Does Wick Rotation Preserve Mass or Orbital Momentum?

Therefore, it is more important to preserve the spectrum and invariance rather than matching the masses exactly. In summary, there is a debate about whether the Wick rotation should preserve the same mass as the un-rotated equation or if it is more important to preserve other quantities such as orbital momentum. However, the Wick rotation ultimately preserves the spectrum and invariance, so the masses of states cannot be changed.
  • #1
arivero
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Is there some agreement about if the Wick rotation must produce exactly the same mass that the un-rotated equation, or is it more important to preserve some other quantity, say orbital momentum or whatever?

I am thinking on Hans' relativistic

[tex]
\beta^2 \over \sqrt {1-\beta^2}
[/tex]because if we ask this quantity to be preserved up to sign, then the masses of W and Z are mapped to the (imaginary masses) of [candidate] Higgs boson and Top quark, which is pretty puzzling: 80.37 GeV becomes 122.38 i Gev and 91.187 GeV becomes 176.15 i GeV.
 
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  • #2
The Wick rotation preserves the spectrum, so it's not possible to change the masses of states. You are trading Lorentz invariance for Euclidean invariance, the values of the particular invariants will not change.
 

1. What is mass under Wick Rotation?

Mass under Wick Rotation is a concept in theoretical physics that involves rotating the time axis into imaginary values in order to simplify equations and make them easier to solve. It is commonly used in quantum field theory and string theory.

2. Why is mass under Wick Rotation useful?

By rotating the time axis, equations that would be difficult or impossible to solve in the usual spacetime can be solved more easily. This allows for insights and predictions that would not be possible with traditional methods.

3. How does mass under Wick Rotation affect physical measurements?

Mass under Wick Rotation does not have a direct effect on physical measurements. It is a mathematical tool used to make calculations easier, but the resulting physical predictions are the same as those obtained through traditional methods.

4. Are there any limitations to using mass under Wick Rotation?

While mass under Wick Rotation can be a powerful tool in theoretical physics, it should be used with caution. It is not applicable in all situations and may not always provide accurate predictions. Additionally, the concept itself is still being studied and understood, so its limitations are not fully known.

5. How is mass under Wick Rotation related to the Higgs boson?

The Higgs boson, also known as the "God particle", is a fundamental particle that gives mass to other particles. Mass under Wick Rotation is not directly related to the Higgs boson, but it can be used to study the Higgs field and its interactions with other particles.

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