Questions tagged [wick-rotation]

Question 1

I have recently been studying how the temperature of a black hole can be obtained using the Wick rotation technique, but I am struggling with its physical interpretation. Let me outline my main ...

Question 2

Suppose I have a QFT defined by a Lagrangian in Minkowski space and one in Euclidean space related by a Wick Rotation. What sort of objects/properties in general stay the same between either theory; ...

Question 3

I am reading Simon's book "The $P(\Phi)_2$ Euclidean (Quantum) Field Theory" where he gives some interesting remarks: But we emphasize that in general the Osterwalder-Schrader axioms do not ...

Question 4

I have some questions about Wick rotations of the Dirac Lagrangian in different signatures. I have seen similar questions, but none of them explain things in the way I need. In fact, I was trying to ...

Question 5

Suppose we have an imaginary time path integral then partition function is $$ Z = \mathrm{Tr}\left [ \mathrm{e}^{-\beta \hat{H}} \right ]=\int_{x(0) = x(\beta)} \mathcal{D}[x(\tau)] e^{-S_E[x]}$$ and ...

Question 6

I'm learning QFT via the path integral formalism. I've been struggling understanding the Wick rotation to Euclidean formulation, towards which I feel very uncomfortable. In particular I cannot find a ...

Question 7

In Minkowski space, the KG Lagrangian is time translation invariant. The corresponding Noether charge is the Hamiltonian. Because this is a symmetry it is generated by a unitary operator $$|\psi\...

Question 8

I’m sorry to be yet another person confused about Wick rotation, but it’s been all day and I’m still not sure I’ve got it right. Let’s start by considering the field expansion of a scalar field: $$ \...

Question 9

In Altland & Simons (2nd ed., pp. 117-124), there is a discussion on path integrals and instantons where I cannot understand where the factor $e^{-\omega\tau}$ comes from. The calculation goes the ...

Question 10

I spent all of last semester learning all about Wilson’s RG, but a few days ago I realized an incredibly basic and mildly disturbing fact. Nature is Lorentzian, not Euclidean. I have been Wick rotated ...

Question 11

I'm following a class on QFT. I'm having a hard time understanding the rotation to Euclidean of the generating functional $W[J]$ of some scalar theory $L(\phi, x)$. $$ W[J] := \mathcal{N} \int [D\phi] ...

Question 12

When we talks about quantum mechanical tunneling in the formalism of path integral, we normally say that there's no classical (stationary-phase) path connecting the two minima of the potential so we ...

Question 13

In Vafa and Witten's paper Parity Conservation in Quantum Chromodynamics, in order to show that QCD does not spontaneously break parity, they argue that any parity-odd operator $X$ must pick up a ...

Question 14

I understand the logic behind the Wick rotation by considering an imaginary time and in this way achieving an Euclidean-type metric. However, I am trying to understand this in a deeper way. Why ...

Question 15

In Whittaker's A treatise on the analytical dynamics of particles and rigid bodies, Chapter II.34 titled "Motion with reversed forces", he introduces the following transformation in ...

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Questions tagged [wick-rotation]

Conceptual Questions about Wick Rotation

When is Wick Rotation Justified?

Euclidean fields vs Euclidean Green's functions

Conventions for Wick rotations of the Dirac Lagrangian

Periodic real time and temperature

What kind of procedure is the Wick rotation to Euclidean formulation?

In Euclidean QFT, what is the generator of $\tau$ translational symmetry?

Another question on Wick Rotation and field expansion

How to find the correct propagator prefactor in the dilute instanton gas in 1D quantum mechanics?

Wilson’s renormalization group: Euclidean versus Lorentzian signature

Definition of Euclidean generating functional [duplicate]

Classical (stationary phase) trajectory in quantum tunneling

Wick Rotations and the Vafa-Witten theorem

Understanding the Wick Rotation [duplicate]

What's the use of Whittaker's "reversed forces" theorem?

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