title: Families of particles with different masses in PT-symmetric quantum field theory.
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.
authors.affiliation: Physics Department, Washington University, St. Louis, Missouri 63130, USA.
authors.forename: Carl M
authors.initials: CM
authors.lastname: Bender
authors.forename: S P
authors.initials: SP
authors.lastname: Klevansky