Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-02-17
Physics
High Energy Physics
High Energy Physics - Theory
4 pages, 3 figures
Scientific paper
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.
Bender Carl M.
Klevansky Sandra P.
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