Multiple Vacua and Boundary Conditions of Schwinger-Dyson Equations

Details Multiple Vacua and Boundary Conditions of Schwinger-Dyson Equations Multiple Vacua and Boundary Conditions of Schwinger-Dyson Equations

1996-08-24

arxiv.org/abs/hep-th/9608165v1

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, LateX, talk given at 3rd AUP Workshop on QCD: Collisions, Confinement, and Chaos, Paris, France, 3-8 Jun 1996

Scientific paper

We discuss the relationship between the boundary conditions of the Schwinger-Dyson equations and the phase diagram of a bosonic field theory or matrix model. In the thermodynamic limit, many boundary conditions lead to the same solution, while other boundary conditions have no such limit. The list of boundary conditions for which a thermodynamic limit exists depends on the parameters of the theory. The boundary conditions of a physical solution may be quite exotic, corresponding to path integration over various inequivalent complex contours.

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