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

Bender, C. and Klevansky, S. P (2010). Families of particles with different masses in PT-symmetric quantum field theory. Physical Review Letters, 105(3), e031601. doi: 10.1103/PhysRevLett.105.031601

Abstract

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.

Publication Type: Article
Additional Information: Copyright American Physical Society, 2010
Subjects: Q Science > QC Physics
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
URI: http://openaccess.city.ac.uk/id/eprint/13274
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