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4 questions with no upvoted or accepted answers
4 votes
0 answers
109 views

Why are non-perturbative solutions important and how to take them into account?

I am guilty of studying physics with an almost complete focus on the mathematical constructions (together with the motivating physical premisses) and ignoring the semantic physical intuition, which I'...
GaloisFan's user avatar
  • 1,742
2 votes
0 answers
88 views

Soliton and Goldstone boson

I'm learning Gross-Pitaevskii model. By spontaneous symmetry breaking one obtains Bogoljubov modes, which ensures Landau criterion. So those modes have two features, for one they are Goldstone bosons ...
JinH's user avatar
  • 126
1 vote
0 answers
61 views

Is transition between field configurations a tunneling process?

I'm considering D=1+1 kink solution here. Given a D=2 theory with $\mathbb{Z}_2$ symmetry, there are 4 different mappings (or 2 distinct sectors---trivial and kink) from spacetime manifold (or just a ...
Budding's user avatar
  • 196
0 votes
0 answers
100 views

What is the topology of sine-Gordon equation?

In one pdf on solitons, I am finding the following written For the sine-Gordon theory, it is much better to think of $\phi$ as a field modulo $2\pi$, i.e. as a function $\phi: R \rightarrow S_{1}$. ...
Arkaprava Sil's user avatar