Effect of chiral imbalance on the electrical conductivity of hot and dense quark matter using Green–Kubo method within the 2-flavour gauged NJL model

Snigdha Ghosh; Nilanjan Chaudhuri; Sourav Sarkar; Pradip Roy

doi:10.1140/epjc/s10052-024-13691-9

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2024) 84: 1321
https://doi.org/10.1140/epjc/s10052-024-13691-9

Regular Article - Theoretical Physics

Effect of chiral imbalance on the electrical conductivity of hot and dense quark matter using Green–Kubo method within the 2-flavour gauged NJL model

Snigdha Ghosh¹^a, Nilanjan Chaudhuri²^,4, Sourav Sarkar²^,4 and Pradip Roy³^,4

¹ Government General Degree College Kharagpur-II, Paschim Medinipur, 721149, Kharagpur, West Bengal, India
² Variable Energy Cyclotron Centre, 1/AF Bidhannagar, 700064, Kolkata, India
³ Saha Institute of Nuclear Physics, 1/AF Bidhannagar, 700064, Kolkata, India
⁴ Homi Bhabha National Institute, Training School Complex, Anushaktinagar, 400085, Mumbai, India

^a snigdha.ghosh@bangla.gov.in, snigdha.physics@gmail.com

Received: 24 June 2024
Accepted: 6 December 2024
Published online: 26 December 2024

Abstract

The electrical conductivity of hot and dense quark matter is calculated using the 2-flavour gauged Nambu–Jona–Lasinio (NJL) model in the presence of a chiral imbalance quantified in terms of a chiral chemical potential (CCP). To this end, the in-medium spectral function corresponding to the vector current correlator is evaluated employing the real time formulation of finite temperature field theory. Taking the long wavelength limit of the spectral function we extract the electrical conductivity using the Green–Kubo relation. The thermal widths of the quarks/antiquarks that appear in the expression of electrical conductivity are calculated by considering the $2 \to 2$ $2\rightarrow 2$ scattering in the NJL model. The scattering amplitudes containing the polarization functions of the mesonic modes in the scalar and pseudoscalar channels are also evaluated by considering finite value of CCP. We find that the ratio of electrical conductivity to temperature has significant dependence on CCP especially in the low temperature region.

© The Author(s) 2024

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