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Complex Langevin Equations and Schwinger-Dyson Equations

Cengiz Pehlevan
(
- Brown U.
)
,
Gerald Guralnik
(
- Brown U.
)

Oct, 2007

10 pages

Published in:

Nucl.Phys.B 811 (2009) 519-536

e-Print:

0710.3756 [hep-th]

DOI:

10.1016/j.nuclphysb.2008.11.034

Report number:

BROWN-HET-1488

View in:

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Abstract: (Elsevier)

Stationary distributions of complex Langevin equations are shown to be the complexified path integral solutions of the Schwinger–Dyson equations of the associated quantum field theory. Specific examples in zero dimensions and on a lattice are given. The relevance to the study of quantum field theory solution space is discussed.

11.15.Ha
05.10.Gg
02.50.Ey
Complex Langevin equation
Schwinger-Dyson equations
Schwinger–Dyson equations
path integral
Langevin equation: solution
field theory: action
Dyson-Schwinger equation

References(47)

Figures(0)

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