Preprint

PUBDB-2023-01928

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Line defect correlators in fermionic CFTs

Barrat, J. ; Liendo, P.DESY* ; van Vliet, P. (Corresponding author)DESY*

2023

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Please use a persistent id in citations: doi:10.3204/PUBDB-2023-01928

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 $4-\varepsilon$ 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 $\varepsilon$. 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

Note: 44 pages, ancillary Mathematica notebook

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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. DFG project 400570283 - Das Conformal Bootstrap Programm (400570283) (400570283)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2023

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