The spatial string tension from the field correlator method

N. O. Agasian; Z. V. Khaidukov; Yu. A. Simonov

doi:10.1140/epjc/s10052-023-12060-2

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2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2023) 83: 912
https://doi.org/10.1140/epjc/s10052-023-12060-2

Regular Article - Theoretical Physics

The spatial string tension from the field correlator method

N. O. Agasian¹, Z. V. Khaidukov¹^,2^b and Yu. A. Simonov¹

¹ NRC “Kurchatov Institute”, Moscow, Russia
² Moscow Institute of Physics and Technology, 141701, Dolgoprudny, Russia

^b khaidukov.zv@phystech.edu

Received: 3 April 2023
Accepted: 24 September 2023
Published online: 10 October 2023

Abstract

The behaviour of spatial string tension $σ_{s} (T)$ $\sigma _s(T)$ as a function of the temperature T is found in the framework of the Field Correlator Method (FCM). Here the string tension is calculated using the gluelump Green’s function, where gluons in the gluelump are interacting via the same spatial string tension. The resulting T-dependence was obtained without extra parameters in the region $T_{c} < T < 5 T_{c}$ $$T_c< T < 5 T_c$$ using the formalism of elliptic functions $θ_{3}$ $\theta _3$ , demonstrating good agreement with available lattice data.

© The Author(s) 2023

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