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Oct
14
awarded  Popular Question
Sep
17
comment Is it okay to Wick rotate to give the negative of the Euclidean metric? Also, could we make the space-like coordinates imaginary instead?
Hi, just to let you know. I was being a little silly. It's perfectly possible to use the beta function even if $l_{E}^{2}$ has a different sign.
Sep
17
accepted Is it okay to Wick rotate to give the negative of the Euclidean metric? Also, could we make the space-like coordinates imaginary instead?
Sep
17
comment Is it okay to Wick rotate to give the negative of the Euclidean metric? Also, could we make the space-like coordinates imaginary instead?
Thanks for the response, I found it very helpful. My original problem was that I'm working in the opposite signature to Peskin and Schroeder. In their equation above (6.49) they have $l_{E}^{2} + \Delta$ in the denominator (both with the same signs), where $l_{E}$ is the Wick rotated quantity. This allows the use of the beta function in evaluating the integral. However with opposite metric signature the $l_{E}^{2}$ becomes negative making it difficult to use the beta function. Wick rotating the spatial coordinates instead solves this problem as $l_{E}^{2}$ and $\Delta$ obtain the same sign.
Sep
17
revised Is it okay to Wick rotate to give the negative of the Euclidean metric? Also, could we make the space-like coordinates imaginary instead?
added 48 characters in body
Sep
17
revised Is it okay to Wick rotate to give the negative of the Euclidean metric? Also, could we make the space-like coordinates imaginary instead?
edited body
Sep
16
asked Is it okay to Wick rotate to give the negative of the Euclidean metric? Also, could we make the space-like coordinates imaginary instead?
Aug
11
comment Does anybody know of a source that explains Wick rotation for fermions in 3-dimensional spacetime?
Perhaps one method would be to perform the Wick rotation in 4d and then compactify a spatial direction to a get an (effective) 3d result. One might be able to generalise to higher odd dimensions by compactifying 6d, 8d, etc... in a similar manner.
Aug
11
revised Does anybody know of a source that explains Wick rotation for fermions in 3-dimensional spacetime?
edited title
Aug
11
revised Does anybody know of a source that explains Wick rotation for fermions in 3-dimensional spacetime?
edited body
Aug
10
comment What decides the signs and coefficients of terms in superfield?
@Dilaton Just wanted to say thanks for your help regarding this problem.
Aug
10
asked Does anybody know of a source that explains Wick rotation for fermions in 3-dimensional spacetime?
Jul
9
awarded  Excavator
Jul
9
revised What are the limitations of the superspace formalism?
Lagrangean to Lagrangian
Jul
9
suggested suggested edit on What are the limitations of the superspace formalism?
Jul
8
asked What decides the signs and coefficients of terms in superfield?
Jul
2
awarded  Curious
Jun
20
revised Completing the trace in the Non-abelian Chern-Simons Term
Included some commas in commutation and anti-commutation relations that were originally forgotten
Jun
19
revised Completing the trace in the Non-abelian Chern-Simons Term
Typo: permuation to permutation
Jun
19
comment Completing the trace in the Non-abelian Chern-Simons Term
That seems to be it, thank you!