REVIEW 3 cited by
Random matrix model of QCD at finite density and the nature of the quenched limit
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
Random matrix model of QCD at finite density and the nature of the quenched limit
read the original abstract
We use a random matrix model to study chiral symmetry breaking in QCD at finite chemical potential $\mu$. We solve the model and compute the eigenvalue density of the Dirac matrix on a complex plane. A naive ``replica trick'' fails for $\mu\neq0$: we find that quenched QCD is not a simple $n\to0$ limit of QCD with $n$ quarks. It is the limit of a theory with $2n$ quarks: $n$ quarks with original action and $n$ quarks with conjugate action. The results agree with earlier studies of lattice QCD at $\mu\neq0$ and provide a simple analytical explanation of a long-standing puzzle.
Forward citations
Cited by 3 Pith papers
-
Relativistic Cooper pairing in the microscopic limit of chiral random matrix theory
A new non-Hermitian chiral random matrix model exhibits color-flavor locking for three flavors and the two-flavor color-superconducting phase for two flavors in the microscopic large-N limit.
-
Path optimization method for the sign problem: Insights from random matrix models
Path optimization improves the average phase factor in the Stephanov model at high chemical potential but not at low chemical potential or in the chiral random matrix model, pointing to the global sign problem as the ...
-
Gravitational waves from holographic first-order QCD phase transition with magnetic field
In holographic QCD models, a stronger external magnetic field shifts the gravitational-wave peak from the first-order confinement transition to lower frequencies, with signals potentially visible to IPTA and SKA.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.