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4 questions with no upvoted or accepted answers
6 votes
0 answers
260 views

Is the vacuum degenerate in the Abelian Higgs model?

Consider the theory with Lagrangian $$ \mathcal{L} = -\frac{1}{4}F_{\mu \nu} F^{\mu \nu} + (D_\mu \phi)^* (D^\mu \phi) - U(\phi) \,, $$ where $U(\phi)$ breaks the $U(1)$ symmetry of the system. If we ...
gj255's user avatar
  • 6,425
5 votes
0 answers
164 views

Intuition/Motivation behind necessity of Spontaneous Symmetry Breaking to generate massive gauge bosons

In field theory textbooks, it is shown that while any gauge invariant Lagrangian must involve massless gauge fields, to obtain massive gauge bosons, we must postulate the existence of a Higgs scalar ...
Ishan Deo's user avatar
  • 1,588
2 votes
0 answers
68 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
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
  • 3,992