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Non-perturbative study of spectral function and its application in Quark\n Gluon Plasma

2017/10/17 by Aritra Bandyopadhyay, Bandyopadhyay, Aritra
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Nuclear Theory (nucl-th) #Quantum Chromodynamics and Particle Interactions #Scientific Research and Discoveries

paper · pdf · doi:10.48550/arxiv.1710.06226

openalex publication_date 2017/10/17 · openalex created_date 2022/09/01 · openalex updated_date 2026/07/28

Abstract

The thesis contains studies of properties quark-gluon plasma, using some\nnon-perturbative techniques. It contains a brief introduction of quark-gluon\nplasma (QGP) and discussion on various signatures along with a motivation for\nthis thesis work. It presents the basic mathematical tools and ingredients\nrequired for the thesis, i.e. basics of QCD, Imaginary and Real Time Formalism,\nHard Thermal Loop perturbation theory (HTLpt), Gribov-Zwanziger (GZ) action,\nthe Correlation Function along with the Spectral Function and Operator Product\nExpansion (OPE) and QCD in magnetized medium. OPE is used to compute the\ndilepton rate in intermediate mass range by incorporating the non-perturbative\ndynamics of QCD through the inclusion of non-vanishing quark and gluon\ncondensates in combination with the Green functions in momentum space. Also the\nmagnetic scale (g2T) in the HTL perturbation theory, related to the confining\nproperties of the QCD is taken into account using the GZ action through a mass\nparameter, which reflects a new space-like quark mode in the collective\nexcitation. The impact of this new exciting mode on the DPR has been studied\nand its important consequences has been discussed. A hot magnetized medium\nintroduces another scale in the system in addition to temperature.\nElectromagnetic spectral properties and DPR are studied completely analytically\nin presence of both strong and weak background magnetic fields at finite\ntemperature. The Debye screening in a hot and magnetized medium has been\nstudied which reveals some of the intriguing properties of the medium in\npresence of both strong and weak magnetic field. Also an important quantity\nthat characterizes the QGP, namely quark number susceptibility has been\ninvestigated. Most of the non-perturbative results discussed in this thesis are\ncompared with those of perturbative ones and lattice QCD.\n

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