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Wick Rotation


A Wick rotation is the analytic continuation from real time t to imaginary time tau, conventionally written

 t=-itau.

It transforms a Lorentzian spacetime formulation into a Euclidean one. In a functional integral, the oscillatory factor exp(iS) is thereby replaced formally by the decaying factor exp(-S_E) involving the Euclidean action.


See also

Analytic Continuation, Euclidean Action, Euclidean Quantum Field Theory

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References

Glimm, J. and Jaffe, A. Quantum Physics: A Functional Integral Point of View, 2nd ed. New York: Springer-Verlag, 1987.

Cite this as:

Weisstein, Eric W. "Wick Rotation." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/WickRotation.html

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