Zeros of the partition function for 12 flavor QCD

Anas Saleh; Michael Hite; Diego Floor; Yannick Meurice

doi:10.48550/arxiv.2606.14642

Back

Zeros of the partition function for 12 flavor QCD

Preprint

Open access

Zeros of the partition function for 12 flavor QCD

Anas Saleh, Michael Hite, Diego Floor and Yannick Meurice

ArXiv.org

Cornell University

06/12/2026

DOI: 10.48550/arxiv.2606.14642

Files and links (1)

url

https://doi.org/10.48550/arxiv.2606.14642View

Preprint (Author's original) This preprint has not been evaluated by subject experts through peer review. Preprints may undergo extensive changes and/or become peer-reviewed journal articles. Open Access

Abstract

We consider a four dimensionalSU(3)lattice gauge theory with 12 staggered fermions having identical masses and an unimproved action. Using sets of plaquette distributions for various inverse bare couplingsβ , we reconstruct the density of states with the Ferrenberg -Swendsen method and calculate the zeros of the partition in the complexβplane with bare quark massesm_(q)= 0.02, 0.06, 0.08 and 0.1 for hypercubes of linear sizeL = 4, 6, 8, 10, and 12. Our hypothesis is that there is a line of first order transitions in the(m_(q),β)plane ending at a second order phase transition. We expect this transition to be in the 4D Ising, mean field, universality class. We fit theLdependence of the zeros with the lowest imaginary part using two ( y = bL⁻ᵈ ) and three ( y = a + bL⁻ᵈ ) parameter fits. Form_(q)= 0.02 the results provide strong support for a first order phase transition ( d=3.98(6) , andastatistically compatible with 0). The results also indicate, with less statistical significance form_(q)=0.06 , that the three other masses are above the critical valuem_(q)ᶜ . In addition, we suggest that the infinite volume gap for the lowest zeroa , can be represented asa≃ A(m_(q)-m_(q)ᶜ)ᴮwithm_(q)ᶜ∼ 0.05andB∼ 1 . Given that there are only three data points with significant error bars, it is difficult to rule out the mean field valueB=3/2 . Combining this result with spectroscopic results by Jin and Mawhinney, indicates that the gap with real axis (Lee-Yang edge) scales roughly likem_(σ)² , wherem_(σ)is the mass of the0⁺⁺scalar which is also the lowest excitation.

Physics - High Energy Physics - Lattice

Details

Title: Subtitle: Zeros of the partition function for 12 flavor QCD
Creators: Anas Saleh
Michael Hite
Diego Floor
Yannick Meurice
Resource Type: Preprint
Publication Details: ArXiv.org
DOI: 10.48550/arxiv.2606.14642
ISSN: 2331-8422
Publisher: Cornell University; Ithaca, New York
Language: English
Date posted: 06/12/2026
Academic Unit: Physics and Astronomy
Record Identifier: 9985175463002771

Metrics

1 Record Views