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QCD condensates and holographic Wilson loops for asymptotically AdS spaces
High Energy Physics - Phenomenology · Submitted 5 Nov 2013
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim It is shown that the UV value of the condensates is universal in the sense that they only depends on the first coefficients of the difference with the AdS case.
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The abstract, sentence by sentence
The minimization of the Nambu-Goto action for a surface whose contour defines a circular Wilson loop of radius a placed at a finite value of the coordinate orthogonal to the boundary is considered. This is done for asymptotically AdS spaces. The condensates of even dimension $n=2$ through $10$ are calculated in terms of the coefficient of $a^{n}$ in the expansion of the on-shell subtracted Nambu-Goto action for small $a$ The subtraction employed is such that it presents no conflict with conformal invariance in the AdS case and need not introduce an additional infrared scale for the case of confining geometries. It is shown that the UV value of the condensates is universal in the sense that they only depends on the first coefficients of the difference with the AdS case.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The minimization of the Nambu-Goto action for a surface whose contour defines a circular Wilson loop of radius a placed at a finite value of the coordinate orthogonal to the boundary is considered. | contribution 0.63 | 0.80 | 0.04 | asserted 0.85 |
| s1 | This is done for asymptotically AdS spaces. | method 0.39 | 0.63 | 0.03 | asserted 0.95 |
| s2 | The condensates of even dimension $n=2$ through $10$ are calculated in terms of the coefficient of $a^{n}$ in the expansion of the on-shell subtracted Nambu-Goto action for small $a$ The subtraction employed is such that it presents no conflict with conformal invariance in the AdS case and need not introduce an additional infrared scale for the case of confining geometries. | method 0.50 | 0.93 | 0.24 | asserted 1.00 |
| s3 | It is shown that the UV value of the condensates is universal in the sense that they only depends on the first coefficients of the difference with the AdS case. | result 0.95 | 0.91 | 0.60 | asserted 1.00 |
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Original abstract
The minimization of the Nambu-Goto action for a surface whose contour defines a circular Wilson loop of radius a placed at a finite value of the coordinate orthogonal to the boundary is considered. This is done for asymptotically AdS spaces. The condensates of even dimension $n=2$ through $10$ are calculated in terms of the coefficient of $a^{n}$ in the expansion of the on-shell subtracted Nambu-Goto action for small $a$ The subtraction employed is such that it presents no conflict with conformal invariance in the AdS case and need not introduce an additional infrared scale for the case of confining geometries. It is shown that the UV value of the condensates is universal in the sense that they only depends on the first coefficients of the difference with the AdS case.
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