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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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
16 JULY 2010
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| 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 |
| Author Notes: | Carl M. Bender, S.P. Klevansky |
| 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. |
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| Item Description: | Gesehen am 11.01.2023 |
| Physical Description: | Online Resource |
| ISSN: | 1079-7114 |
| DOI: | 10.1103/PhysRevLett.105.031601 |