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Apr
29
awarded  Yearling
Mar
13
awarded  Popular Question
Jan
25
comment Why is the free field operator the same with interactions present?
Good comment! Can you recommend any literature dealing with moving into a representation free phase of the theory (td. limit)?
Dec
26
accepted Spectrum of Laplacian on one hemisphere
Dec
22
asked Spectrum of Laplacian on one hemisphere
Oct
29
revised Bose-Einstein condensation and phase transition
added 32 characters in body
Oct
29
comment Third-order phase transition in Landau theory
Why would there not be an order parameter? I understand that if there's no order parameter, Landau theory does not make sense; but why not here? It is confusing, since when comparing with books.google.co.uk/…, you're basically saying that there is no way at all to account for a free boson BEC phase transition (apparently 3rd order according to the book) by means of a Landau theory.
Oct
28
comment Third-order phase transition in Landau theory
Hi! I've read that for an ideal Bose gas one has a 3rd order PT. How, from the point of view of the free energy given by you, can one account in case of a real Bose gas for the $m^2$ term which apparently arises since one has then a 2nd order PT?
Oct
28
comment Bose-Einstein condensation and phase transition
@Thomas: Cunfusingly, one can find e.g. this books.google.co.uk/…. So is the author correct?
Oct
28
comment Bose-Einstein condensation and phase transition
Sorry, but the question was of what order it is actually.
Oct
28
revised Bose-Einstein condensation and phase transition
edited body
Oct
27
asked Bose-Einstein condensation and phase transition
Apr
7
accepted Anyons: Effect of braiding on fusion multiplicities
Oct
8
awarded  Popular Question
Jul
2
awarded  Curious
Jun
23
comment Anyons: Effect of braiding on fusion multiplicities
I had a first read. Thank you! If I was to rephrase the answer in layman's words could I say that the effect of twisting and braiding doesn't change the dimension since the fusion H. space is the H. space of the anyonic system and as such already knows about these transformations? A second question would still direct to the partition function on $S^2\times I$ with sources which could be braided. If one braided source a with b and then compactified the time interval to the circle $S^1$ the partition function would not be the same as in the unbraided case. How can I connect this to your answer?
Jun
23
comment Anyons: Effect of braiding on fusion multiplicities
Cool. I am eager to read your explanation. Maybe you could adress the point about the partition function with and without braiding then because from this point of view I am getting most of the trouble.
Jun
23
comment Anyons: Effect of braiding on fusion multiplicities
Well, according to the prescription given in source 4 of my post one also has: $Z(S^2\times S^1; R_i)=\delta_{i 0}$ and $Z(S^2\times S^1; R_i, R_j)=\delta_{i j}$. If we braid charge i and j this could be unraveled giving a twist, so $\delta$ times a phase. The same holds for the fusion multiplicities and should have an impact in the product of $N$s above. The $S^1$ in the partition function arises from compactifying the time interval. Source 4 says that $Z(S^2\times S^1; no braid)\neq Z(...; braid)$ if I don't get it wrong. Maybe I confuse things...
Jun
23
revised Anyons: Effect of braiding on fusion multiplicities
edited body
Jun
23
revised Anyons: Effect of braiding on fusion multiplicities
edited tags