All Questions
33
questions
0
votes
1
answer
59
views
Can we prove in general that gauge fields associated with broken generators form representations of the unbroken group?
The title is a bit ambiguous. More specifically, I'm asking:
Are all coupling between massive gauge fields (associated with broken generators) and massless gauge fields of the unbroken group are in ...
- 619
4
votes
1
answer
72
views
How does path integral quantization ensure unitarity?
Unitarity can be verified post hoc by examining the optical theorem. In the context of path integral quantization where formal derivation starting from canonical quantization is unavailable, is it ...
- 619
2
votes
0
answers
71
views
Why is it valid to only consider linear-order gauge transformation when quantizing non-Abelian gauge theory?
To quantize the non-Abelien gauge theory. We multiply the path integral by:
$f[A]=\int \mathcal{D}\pi exp[-i\int d^4 x {1\over \xi}(\partial_\mu D_\mu \pi^a)^2]$
then we can shift the argument in the ...
- 619
-1
votes
1
answer
135
views
Hey there I'm a beginner in particle physics trying to "selfstudy" from online resources. I want to ask how much of what I learned is correct? [closed]
The information I have gained thus far regarding the standard model is;
fermions and how their intrinsic nature.
they have half spin, non zero mass, a charge, a weak hypercharge (for leptons), a ...
2
votes
2
answers
108
views
Are all electromagnetic and optical phenomena ultimately caused by electronic processes?
On the Wikipedia page for Gauge Theory, it is mentioned that
Quantum electrodynamics is an abelian gauge theory with the symmetry group U(1) and has one gauge field, the electromagnetic four-...
2
votes
1
answer
293
views
How does one define massive Higgs-ed gauge fields nonperturbatively?
The Higgs mechanism can be used to produce massive spin $1$ particles in a unitary and renormalizeable way. Showing that the gauge fields gain a mass is always done at weak coupling, where tree level ...
- 3,514
1
vote
2
answers
373
views
Why $W^+$ and $W^-$ bosons counted as two types of particles? but not $e^+$ and $e^-$?
The $W^+$ and $W^-$ bosons have either a positive or negative electric charge of 1 elementary charge and are each other's antiparticles.
In this sense, if we know the properties of $W^+$, we should ...
- 4,336
2
votes
2
answers
850
views
What precisely and mathematically does it mean to say gauge bosons as elementary particles?
In standard particle physics textbook, we say that photons, gluons and $W$ and $Z$ bosons are gauge bosons as elementary particles.
However the gauge bosons are vector bosons and they carry the form ...
- 4,336
14
votes
4
answers
2k
views
Haag's comment on the relation between fields and particles
I am very confused by the statement made in Haag's, Local Quantum Physics: Fields, Particles, Algebras (page 46):
... the idea that to each particle there is a corresponding field and to each field a ...
- 3,915
1
vote
1
answer
156
views
Horizontal Gauge Symmetry?
Some physics literature says Horizontal Symmetry of gauge theory, such as this paper, available also at arXiv.
What does this Horizontal Symmetry of gauge theory or Horizontal gauge group mean? Does ...
- 4,336
2
votes
1
answer
370
views
$SU(2)$ doublets from the transformation law of a matrix of scalar fields
If we have a $2 \times 2$ $SU(2)_L$ and $SU(2)_R$ matrix $\Phi=\begin{bmatrix}
a & c \\
b & d
\end{bmatrix}$, where a, b, c and d are four complex Klein-Gordon fields, that under a gauge ...
- 313
3
votes
1
answer
368
views
When does a VEV induce another VEV?
If we have a model with more than one Higgs-doublet, when do the VEV of a scalar field of one of those doublets must induce a nonzero VEV on a scalar field of another of those doublets?
- 313
0
votes
1
answer
250
views
What is the gauge boson mass term for a theory with a matrix of scalars?
If we have a theory with gauge group $SU(3) \times SU(2)$ with a set of six complex scalar fields grouped in $\Phi=\begin{pmatrix}
a & d\\
b & e\\
c & f
\end{pmatrix}$, where, for instance,...
- 313
0
votes
1
answer
108
views
Can a gauge theory with $SU(2)_{left}*SU(2)_{additional}$ symmetry contain confinement?
Consider a gauge theory with $SU(2)_{left}*SU(2)_{additional}$ symmetry.
By $additional$, I mean adding a new symmetry between an electron and a quark(like up quark and electron forming a doublet).
...
- 1,268
1
vote
0
answers
42
views
Are there fermionic bound states that are gauge neutral to all gauge forces?
Puzzle: In our standard model particle physics, are there fermionic bound states that are gauge neutral to all gauge forces?
Here we concern strong SU(3) color, electromagnetic U(1) EM, hyper U(1), ...
- 4,336