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Title: Effective-field theory for one-dimensional nonrelativistic particles with contact interaction

Abstract

We consider a field theory that describes interacting nonrelativistic particles of two types, which map to each other under time reversal, with point-like interaction. We identify a new type of interaction which depends on the relative velocity between the particles. We compute the renormalization group running of the coupling constants and find a fixed point and a fixed line. We show that the scattering amplitudes can be expressed in terms of three parameters. The result matches with a quantum mechanical analysis and represents the most general point-like interaction consistent with unitarity and time reversal invariance.

Authors:
 [1];  [1]
  1. Univ. of Chicago, IL (United States)
Publication Date:
Research Org.:
Univ. of Chicago, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1595659
Grant/Contract Number:  
SC0009924
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review A
Additional Journal Information:
Journal Volume: 97; Journal Issue: 4; Journal ID: ISSN 2469-9926
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS

Citation Formats

Yong, Soke Yuen, and Son, Dam Thanh. Effective-field theory for one-dimensional nonrelativistic particles with contact interaction. United States: N. p., 2018. Web. doi:10.1103/PhysRevA.97.043630.
Yong, Soke Yuen, & Son, Dam Thanh. Effective-field theory for one-dimensional nonrelativistic particles with contact interaction. United States. doi:10.1103/PhysRevA.97.043630.
Yong, Soke Yuen, and Son, Dam Thanh. Mon . "Effective-field theory for one-dimensional nonrelativistic particles with contact interaction". United States. doi:10.1103/PhysRevA.97.043630. https://www.osti.gov/servlets/purl/1595659.
@article{osti_1595659,
title = {Effective-field theory for one-dimensional nonrelativistic particles with contact interaction},
author = {Yong, Soke Yuen and Son, Dam Thanh},
abstractNote = {We consider a field theory that describes interacting nonrelativistic particles of two types, which map to each other under time reversal, with point-like interaction. We identify a new type of interaction which depends on the relative velocity between the particles. We compute the renormalization group running of the coupling constants and find a fixed point and a fixed line. We show that the scattering amplitudes can be expressed in terms of three parameters. The result matches with a quantum mechanical analysis and represents the most general point-like interaction consistent with unitarity and time reversal invariance.},
doi = {10.1103/PhysRevA.97.043630},
journal = {Physical Review A},
number = 4,
volume = 97,
place = {United States},
year = {2018},
month = {4}
}

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