2004/05/13 by Andreas Ipp, Ipp, Andreas
Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/0405123
Ph.D. thesis, 140 pages, 26 figures, submitted to Vienna University of Technology in November 2003
arxiv created 2004/05/13 · openalex publication_date 2004/05/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
In this doctoral thesis we present the exact large Nf calculation at next-to-leading order of the thermal interaction pressure of deconfined QCD for small and large quark chemical potential where the presence of the Landau pole is negligible numerically. For small values of the coupling we compare our results to existing perturbative results in the literature. Our numerical accuracy allows us to verify and even improve some of the existing perturbative coefficients by Freedman and McLerran for zero temperature or by Vuorinen for finite chemical potential and for linear and non-linear quark number susceptibilities, and to predict new coefficients to the sixth order in the coupling numerically that have not been calculated analytically yet. For larger couplings we determine where perturbation theory ceases to be applicable. For large chemical potential and small temperatures we enter the range of a so-called non-Fermi liquid, which in contrast to a classical Fermi liquid is dominated by long-range quasi-static transverse gauge-boson interactions. In this limit, we complete the previously known leading Tln T-1 contribution to the specific heat, and also go beyond this order to find a series involving anomalous fractional powers T(3+2n)/3 caused by dynamical screening. We calculate their coefficients analytically up to order T7/3 and find that these contributions determine the leading anomalous contribution in full QED and QCD (i.e. at finite Nf).