Journal Article PUBDB-2025-04376

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Line defect correlators in fermionic CFTs

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2025
Springer Heidelberg

Journal of high energy physics 05(5), 146 () [10.1007/JHEP05(2025)146]
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Report No.: DESY-23-055; HU-EP-23/10-RTG; arXiv:2304.13588

Abstract: Scalar-fermion models, such as the Gross-Neveu-Yukawa model, admit natural 1d defects given by the exponential of a scalar field integrated along a straight line. In 4 − ε dimensions the defect coupling is weakly relevant and the setup defines a non-trivial interacting defect CFT. In this work we study correlation functions on these defect CFTs to order ε. We focus on 1d correlators constrained to the line, which include canonical operators like the displacement and the one-dimensional analog of the spin field. These results give access to perturbative CFT data that can be used as input in the numerical bootstrap. We also consider local operators outside the line, in particular two-point functions of scalars whose dynamics are non-trivial due to the presence of the defect.

Keyword(s): field theory: conformal ; operator: local ; two-point function: scalar ; dimension: 1 ; field theory: scalar ; defect ; correlation function ; bootstrap ; spin ; Renormalization Group ; Scale and Conformal Symmetries ; Field Theories in Higher Dimensions ; Field Theories in Lower Dimensions

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Note: 44 pages, ancillary Mathematica notebook. V2 includes fixed typos, clarifications, additional references. Version accepted for publication in JHEP

Contributing Institute(s):
  1. Theorie-Gruppe (T)
Research Program(s):
  1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
  2. DFG project G:(GEPRIS)400570283 - Das Conformal Bootstrap Programm (400570283) (400570283)
  3. GRK 2575 - GRK 2575: Überdenken der Quantenfeldtheorie (417533893) (417533893)
  4. DFG project G:(GEPRIS)471314740 - Holographie und das Swampland: Konsistenzbedingungen an fundamentale Physik aus der Quantengravitation (471314740) (471314740)
Experiment(s):
  1. No specific instrument

Appears in the scientific report 2025
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Line defect correlators in fermionic CFTs
[10.3204/PUBDB-2023-01928]  GO OpenAccess  Download fulltext Files  Download fulltextFulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS


 Record created 2025-10-15, last modified 2025-11-25


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