| Home > Publications database > Thermal effects in conformal field theories |
| Dissertation / PhD Thesis | PUBDB-2025-03597 |
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2025
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Please use a persistent id in citations: urn:nbn:de:gbv:18-ediss-130548 doi:10.3204/PUBDB-2025-03597
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).
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