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:
-
- 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)
- 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. https://doi.org/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. https://doi.org/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}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 2 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
A new expansion for nucleon-nucleon interactions
journal, April 1998
- Kaplan, David B.; Savage, Martin J.; Wise, Mark B.
- Physics Letters B, Vol. 424, Issue 3-4
Nuclear forces from chiral lagrangians
journal, November 1990
- Weinberg, Steven
- Physics Letters B, Vol. 251, Issue 2
Nonrelativistic conformal field theories
journal, October 2007
- Nishida, Yusuke; Son, Dam T.
- Physical Review D, Vol. 76, Issue 8
Observation of a Strongly Interacting Degenerate Fermi Gas of Atoms
journal, November 2002
- O'Hara, K. M.
- Science, Vol. 298, Issue 5601
The three-boson system with short-range interactions
journal, February 1999
- Bedaque, P. F.; Hammer, H. -W.; van Kolck, U.
- Nuclear Physics A, Vol. 646, Issue 4
Effective field theory of short-range forces
journal, January 1999
- van Kolck, U.
- Nuclear Physics A, Vol. 645, Issue 2
Observation of Resonance Condensation of Fermionic Atom Pairs
journal, January 2004
- Regal, C. A.; Greiner, M.; Jin, D. S.
- Physical Review Letters, Vol. 92, Issue 4
Universality in few-body systems with large scattering length
journal, June 2006
- Braaten, Eric; Hammer, H. -W.
- Physics Reports, Vol. 428, Issue 5-6
Renormalization of the Three-Body System with Short-Range Interactions
journal, January 1999
- Bedaque, P. F.; Hammer, H. -W.; van Kolck, U.
- Physical Review Letters, Vol. 82, Issue 3
Transport in superfluid mixtures
journal, April 2017
- Geracie, Michael
- Physical Review B, Vol. 95, Issue 13
Effective chiral lagrangians for nucleon-pion interactions and nuclear forces
journal, September 1991
- Weinberg, Steven
- Nuclear Physics B, Vol. 363, Issue 1
Universal four-component Fermi gas in one dimension
journal, October 2010
- Nishida, Yusuke; Son, Dam T.
- Physical Review A, Vol. 82, Issue 4
Condensation of Pairs of Fermionic Atoms near a Feshbach Resonance
journal, March 2004
- Zwierlein, M. W.; Stan, C. A.; Schunck, C. H.
- Physical Review Letters, Vol. 92, Issue 12
Generalized point interactions in one-dimensional quantum mechanics
journal, June 1997
- Coutinho, F. A. B.; Nogami, Y.; Perez, J. Fernando
- Journal of Physics A: Mathematical and General, Vol. 30, Issue 11