A Wick-rotatable metric is purely electric
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🧮 math-ph
gr-qcmath.DGmath.MP
keywords
metricelectricpurelyallowsarbitrarydimensionnecessarilyriemann
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We show that a metric of arbitrary dimension and signature which allows for a standard Wick-rotation to a Riemannian metric necessarily has a purely electric Riemann and Weyl tensor.
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Cited by 1 Pith paper
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Wick-connected theories and Lorentz violation
Without Lorentz invariance, double Wick rotations connect inequivalent field theories in flat spacetime, with criteria for when propagating modes, unitarity, and renormalizability fail to translate.
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