REVIEW 2 cited by
$3d$ fermion-boson map with imaginary chemical potential
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
abstract
We study the three-dimensional $U(N)$ Gross-Neveu and CP$^{N-1}$ models in the canonical formalism with fixed $U(1)$ charge. For large-$N$ this is closely related to coupling the models to abelian Chern-Simons in a monopole background. We show that the presence of the imaginary chemical potential for the $U(1)$ charge makes the phase structure of the models remarkably similar. We calculate their respective large-$N$ free energy densities and show that they are mapped into each other in a precise way. Intriguingly, the free energy map involves the Bloch-Wigner function and its generalizations introduced by Zagier. We expect that our results are connected to the recently discussed $3d$ bosonization.
Forward citations
Cited by 2 Pith papers
-
The large $N$ vector model on $S^1\times S^2$
The authors compute the leading finite-size corrections to thermal observables of the large-N critical O(N) model on S^1 x S^2 using a perturbative expansion in beta/r.
-
Large charge at large N
A saddle-point evaluation of the O(2N) Wilson-Fisher partition function yields the large-charge conformal dimension and finite-temperature free energy in the regime 1 << N << Q, including the universal Q^0 Casimir term.
Discussion (0). Continue with ORCID to comment.