HEP Lattice·hep-lat

Tue·Jul 21, 2026Tuesday·July 21, 2026

5 papers—2 primary·3 cross-listed

01
Scalar glueball- $s s ˉ$ mixing in one flavor lattice QCD
Long-Cheng Gui🇨🇳 · Wei Sun🇨🇳 · Ying Chen🇨🇳 · Ming Gong🇨🇳 · Geng Li🇨🇳 · Zhaofeng Liu🇨🇳
We investigate the mixing between the lowest-lying scalar glueball and the $s s$ meson in $N_{f} = 1$ lattice quantum chromodynamics (QCD) utilizing an anisotropic $1 6^{3} \times 128$ lattice ensemble at a lattice spacing $a_{s} \approx 0.148 fm$ . By solving a generalized eigenvalue problem (GEVP) for the optimized glueball and $s s$ scalar operators in the $J^{PC} = 0^{++}$ channel, the masses of the two lowest-lying eigenstates are determined to be $m_{1} = 1.290 (20) GeV$ and $m_{2} = 1.777 (49) GeV$ . By extracting the couplings of these mass eigenstates to the glueball and $s s ˉ$ operators, we determine a substantial mixing angle $∣ θ ∣ \approx 40.7 (2.7)^{\circ}$ and a large mixing energy $x_{s} = 239 (24)$ MeV. These results indicate a strong glueball- $s s ˉ$ mixing in the scalar sector, providing important non-perturbative inputs for understanding the nature of the experimental isoscalar scalar mesons. The continuum limit of the mixing energy and its quark mass dependence need to be investigated in the future.
hep-lathep-exhep-ph0 citations
02
Renormalization of meson susceptibilities and RG-invariant symmetry ratios in QCD
Ting-Wai Chiu🇹🇼
We analyze the ultraviolet divergence structure of meson susceptibilities in finite-temperature QCD, for lattice formulations with exact chiral symmetry. The bare susceptibility separates into additive divergences and a multiplicative renormalization $Z_{Γ}^{2}$ . The additive divergences are temperature-independent, and are removed by the temperature subtraction. They consist of the leading power divergence $α_{Γ} / (2 a^{2})$ from the identity operator, together with a mass-dependent logarithmic term $\propto m^{2} ln (1/ (am))$ . Exact chiral symmetry forbids all mass-dependent \emph{power} divergences of the susceptibility. The multiplicative factor $Z_{Γ}^{2}$ has a logarithmic dependence on the lattice spacing, controlled by the operator anomalous dimension. We show that the symmetry ratio $κ_{A B} = (χ_{A}^{reg} - χ_{B}^{reg}) / (χ_{A}^{reg} + χ_{B}^{reg})$ , built from temperature-subtracted susceptibilities of symmetry partners, is exactly renormalization-group invariant and scheme-independent. The additive divergence is removed by the subtraction, and the multiplicative factor cancels through the equality $Z_{A} = Z_{B}$ . This equality holds for any number of flavors and any quark masses in a mass-independent scheme, unaffected by spontaneous symmetry breaking or the $U (1)_{A}$ anomaly. We derive the complete $Z$ -factor chains for all meson channels and contrast the divergence structure with that of Wilson fermions, for which the explicit chiral-symmetry breaking induces a chiral-odd power-divergent mixing and spoils the equality $Z_{A} = Z_{B}$ on which the construction relies.
hep-lathep-phhep-th1 citation
03
Universality of Magic in Local Quantum Field Theory
Valentin Benedetti🇮🇹 · Atish Dabholkar🇮🇹 · Marcello Dalmonte🇮🇹
We show that no stabilizer state in a discrete realization of a local quantum field theory can flow in the continuum to the vacuum or to any state that resembles the vacuum at short distances. The argument rests on the fact that the entanglement spectrum is flat for stabilizer states but non-flat for cyclic and separating states in a local QFT as a consequence of the type III $_{1}$ nature of the von Neumann algebras associated with arbitrary subregions. Our result implies that simulating physically relevant QFT states necessarily requires quantum resources beyond stabilizer states and Clifford operations. We comment on the implications for holography.
↳ hep-thcond-mat.stat-mechhep-latquant-ph6 citations
04
Quantum phases at high chemical potential in 2-flavor matrix-QC $_{2}$ D
Nirmalendu Acharyya🇮🇳 · Prasanjit Aich🇮🇳 · Arkajyoti Bandyopadhyay🇮🇳 · Sachindeo Vaidya🇮🇳
We investigate the matrix model of two-color two-flavor QCD (matrix-QCD $_{2, 2}$ ) in regimes with large baryon ( $μ_{_{B}}$ ), isospin ( $μ_{_{I}}$ ), and/or chiral ( $c$ ) chemical potentials. In these regimes, the Hamiltonian simplifies considerably, making it possible to investigate the ground state for intermediate and strong Yang-Mills coupling. By diagonalizing the Hamiltonian using the variational techniques, we show that in regimes where $μ_{_{B}}$ and $c$ (or $μ_{_{B}}$ and $μ_{_{I}}$ ) dominate, tuning the remaining parameters leads to quantum phase transitions (QPTs). These transitions form a complex web of phases, each of which has a ground state uniquely labelled by baryon number $B$ and isospin $I$ . Several of these phases are LOFF-like, characterized by a ground state carrying non-zero spin and hence spontaneously breaking rotational symmetry. These results are consistent with older effective field theory predictions by Splittorff-Son-Stephanov \cite{Splittorff:2000mm}. The fermionic content of these LOFF-like ground states consists of spin-1 di-(anti-) quarks which are analogous to Cooper pairs. We compute the spin-fraction carried by the quarks and find that it constitutes a significant portion -- in some cases nearly the entirety -- of the total spin.
↳ hep-thhep-lat1 citation
05
Heavy quark mass dependence of the $Λ_{Q}$ light-cone distribution amplitude in QCD
Yu-Ji Shi🇨🇳 · Ji Xu🇨🇳 · Shuai Zhao🇨🇳
We study the heavy quark mass dependence of the leading-twist light-cone distribution amplitude (LCDA) of the $Λ_{Q}$ baryon in QCD. Starting from the factorization formula that relates the QCD LCDA to the boosted heavy-quark effective theory (bHQET) LCDA, we derive a first-order partial differential equation governing this mass dependence in the peak region. The equation is solved analytically, and the explicit factor connecting LCDAs at different heavy quark masses is presented. We further incorporate Borel-resummed perturbative corrections from a renormalon model into the factorization. The impact of these renormalon corrections on the mass dependence is studied, and a numerical analysis using a simple LCDA model is performed to illustrate the behavior and to assess the uncertainties arising from the corrections, thereby providing a numerical estimate of the associated power corrections to the mass dependence. Our results provide an essential tool for extrapolating lattice QCD calculations of heavy-baryon LCDAs from smaller simulated masses to the physical bottom quark mass.
↳ hep-phhep-lat1 citation

Affiliations

first authorsco-authorsvia INSPIRE

Scalar glueball-ssˉ mixing in one flavor lattice QCD

Renormalization of meson susceptibilities and RG-invariant symmetry ratios in QCD

Universality of Magic in Local Quantum Field Theory

Quantum phases at high chemical potential in 2-flavor matrix-QC2​D

Heavy quark mass dependence of the ΛQ​ light-cone distribution amplitude in QCD

Affiliations

Scalar glueball- $s s ˉ$ mixing in one flavor lattice QCD

Quantum phases at high chemical potential in 2-flavor matrix-QC $_{2}$ D

Heavy quark mass dependence of the $Λ_{Q}$ light-cone distribution amplitude in QCD