Preprint

PUBDB-2023-07986

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Sum rules & Tauberian theorems at finite temperature

Marchetto, E. ; Miscioscia, A. (Corresponding author)DESY* ; Pomoni, E.DESY*

2023

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Please use a persistent id in citations: doi:10.3204/PUBDB-2023-07986

Report No.: DESY-23-224; arXiv:2312.13030

Abstract: We study CFTs at finite temperature and derive explicit sum rules for one- point functions of operators by imposing the KMS condition. In the case of a large gap between light and heavy operators, we explicitly compute one-point functions for light operators. Turning to heavy operators we employ Tauberian theorems and compute the asymptotic OPE density for heavy operators, from which we extract the leading terms of the OPE coefficients associated with heavy operators. Furthermore, we approximate and establish bounds for the two-point functions.

Keyword(s): field theory, conformal ; operator product expansion ; sum rule ; finite temperature ; two-point function ; density ; gap

Note: 38 pages

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
2. BrokenSymmetries - Exact Results from Broken Symmetries (101044226) (101044226)
3. DFG project 390833306 - EXC 2121: Quantum Universe (390833306) (390833306)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2023

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Database coverage:
; ; Published

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article Marchetto, E. ; Miscioscia, A. (Corresponding author)DESY* ; Pomoni, E.DESY*
Sum rules & Tauberian theorems at finite temperature
Journal of high energy physics 2024(9), 44 (2024) [10.1007/JHEP09(2024)044]2024     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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