hoc] and incorrect assumption of scalar confinement. Furthermore we obtain the correct form of the spin-independent potential up to the 1/[ital m][sup 2] order.
  • In this paper we express the velocity-dependent, spin-dependent heavy quark potential {ital V}{sub {ital q{bar q}}} in QCD in terms of a Wilson loop {ital W}({Gamma}) determined by pure Yang-Mills theory. We use an effective dual theory of long-distance Yang-Mills theory to calculate {ital W}({Gamma}) for large loops, i.e., for loops of size {ital R}{approx_gt}{ital R}{sub FT}. [{ital R}{sub FT} is the flux tube radius, fixed by the value of the Higgs (monopole) mass of the dual theory, which is a concrete realization of the Mandelstam-{close_quote}t Hooft dual superconductor mechanism of confinement.] We replace {ital W}({Gamma}) by {ital W}{sub eff}({Gamma}),more » given by a functional integral over the dual variables, which for {ital R}{approx_gt}{ital R}{sub FT} can be evaluated by a semiclassical expansion, since the dual theory is weakly coupled at these distances. The classical approximation gives the leading contribution to {ital W}{sub eff}({Gamma}) and yields a velocity-dependent heavy quark potential that for large {ital R} becomes linear in {ital R}, and that for small {ital R} approaches lowest-order perturbative QCD. This latter fact means that these results should remain applicable down to distances where radiative corrections giving rise to a running coupling constant become important. The spin dependence of the potential at long range as well as at short range reflects the vector coupling of quarks in QCD combined with the dual treatment of long-distance Yang-Mills theory. The methods developed here should be applicable to any realization of the dual superconductor mechanism. They give an expression determining {ital W}{sub eff}({Gamma}) independent of the classical approximation, but semiclassical corrections due to fluctuations of the flux tube are not worked out in this paper. Taking these into account should lead to an effective string theory free from the conformal anomaly. {copyright} {ital 1996 The American Physical Society.}« less