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5 votes
2 answers
365 views

Why are there no Goldstone modes in superconductor?

Usually, the absence of Goldstone modes in a superconductor is seen as an example of the Anderson-Higgs mechanism, related to the fact that there is gauge invariance due to the electromagnetic gauge ...
cx1114's user avatar
  • 109
3 votes
1 answer
95 views

Are Higgs mechanism and SSB different phenomena?

In the Standard Model, the Higgs mechanism is associated with the Spontaneous Symmetry Breaking (SSB). My understanding is that it is the Higgs field which breaks the $SU(2) \times U(1)$ symmetry at a ...
Keith's user avatar
  • 1,665
2 votes
0 answers
64 views

Masses of $SU(2)$ gauge bosons

I'm currently learning quantum field theory and I'm wondering one thing.The way I understood it is that in the $SU(2)$ Yang-Mills theory, all gauge bosons have the same mass due to the spontaneous ...
Hendriksdf5's user avatar
5 votes
1 answer
909 views

Higgs mechanism and mass gap in the Standard Model - asking for some clarification

Higgs mechanism is known to give "mass" to gauge bosons, especially in electroweak theory where the gauge group is given by $SU(2) \times U(1)$. However, as in this PE post or the statement ...
Keith's user avatar
  • 1,665
2 votes
1 answer
97 views

Superconducting ground-state and Higgs mechanism

I found this article on spontaneous symmetry breaking in superconductors. Using the same arguments as Weinberg, the author demonstrates that the properties of a superconductor are the consequences of ...
Jean's user avatar
  • 172
1 vote
2 answers
119 views

Confusion about Higgs mechanism

I am trying to understand the mass acquisition of particles in the Standard Model based on the book 'Fundamentals of Neutrino Physics and Astrophysics' by C. Giunti, and several doubts have arisen ...
Gorga's user avatar
  • 161
0 votes
1 answer
91 views

Custodial symmetry of the standard model symmetry group $SU(2)_L \times SU(2)_R$

I am studying the standard model including the Higgs sector and electroweak interactions. Here, all of my terms have their usual meanings. Therefore my symmetry group is $SU(2)_L \times SU(2)_R \times ...
Chris G's user avatar
  • 51
0 votes
1 answer
141 views

$SU(2)$ breakdown to $U(1)$

When we break a lagrangian symmetric with $SU(2)$ with a higgs bosons being the adjoint representation, using the following v.e.v for higgs $\phi$, $$\langle \phi \rangle = (0,0, \rho)^T.$$ Two ...
LSS's user avatar
  • 980
0 votes
1 answer
58 views

Is the weak quark mixing a consequence of electroweak symmetry breaking?

Because of the CKM matrix, the quark doublets that are changed by $W^{+}$ and $W^{-}$ include a linear combination of quark flavours, instead of the pure quark flavours. I was wondering if, before ...
TrentKent6's user avatar
-2 votes
1 answer
106 views

Why do the members of $SU(2)$ doublets gain different masses after spontaneous symmetry breaking?

Before spontaneous symmetry breaking (SSB) elementary particles belonging to the same $SU(2)$ doublets are indistinguishable, which clearly is not the case after SSB. I am comfortable with the idea of ...
TrentKent6's user avatar
0 votes
0 answers
90 views

Anderson Higgs mechanism and superconducting phase fluctuations

In the context of superconductivity, in the Anderson Higgs mechanism (see, for instance, https://doi.org/10.1119/1.5093291 (PDF), or https://doi.org/10.21468/SciPostPhysLectNotes.11 (PDF), the gauge-...
evening silver fox's user avatar
2 votes
1 answer
101 views

Spontaneous Symmetry Breaking and/or Higgs Mechanism, WIthout Field Redefinition

In all explainations of spontaneous symmetry breaking that I've seen, the scalar field doing the breaking is redefined around its vacuum expectation value (VEV), and similarly for the higgs mechanism -...
Leuca Patmore's user avatar
3 votes
2 answers
133 views

Why use infinite energy to change a vacuum to the another in usual SSB?

I am reading Strominger's Lecture in the IR triangle, there is a short argument about differences between the usual Higgs case and Large Gauge Symmetry (LGS) one in P38. Strominger says: In the usual ...
Lain's user avatar
  • 347
3 votes
0 answers
182 views

Decoupling in the Linear Sigma Model

In Schwartz's 'QFT and The Standard Model' the Lagrangian for the linear sigma model is given by: $$L=\frac{1}{2}(\partial_\mu\sigma)^2+(\sqrt\frac{2m^2}{\lambda}+\frac{1}{\sqrt 2}\sigma(x))^2\frac{1}{...
Lelouch's user avatar
  • 199
2 votes
0 answers
62 views

Predicting a nonzero mass for the photon

This is a concern I had after I had read the reply for a previous question I had: On the masslessness of the photon So, I have been told that there are cases in which the gauge symmetry that preserves ...
schris38's user avatar
  • 3,982

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