%0 Thesis
%A Miscioscia, Alessio
%T Thermal effects in conformal field theories
%I University of Hamburg
%V Dissertation
%M PUBDB-2025-03597
%P 205
%D 2025
%Z Dissertation, University of Hamburg, 2025
%X Conformal Field Theories (CFTs) are special classes of quantum field theories thatfind applications ranging from critical phenomena to theories of quantum gravity viaholography. Understanding thermal effects in CFTs is crucial: criticality is experimen-tally probed at finite temperature, and, from the holographic perspective, the studyof thermal CFTs is dual to the study of black holes in Anti-de Sitter space. In thisthesis, we explore the kinematics and dynamics of finite-temperature CFTs by analyz-ing broken and unbroken symmetries and adapting various analytical and numericalbootstrap approaches to finite-temperature correlation functions. These methods arenon-perturbatively valid and can be tested against exactly solvable models, such asfree theories and two-dimensional systems, as well as compared with perturbative cal-culations. The main applications discussed in this thesis concern one- and two-pointfunctions and the free energy density in the O(N) models in three dimensions, withparticular focus on the 3d Ising, XY, and Heisenberg models (N = 1,2,3).
%F PUB:(DE-HGF)11
%9 Dissertation / PhD Thesis
%U https://bib-pubdb1.desy.de/record/636042