https://doi.org/10.1140/epjc/s10052-021-09596-6
Regular Article - Theoretical Physics
Critical exponents and transport properties near the QCD critical endpoint from the statistical bootstrap model
1
Department of Physics, Shivaji University, 416 004, Kolhapur, Maharashtra, India
2
School of Physical Sciences, National Institute of Science Education and Research Bhubaneswar HBNI, 752050, Jatni, Odisha, India
3
Theory Division, Physical Research Laboratory, 380 009, Navarangpura, Ahmedabad, India
4
Department of Physics, University of Turin, Turin, Italy
5
INFN, Turin, Via Pietro Giuria 1, 10125, Turin, Italy
Received:
17
February
2021
Accepted:
29
August
2021
Published online:
7
September
2021
We present an estimate of the behavior of the shear and bulk viscosity coefficients when the QCD critical point is approached from the hadronic side, describing hadronic matter within the statistical bootstrap model of strong interactions. The bootstrap model shows critical behavior near the quark-hadron transition temperature if the parameter characterizing the degeneracy of Hagedorn states is properly chosen. We calculate the critical exponents and amplitudes of relevant thermodynamic quantities near the QCD critical point and combine them with an Ansatz for the shear and bulk viscosity coefficients to derive the behavior of these coefficients near the critical point. The shear viscosity to entropy density ratio is found to decrease when the temperature is increased, and to approach the Kovtun–Son–Starinets bound faster near the critical point, while the bulk viscosity coefficient is found to rise very rapidly.
© The Author(s) 2021
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3