Supersymmetric field theories and stochastic differential equations

G. Parisi; N. Sourlas

doi:10.1016/0550-3213(82)90538-7

Supersymmetric field theories and stochastic differential equations

G. Parisi^*
, N. Sourlas

^*Corresponding author for this work

National Institute for Nuclear Physics
Laboratoire de Physique Théorique

Research output: Contribution to journal › Article › peer-review

257 Scopus citations

Abstract

We show that some supersymmetric models can be written as classical stochastic equations. We give examples in one and two dimensions, but in four dimensions the only rotationally invariant supersymmetric model we succeed in writing as a classical stochastic equation is the free field theory. We also discuss spontaneous breaking of supersymmetry; we show it is related to the number of solutions of the stochastic equations.

Original language	English
Pages (from-to)	321-332
Number of pages	12
Journal	Nuclear Physics B
Volume	206
Issue number	2
DOIs	https://doi.org/10.1016/0550-3213(82)90538-7
State	Published - 11 Oct 1982
Externally published	Yes

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title = "Supersymmetric field theories and stochastic differential equations",

abstract = "We show that some supersymmetric models can be written as classical stochastic equations. We give examples in one and two dimensions, but in four dimensions the only rotationally invariant supersymmetric model we succeed in writing as a classical stochastic equation is the free field theory. We also discuss spontaneous breaking of supersymmetry; we show it is related to the number of solutions of the stochastic equations.",

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AB - We show that some supersymmetric models can be written as classical stochastic equations. We give examples in one and two dimensions, but in four dimensions the only rotationally invariant supersymmetric model we succeed in writing as a classical stochastic equation is the free field theory. We also discuss spontaneous breaking of supersymmetry; we show it is related to the number of solutions of the stochastic equations.

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DO - 10.1016/0550-3213(82)90538-7

M3 - 文章

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Supersymmetric field theories and stochastic differential equations

Abstract

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