Re: Gauge Transformations in Momentum Space?

Eugene Stefanovich wrote:

> I think quantum fields and their gauge transformations
> in the "momentum" representation have no meaning at all.
> [...]

Certainly they're not of much use in standard treatments of
QFT and the standard model. But "no meaning at all" seems
a bit strong.


> [...]
> I have no idea how and why would you want to use
> "momentum-space" Psi(p,t) for this purpose.

I'm trying to find out whether standard model gauge
groups (acting on fermions) correspond to
Bogoliubov transformations mapping between
disjoint Fock spaces, i.e: between unitarily
inequivalent representations. The textbooks I'm aware
of give various calculation techniques using momentum-space
annihilation/creation operators exclusively. So in the
hope of leveraging those techniques I need to learn
more about gauge transformations in momentum space.


techniques for investigating such Bogoliubov transformations

.