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2015

Wick Rotation in the Tangent Space

Samuel, Joseph

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Understand

Wick rotation is usually performed by rotating the time coordinate to imaginary values.

In a general curved spacetime, the notion of a time coordinate is ambiguous.
We note here, that within the tetrad formalism of general relativity, it is possible to perform a Wick rotation directly in the tangent space using considerably less structure: a timelike, future pointing vector field, which need not be Killing or hypersurface orthogonal.
This method has the advantage of yielding real Euclidean metrics, even in spacetimes which are not static.

Wick Rotation in the Tangent Space · Around

Built on

G. W. Gibbons and S. W. Hawking, “Action integrals and partition functions in quantum gravity,” Phys. Rev. D
1977
Earlier work this paper cites.
D. Deutsch and P. Candelas, “Boundary effects in quantum field theory,” Phys. Rev. D
1979
Earlier work this paper cites.
Oxford University Press, 1983
S. Chandrasekhar, Mathematical Theory of Black Holes · 1983
Earlier work this paper cites.

Similar

The University of Chicago Press, 1984
R. M. Wald, General Relativity · 1984
Cited alongside, same era.
P. van Nieuwenhuizen and A. Waldron, “On euclidean spinors and wick rotations,” Physics Letters B
1996
Cited alongside, same era.

Then

A. Waldron, “A wick rotation for spinor fields: the canonical approach,” Physics Letters B
1998
Later among the works it cites.
R.D. Sorkin in Recent Research in Quantum Gravity, ed. A. Dasgupta
2012
Later among the works it cites.

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