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4 votes
1 answer
264 views

What is the equivalent of causality in Euclidean field theory?

In Wick rotated quantum field theory where $t$ becomes $it$ and it has Euclidean metric signature. What would be the equivalent statement that events outside each others light-cones are disconnected ...
user avatar
3 votes
0 answers
174 views

Analytic cotinuation between Minkowskian and Euclidean space, and causality

We can flip between Minkowkian and Euclidean signature by Wick rotation, and it is a well defined operation, provided there are no non - trivial singularities. Now, Unitarity in Minkowskian space ...
Tushar Gopalka's user avatar
4 votes
0 answers
398 views

Causality and wick rotation

What is the connection between causality and wick rotation? I came across implication of this connection multiple times but can't find a rigorous explanation. For example in the answer to Wick ...
Kvothe's user avatar
  • 861
10 votes
2 answers
1k views

Euclidean QFT commutator vanishes for all spacetime separations?

In Minkowski spacetime, the commutator of the Klein-Gordon field operator with itself at different spacetime points evaluates to the advanced minus retarded Green's function of the classical theory, ...
user143410's user avatar
10 votes
1 answer
7k views

How does the Feynman's $i\epsilon$-prescription make the Feynman propagator causal?

The Feynman propagator is non-vanishing outside the light cone, but still manages to be in accord with causality. How is this achieved? What does the $i\epsilon$-prescription have to do with this?
Newman's user avatar
  • 2,586