Streched String with Self-Interaction at the Hagedorn Point: Spatial Sizes and Black Hole

TL;DR

This paper investigates the properties of a discretized transverse string near its Hagedorn temperature, revealing how self-interactions influence its size, distribution, and potential role in high-energy scattering processes, with implications for collider physics.

Contribution

It introduces a model of a discretized transverse string with self-interactions near the Hagedorn point, connecting string dynamics to Pomeron kinematics and azimuthal asymmetries in collider collisions.

Findings

Self-interactions cause the string to contract in size.

The string exhibits asymmetries leading to azimuthal particle production.

Potential dominance of such strings in holographic Pomeron processes.

Abstract

We analyze the length, mass and spatial distribution of a discretized transverse string in $D_\perp$ dimensions with fixed end-points near its Hagedorn temperature. We suggest that such a string may dominate the (holographic) Pomeron kinematics for dipole-dipole scattering at intermediate and small impact parameters. Attractive self-string interactions cause the transverse string size to contract away from its diffusive size, a mechanism reminiscent of the string-black-hole transmutation. The string shows sizable asymmetries in the transverse plane that translate to primordial azimuthal asymmetries in the stringy particle production in the Pomeron kinematics for current pp and pA collisions at collider energies.