Impurities in Schrödinger field theories and s-wave resonance

Avia Raviv-Moshe; Siwei Zhong

doi:10.1007/JHEP09(2025)134

Impurities in Schrödinger field theories and s-wave resonance

Avia Raviv-Moshe
, Siwei Zhong

Simons Center for Geometry & Physics

Stony Brook University

Research output: Contribution to journal › Article › peer-review

Abstract

We study point impurities in non-relativistic quantum field theories, with a focus on scale-invariant fixed points. We establish the framework of conformal defects in Schrödinger field theories and their correspondence to many-body states in a harmonic trap. We discuss a multi-critical quantization of the one-body wave function induced by an impurity, with examples of free and unitary Fermi gases. Our results can potentially be tested in experimental setups.

Original language	English
Article number	134
Journal	Journal of High Energy Physics
Volume	2025
Issue number	9
DOIs	https://doi.org/10.1007/JHEP09(2025)134
State	Published - Sep 2025

Keywords

Renormalization Group
Scale and Conformal Symmetries
Space-Time Symmetries

Access to Document

10.1007/JHEP09(2025)134

Cite this

@article{a0bc936c93814f98bb0c6e10f1ae0643,

title = "Impurities in Schr{\"o}dinger field theories and s-wave resonance",

abstract = "We study point impurities in non-relativistic quantum field theories, with a focus on scale-invariant fixed points. We establish the framework of conformal defects in Schr{\"o}dinger field theories and their correspondence to many-body states in a harmonic trap. We discuss a multi-critical quantization of the one-body wave function induced by an impurity, with examples of free and unitary Fermi gases. Our results can potentially be tested in experimental setups.",

keywords = "Renormalization Group, Scale and Conformal Symmetries, Space-Time Symmetries",

author = "Avia Raviv-Moshe and Siwei Zhong",

note = "Publisher Copyright: {\textcopyright} The Author(s) 2025.",

year = "2025",

month = sep,

doi = "10.1007/JHEP09(2025)134",

language = "English",

volume = "2025",

journal = "Journal of High Energy Physics",

issn = "1126-6708",

number = "9",

}

TY - JOUR

T1 - Impurities in Schrödinger field theories and s-wave resonance

AU - Raviv-Moshe, Avia

AU - Zhong, Siwei

N1 - Publisher Copyright: © The Author(s) 2025.

PY - 2025/9

Y1 - 2025/9

N2 - We study point impurities in non-relativistic quantum field theories, with a focus on scale-invariant fixed points. We establish the framework of conformal defects in Schrödinger field theories and their correspondence to many-body states in a harmonic trap. We discuss a multi-critical quantization of the one-body wave function induced by an impurity, with examples of free and unitary Fermi gases. Our results can potentially be tested in experimental setups.

AB - We study point impurities in non-relativistic quantum field theories, with a focus on scale-invariant fixed points. We establish the framework of conformal defects in Schrödinger field theories and their correspondence to many-body states in a harmonic trap. We discuss a multi-critical quantization of the one-body wave function induced by an impurity, with examples of free and unitary Fermi gases. Our results can potentially be tested in experimental setups.

KW - Renormalization Group

KW - Scale and Conformal Symmetries

KW - Space-Time Symmetries

UR - https://www.scopus.com/pages/publications/105016725888

U2 - 10.1007/JHEP09(2025)134

DO - 10.1007/JHEP09(2025)134

M3 - Article

AN - SCOPUS:105016725888

SN - 1126-6708

VL - 2025

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 9

M1 - 134

ER -

Impurities in Schrödinger field theories and s-wave resonance

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this