- #1
Antiphon
- 1,686
- 4
(I have a question about the Standard Model in spite of the topic title.
It seems the right place to ask it after perusing the other forum topics.
Also, I had erroneously posted this to the "Advanced Physics Forms" where
the crickets are still chirping. It's not my intention to cross post into
different forums.)
I have an engineer friend who is not well versed in tensors or QM but he
has a solid handle on most of the basic concepts of modern physics.
He posed an interesting question and I'd like to pose it to the forum in
turn, because I didn't have a good answer.
He said to me that Maxwell's equations began as a description of a (pair of)
classical fields and later they were quantized and eventually became
a fully quantum theory, QED.
His question to me was this; has anyone ever considered the particle
fields of the Standard Model (let's stick to say the electroweak Bosons)
and written them out as continuous fields in the "classical limit?"
As an example, one could start with the "photon" and "work back to"
classical E and B fields and their sources (continuous charge densities and
motions).
How would one do this for the Electroweak bosons W+/- and Z?
I suppose we should end up with a set of equations resembling Proca's with a new set of values for epsilon, and mu, maybe three polarization states instead of two, sub-c wave propagation, etc etc. Is this right?
Does anyone know how many fields we would even end up with? Would they Lorentz transform into one another like E and B? etc etc.
Is anyone aware of any work done on this (homework, published research, or otherwise?)
It seems the right place to ask it after perusing the other forum topics.
Also, I had erroneously posted this to the "Advanced Physics Forms" where
the crickets are still chirping. It's not my intention to cross post into
different forums.)
I have an engineer friend who is not well versed in tensors or QM but he
has a solid handle on most of the basic concepts of modern physics.
He posed an interesting question and I'd like to pose it to the forum in
turn, because I didn't have a good answer.
He said to me that Maxwell's equations began as a description of a (pair of)
classical fields and later they were quantized and eventually became
a fully quantum theory, QED.
His question to me was this; has anyone ever considered the particle
fields of the Standard Model (let's stick to say the electroweak Bosons)
and written them out as continuous fields in the "classical limit?"
As an example, one could start with the "photon" and "work back to"
classical E and B fields and their sources (continuous charge densities and
motions).
How would one do this for the Electroweak bosons W+/- and Z?
I suppose we should end up with a set of equations resembling Proca's with a new set of values for epsilon, and mu, maybe three polarization states instead of two, sub-c wave propagation, etc etc. Is this right?
Does anyone know how many fields we would even end up with? Would they Lorentz transform into one another like E and B? etc etc.
Is anyone aware of any work done on this (homework, published research, or otherwise?)