Effects of quark anomalous magnetic moment on the thermodynamical properties and mesonic excitations of magnetized hot a
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Regular Article - Theoretical Physis
Effects of quark anomalous magnetic moment on the thermodynamical properties and mesonic excitations of magnetized hot and dense matter in PNJL model Nilanjan Chaudhuri1,2,a , Snigdha Ghosh3,b , Sourav Sarkar1,2,c , Pradip Roy2,3,d 1
Variable Energy Cyclotron Centre, 1/AF Bidhannagar, Kolkata 700 064, India Homi Bhabha National Institute, Training School Complex, Anushaktinagar, Mumbai 400085, India 3 Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Kolkata 700 064, India
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Received: 9 May 2020 / Accepted: 11 August 2020 © Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020 Communicated by Carsten Urbach
Abstract Various thermodynamic quantities and the phase diagram of strongly interacting hot and dense magnetized quark matter are obtained with the 2-flavour Nambu–JonaLasinio model with Polyakov loop considering finite values of the anomalous magnetic moment (AMM) of the quarks. Susceptibilities associated with constituent quark mass and traced Polyakov loop are used to evaluate chiral and deconfinement transition temperatures. It is found that, inclusion of the AMM of the quarks in presence of the background magnetic field results in a substantial decrease in the chiral as well as deconfinement transition temperatures in contrast to an enhancement in the chiral transition temperature in its absence. Using standard techniques of finite temperature field theory, the two point thermo-magnetic mesonic correlation functions in the scalar (σ ) and neutral pseudoscalar (π 0 ) channels are evaluated to calculate the masses of σ and π 0 considering the AMM of the quarks.
1 Introduction Presence of a finite background magnetic field leads to a large number of exotic phenomena in strongly interacting matter. Among these some of the important ones are Chiral Magnetic Effect (CME) [1–4], Magnetic Catalysis (MC) [5–8] and Inverse Magnetic Catalysis (IMC) [9,10] of dynamical chiral symmetry breaking which may cause significant change in the nature of electro-weak [11–14], chiral and a e-mail:
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b e-mails: [email protected]; [email protected] (cor-
responding author) c e-mail:
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superconducting phase transitions [15–18], electromagnetically induced superconductivity and superfluidity [19,20] and so on. Understanding these aspects could help us to get a better picture of our main objective of understanding quantum chromodynamics (QCD). It has been reported that strong magnetic fields of the order of 1018 G [2,21] or larger may be generated in non-central heavy-ion collisions, at RHIC and LHC which can influence substantial change in the properties of QCD matter as the magnitudes of these fields are comparable to the QCD scale i.e. eB ≈ m 2π (note that in natural units, 1018 G ≈ m 2π ≈ 0.02 GeV2 ). It is conjectured that the presence of finite electrical conductivity of the hot and dense medium created during heavy ion collisions c
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