Preprint

PUBDB-2024-04942

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

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

2024

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Please use a persistent id in citations: doi:10.3204/PUBDB-2024-04942

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

Abstract: We investigate conformal field theories at finite temperature in the presence of a conformal line defect, specifically one that wraps the thermal circle, akin to a Polyakov loop in gauge theories.Despite the symmetry being largely broken, the system retains crucial constraints from its zero-temperature counterpart.In this work, we focus on relating the one- and two-point functions of bulk and defect operators to non-thermal data, augmented by thermal one-point functions.From the KMS condition, we derive sum rules that establish a bootstrap problem for defect one-point functions.We also comment on the behavior 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 epsilon-expansion and the large N limit.

Keyword(s): field theory, scalar ; tensor, energy-momentum ; field theory, conformal ; effect, thermal ; entropy, density ; model, O(N) ; symmetry, conformal ; group, conformal ; scaling, dimension ; defect ; finite temperature ; Polyakov loop ; operator product expansion ; sum rule ; correlation function ; bootstrap ; expansion 1/N ; gauge field theory ; free energy ; circle

Note: 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 390833306 - EXC 2121: Quantum Universe (390833306) (390833306)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2024

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