dorsal/arxiv
View SchemaThe Static Heavy Quark-Antiquark Potential within String Theory in Arbitrary Stationary Backgrounds
| Authors | Nikita Tsegelnik |
|---|---|
| Categories | |
| ArXiv ID | 2601.10668vv1 |
| URL | https://arxiv.org/abs/2601.10668 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
We analyze a static open string in a general stationary spacetime, which can represent a heavy quark-antiquark pair within the holographic framework or effective theory. We establish that for a simple U-shaped string with only radial dependence on the space string coordinate, $x_r'(\sigma) \neq 0$, the string is generally not symmetric about its turning point, and the symmetry restores only for backgrounds with $h_{pr} = G_{00} G_{pr} - G_{0p} G_{0r} = 0$. Consequently, such asymmetric strings directly probe a possibility of the parity violation in the quark-antiquark interaction. Nevertheless, we identify a wide family of metrics for which the symmetry is preserved, enabling a direct isolation of the linear-in-distance term in the static interquark potential for simple symmetric string configurations, even in non-diagonal backgrounds. Applying the holographic framework, we further study the Rindler-AdS spacetime dual to an accelerated $\mathcal{N}=4$ super Yang-Mills plasma. We show that the distance between quarks decreases, the static potential between them increases, and the deconfinement phase transition temperature, $T_{\rm dec} = (\pi/3) T_H = a_c/6$, increases with an acceleration. However, we observe that an acceleration-scaled potential as a function of the acceleration-scaled distance does not depend on the certain value of the acceleration This result, reflecting the scale invariance and self-similarity of the holographic setup, can be also obtained in the dimensionless metric after scaling of the coordinates onto the acceleration, $\tilde{x}_i = a_c x_i$, for which one obtains an universal value of the phase transition temperature, $\tilde{T}_{\rm dec} = (\pi/3) \tilde{T}_H = 1/6$.
{
"annotation_id": "4bda288c-60cf-433f-8054-ba844aa1be33",
"date_created": "2026-02-17T05:53:26.420000Z",
"date_modified": "2026-02-17T05:53:26.420000Z",
"file_hash": "21ad8f814186f672a20163262abbcfe916cf3fbc35f897fd506881c01f8b5c6b",
"private": false,
"record": {
"abstract": "We analyze a static open string in a general stationary spacetime, which can represent a heavy quark-antiquark pair within the holographic framework or effective theory. We establish that for a simple U-shaped string with only radial dependence on the space string coordinate, $x_r\u0027(\\sigma) \\neq 0$, the string is generally not symmetric about its turning point, and the symmetry restores only for backgrounds with $h_{pr} = G_{00} G_{pr} - G_{0p} G_{0r} = 0$. Consequently, such asymmetric strings directly probe a possibility of the parity violation in the quark-antiquark interaction. Nevertheless, we identify a wide family of metrics for which the symmetry is preserved, enabling a direct isolation of the linear-in-distance term in the static interquark potential for simple symmetric string configurations, even in non-diagonal backgrounds. Applying the holographic framework, we further study the Rindler-AdS spacetime dual to an accelerated $\\mathcal{N}=4$ super Yang-Mills plasma. We show that the distance between quarks decreases, the static potential between them increases, and the deconfinement phase transition temperature, $T_{\\rm dec} = (\\pi/3) T_H = a_c/6$, increases with an acceleration. However, we observe that an acceleration-scaled potential as a function of the acceleration-scaled distance does not depend on the certain value of the acceleration This result, reflecting the scale invariance and self-similarity of the holographic setup, can be also obtained in the dimensionless metric after scaling of the coordinates onto the acceleration, $\\tilde{x}_i = a_c x_i$, for which one obtains an universal value of the phase transition temperature, $\\tilde{T}_{\\rm dec} = (\\pi/3) \\tilde{T}_H = 1/6$.",
"arxiv_id": "2601.10668",
"authors": [
"Nikita Tsegelnik"
],
"categories": [
"hep-th"
],
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "The Static Heavy Quark-Antiquark Potential within String Theory in Arbitrary Stationary Backgrounds",
"url": "https://arxiv.org/abs/2601.10668",
"version": "v1"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "d376e685-b211-458f-8d4f-199c9b837d8b",
"id": "arXiv Dataset",
"type": "Model",
"variant": "snapshot-2026-01-17",
"version": "0.1.0"
},
"user_id": 1000002
}