REVIEW 2 cited by
Equivalence of Local Potential Approximations
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
read the original abstract
In recent papers it has been noted that the local potential approximation of the Legendre and Wilson-Polchinski flow equations give, within numerical error, identical results for a range of exponents and Wilson-Fisher fixed points in three dimensions, providing a certain ``optimised'' cutoff is used for the Legendre flow equation. Here we point out that this is a consequence of an exact map between the two equations, which is nothing other than the exact reduction of the functional map that exists between the two exact renormalization groups. We note also that the optimised cutoff does not allow a derivative expansion beyond second order.
Forward citations
Cited by 2 Pith papers
-
Fermions and the Renormalisation Group at Large N
At large N, fermionic quantum field theories have exact effective actions depending only on flavour-singlet fermion bilinears, making the local potential approximation exact and yielding new conformal fixed points.
-
Critical and multicritical Lee-Yang fixed points in the local potential approximation
In the local potential approximation, the Lee-Yang fixed point of iφ^3 theory is followed to d=2 with few-percent-accurate scaling dimensions, while multicritical iφ^{2n+1} fixed points annihilate with new non-perturb...
Discussion (0). Continue with ORCID to comment.