Journal Article

PUBDB-2025-04236

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Conformal line defects at finite temperature

Barrat, J. (Corresponding author)DESY* ; Fiol, B. ; Marchetto, E.DESY* ; Miscioscia, A. (Corresponding author)DESY* ; Pomoni, E.DESY*

2025
SciPost Foundation Amsterdam

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Please use a persistent id in citations: doi:10.21468/SciPostPhys.18.1.018  doi:10.3204/PUBDB-2025-04236

Report No.: DESY-24-099; arXiv:2407.14600

Abstract: We study conformal field theories at finite temperature in the presence of a temporal conformal line defect, wrapping the thermal circle, akin to a Polyakov loop in gauge theories. Although several symmetries of the conformal group are broken, the model can still be highly constrained from its features at zero temperature. In this work we show that the defect and bulk one and two-point correlators can be written as functions of zero-temperature data and thermal one-point functions (defect and bulk). The defect one-point functions are new data and they are induced by thermal effects of the bulk. For this new set of data we derive novel sum rules and establish a bootstrap problem for the thermal defect one-point functions from the KMS condition. We also comment on the behaviour of operators with large scaling dimensions. Additionally, we relate the free energy and entropy density to the OPE data through the one-point function of the stress-energy tensor. Our formalism is validated through analytical computations in generalized free scalar field theory, and we present new predictions for the $O(N)$ model with a magnetic impurity in the $\varepsilon$-expansion and the large $N$ limit.

Note: SciPost Phys. 18, 018 (2025). 38 pages, 2 figures

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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 G:(GEPRIS)390833306 - EXC 2121: Quantum Universe (390833306) (390833306)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2025

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Database coverage:
; ; ; ; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; DOAJ Seal ; Essential Science Indicators ; IF >= 5 ; JCR ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Preprint Barrat, J.DESY* ; Fiol, B. ; Marchetto, E. ; Miscioscia, A. (Corresponding author)DESY* ; Pomoni, E.DESY*
Conformal line defects at finite temperature
[10.3204/PUBDB-2024-04942]     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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