Semiclassical quantization of the superstring and Hagedorn temperature

Author:

Bigazzi Francesco,Canneti Tommaso,Mück WolfgangORCID

Abstract

Abstract In a recent paper [1], the semiclassical quantization of a string, winding once around the compact Euclidean time circle, on a supergravity background dual to the deep infrared regime of a confining finite temperature gauge theory, was carried out. The string mass-shell condition and, by extrapolation, the Hagedorn temperature to leading order in the holographic limit was deduced. In this work, we improve on those results in three ways. First, we fix some missing details of the related light-cone quantization analysis. Second, we reconsider the problem under the lens of a background-covariant geometrical formalism. This allows us to put the semiclassical mass-shell condition on more solid grounds. Finally, going beyond the semiclassical regime, we compute the Hagedorn temperature at next-to-leading order in the holographic limit. The sub-leading correction turns out to arise entirely from the contribution of the zero modes of the massive worldsheet scalar fields. Our result matches that of a recent analysis in the literature based on the Horowitz-Polchinski stringy star effective model.

Publisher

Springer Science and Business Media LLC

Subject

Nuclear and High Energy Physics

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Self gravitating spinning string condensates;Journal of High Energy Physics;2024-07-24

2. Level repulsion in $$ \mathcal{N} $$ = 4 super-Yang-Mills via integrability, holography, and the bootstrap;Journal of High Energy Physics;2024-07-08

3. The ABJM Hagedorn Temperature from Integrability;Journal of High Energy Physics;2023-10-11

4. Higher order corrections to the Hagedorn temperature at strong coupling;Journal of High Energy Physics;2023-10-10

5. The asymptotic form of the Hagedorn temperature in planar super Yang-Mills;Journal of Physics A: Mathematical and Theoretical;2023-10-09

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