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

Journal Article · 29 April 2018 · Physical Review A

DOI: https://doi.org/10.1103/PhysRevA.97.043630 · OSTI ID:1595659

Yong, Soke Yuen ^[1]; Son, Dam Thanh ^[2]

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1. Univ. of Chicago, IL (United States); University of Chicago
2. Univ. of Chicago, IL (United States)

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.

• Research Organization: Univ. of Chicago, IL (United States)
• Sponsoring Organization: USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
• Grant/Contract Number: SC0009924
• OSTI ID: 1595659
• Journal Information: Physical Review A, Journal Name: Physical Review A Journal Issue: 4 Vol. 97; ISSN PLRAAN; ISSN 2469-9926
• Publisher: American Physical Society (APS)Copyright Statement
• Country of Publication: United States
• Language: English