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Results tagged with symmetry-breaking
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In explicit symmetry breaking, the equations of motion of a physical system are variant under the broken symmetry; by contrast, for spontaneous symmetry breaking (SSB), these equations are invariant, but the entire system is not because its vacuum (background) is non-invariant. Further use for the SSB characteristic nonlinear realizations (Goldstone mode), and the group theoretical patterns involved.
4
votes
Why don't certain decorated domain wall constructions for SPTs lead to spontaneous symmetry ...
Perhaps it helps to remember that one of the consistency conditions for a $\mathbb{Z}_2$ decorated domain wall construction in $d=1$ is that the $G$ charge bound to a domain wall is such that two of t …
- 3,506
1
vote
Why one can observe Quantum Hall Effect in 3D Topological Insulators in an external magnetic...
If you only break time-reversal on the surface, not the bulk, then you can compare the relative Hall conductance between breaking the time-reversal one way on the surface and breaking it in the opposi …
- 3,506
3
votes
Accepted
If we cool a topologically ordered system down to zero temperature, will it end up in a pure...
Let me try to expand the comment I wrote into an answer.
Firstly, I will make a philosophical point. Consider a spin-1/2 particle. We can consider two different bases $|\uparrow\rangle, |\downarrow\r …
- 3,506
50
votes
What role does "spontaneous symmetry breaking" play in the "Higgs Mechanism"?
It is frequently stated the Higgs mechanism involves spontaneous breaking of the gauge symmetry. This is, however, entirely wrong. In fact, gauge symmetries cannot be spontaneously broken.
A standar …
- 3,506