Evolution of fixed-end strings and the off-shell disk amplitude

Orland, Peter

doi:10.1016/s0550-3213(01)00188-2

Cited by 7 publications

(5 citation statements)

References 16 publications

(14 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is well-known [26,27,28] how this potential is calculable for the Nambu-Goto string, including the Lüscher term. Then the most convenient choice is to parametrize the string world-sheet by the coordinates along the T -and R-axes, which are conformal.…”

Section: Remark On the Area Law For Large Loops In Qcdmentioning

confidence: 99%

Wilson loops and QCD/string scattering amplitudes

Makeenko

Olesen

2009

Phys. Rev. D

View full text Add to dashboard Cite

We generalize modern ideas about the duality between Wilson loops and scattering amplitudes in N = 4 SYM to large N QCD by deriving a general relation between QCD meson scattering amplitudes and Wilson loops. We then investigate properties of the open-string disk amplitude integrated over reparametrizations. When the Wilson loop is approximated by the area behavior, we find that the QCD scattering amplitude is a convolution of the standard Koba-Nielsen integrand and a kernel. As usual poles originate from the first factor, whereas no (momentum dependent) poles can arise from the kernel. We show that the kernel becomes a constant when the number of external particles becomes large. The usual Veneziano amplitude then emerges in the kinematical regime where the Wilson loop can be reliably approximated by the area behavior. In this case we obtain a direct duality between Wilson loops and scattering amplitudes when spatial variables and momenta are interchanged, in analogy with the N =4 SYM case.

show abstract

Section: Remark On the Area Law For Large Loops In Qcdmentioning

confidence: 99%

Wilson loops and QCD/string scattering amplitudes

Makeenko

Olesen

2009

Phys. Rev. D

View full text Add to dashboard Cite

show abstract

“…In[52] some words of caution were raised regarding the use of ζ-function regularization for the string with the present boundary conditions. However, in[26] it was shown that in the Polyakov loop correlator geometry, where open strings have very similar boundary conditions, the results of this procedure are perfectly consistent.…”

mentioning

confidence: 99%

New numerical results and novel effective string predictions for Wilson loops

Billó

Caselle

Pellegrini

2012

J. High Energ. Phys.

View full text Add to dashboard Cite

We compute the prediction of the Nambu-Goto effective string model for a rectangular Wilson loop up to three loops. This is done through the use of an operatorial, first order formulation and of the open string analogues of boundary states. This result is interesting since there are universality theorems stating that the predictions up to three loops are common to all effective string models. To test the effective string prediction, we use the Montecarlo evaluation, in the 3d Ising gauge model, of an observable (the ratio of two Wilson loops with the same perimeter) for which boundary effects are relatively small. Our simulation attains a level of precision which is sufficient to test the two-loop correction. The three-loop correction seems to go in the right direction, but is actually yet beyond the reach of our simulation, since its effect is comparable with the statistical errors of the latter.

show abstract

“…In Ref [32]. some interesting words of caution were raised regarding the use of ζ-function regularization for the string with the present boundary conditions 5.…”

mentioning

confidence: 99%

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

Billó

Caselle

2005

J. High Energy Phys.

View full text Add to dashboard Cite

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.

show abstract

Evolution of fixed-end strings and the off-shell disk amplitude

Cited by 7 publications

References 16 publications

Wilson loops and QCD/string scattering amplitudes

Wilson loops and QCD/string scattering amplitudes

New numerical results and novel effective string predictions for Wilson loops

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

Contact Info

Product

Resources

About