Families of particles with different masses in PT-symmetric quantum field theory

An elementary field-theoretic mechanism is proposed that allows one Lagrangian to describe a family of particles having different masses but otherwise similar physical properties. The mechanism relies on the observation that the Dyson-Schwinger equations derived from a Lagrangian can have many diffe...

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Bibliographic Details
Main Authors: Bender, Carl M. (Author) , Klevansky, Sandra Pamela (Author)
Format: Article (Journal)
Language:English
Published: 16 JULY 2010
In: Physical review letters
Year: 2010, Volume: 105, Issue: 3, Pages: 1-4
ISSN:1079-7114
DOI:10.1103/PhysRevLett.105.031601
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevLett.105.031601
Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevLett.105.031601
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Author Notes:Carl M. Bender, S.P. Klevansky
Description
Summary:An elementary field-theoretic mechanism is proposed that allows one Lagrangian to describe a family of particles having different masses but otherwise similar physical properties. The mechanism relies on the observation that the Dyson-Schwinger equations derived from a Lagrangian can have many different but equally valid solutions. Nonunique solutions to the Dyson-Schwinger equations arise when the functional integral for the Green’s functions of the quantum field theory converges in different pairs of Stokes’ wedges in complex-field space, and the solutions are physically viable if the pairs of Stokes’ wedges are PT symmetric.
Item Description:Gesehen am 11.01.2023
Physical Description:Online Resource
ISSN:1079-7114
DOI:10.1103/PhysRevLett.105.031601