All Questions
5
questions
3
votes
0
answers
76
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Could there exist gauge-symmetry-protected topological order?
More precisely, let $\hat{H}_1, \hat{H}_2$ be locally-interacting, translation-invariant quantum many-body Hamiltonians (defined on the same quantum system) that both has a gauge symmetry $G$, and ...
- 883
3
votes
0
answers
58
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Properties of Topologically Ordered States
From what I've read so far, all topologically ordered states seem to possess the following properties:
Gapped excitations with fractionalized statistics (anyons)
Gauge theory structure (which may be &...
- 93
9
votes
1
answer
2k
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Why is Kitaev's toric code a $Z_2$ gauge theory?
I am reading Kitaev's 2003 paper. In the literature, it is often said that the model proposed in this paper is a $Z_2$ gauge theory. I don't quite see why it is the case. Where is the $Z_2$ gauge ...
- 508
1
vote
0
answers
85
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On string-like excitations in (3+1)d discrete gauge theory
(3+1)d discrete $G$-gauge theory (untwisted Dijkgraaf-Witten theory) has both point-like and loop-like excitations;
Point-like excitation is an electric charge labeled by an irreducible ...
- 11
1
vote
1
answer
350
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Low dim physics: Examples of confinement-deconfinement phases of U(1) gauge theory in 2 dimensions
Please provide some examples of confinement-deconfinement phases of U(1) gauge theory in 2 spacetime dimensions (Low dimwnsional physics).
U(1) gauge theory can be:
pure U(1) gauge theory, or
U(1) ...
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