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Apr
17
comment Higgs mechanism and neutral fields
What is your definition of a scalar field $\phi$ being charged under a gauge field $A$? I thought: If say U(1) is the (local) gauge group of your system then this gauge group always containts also a "global" symmetry. This global symmetry is then used to define the charge. Isn't the charge due to a local gauge transformation trivially (i.e. independent of the equations of motion) conserved?
Apr
17
asked Higgs mechanism and neutral fields
Apr
1
comment Ground states of Chiral Boson Theory with tunneling
Did you set t=0 in your mode expansion above or does "x" correspond to some "lightcone-like" coordinate?
Mar
28
asked Equivalent Chern Simons Theories
Mar
15
comment String-net models on non-trivalent lattices
Thanks for this very nice answer! One more question based on curiosity: There do exist String net models for fermionic topological order (understood in the sense that the K-Matrix of the corresponding TQFT has a very specific form, see for example: arxiv.org/abs/1309.7032) In these models it there is the additional requirement that one defines a direction on each trivalent graph. Does this effect the argument that you have been given in your response?
Mar
12
asked String-net models on non-trivalent lattices
Feb
9
awarded  Commentator
Feb
9
comment FQH Edge Theory as decoupled chiral bosons
That was what I was looking for! Thanks!
Feb
8
revised FQH Edge Theory as decoupled chiral bosons
deleted 401 characters in body
Feb
7
asked FQH Edge Theory as decoupled chiral bosons
Dec
25
awarded  Yearling
Dec
23
comment Ground states of Chiral Boson Theory with tunneling
Thanks for the nice reply. I think the problem that I am/was having was that I did understand the intuitive picture (meaning that for large g the field is trapped in the minima of the cosine and cannot escape by any 'flunctuations'). The problem was rather on a formal level, in the sense that one is threating $\phi$ as if wasn't an operator but a normal complex function (i.e. a classical field). Maybe you can elaborate on this.
Dec
23
asked Ground states of Chiral Boson Theory with tunneling
Nov
2
comment Conventions for Klein factors in bosonization of Quantum Hall edge states
Questions edited. Thanks for the reply. But don't we need a transformation among the field thats unitary?
Nov
2
revised Conventions for Klein factors in bosonization of Quantum Hall edge states
deleted 5 characters in body
Nov
2
asked Conventions for Klein factors in bosonization of Quantum Hall edge states
Oct
15
asked Time reversal invariance and statistics
Oct
11
asked Systems with different particle statistics
Oct
10
comment Follow up question on “Wilson Loops as Raising Operators”
Thanks a lot Trimok. Your answer is very detailed and nice. Please allow me one more question: In your derivation of the Wilson loop (which as you have stated) you omit the "Path ordering" that acts on the exponential. Why can you ignore the path ordering in this particular case?
Oct
9
comment Follow up question on “Wilson Loops as Raising Operators”
I can follow your argument except for the first line. Are W(a) and W(b) obtained from first principle calculation from the original definition of the Wilson loop? Also isn't $\left|n\right\rangle = e^{i2\pi n y}$ (just a Fourier compenent of \psi)? Does this then correctly reproduce the action of W(a) and W(b) on $\left|n\right\rangle$?