Dissertation / PhD Thesis

PUBDB-2025-03597

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Thermal effects in conformal field theories

Miscioscia, A. (Corresponding author)DESY* ; Pomoni, E. (Thesis advisor)DESY* ; Schomerus, V. (Thesis advisor)DESY*

2025

Abstract: 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).

Note: Dissertation, University of Hamburg, 2025

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2025

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