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

Phys Rev Lett

Physics Department, Washington University, St. Louis, Missouri 63130, USA.

Published: July 2010

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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http://dx.doi.org/10.1103/PhysRevLett.105.031601DOI Listing

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