HEP Lattice·hep-lat

Wed·Jun 24, 2026Wednesday·June 24, 2026

4 papers—1 primary·3 cross-listed

01
One-Loop Renormalization of the Improved Energy-Momentum Tensor in Lattice QCD
Mushtaq Loan🇨🇳 · Nasser Demir🇰🇼
We present the one-loop renormalization of the improved gluonic energy-momentum tensor (EMT) by employing a three-loop-improved clover discretization of the field-strength tensor in pure SU(3) lattice gauge theory. The renormalization factor is extracted by matching the amputated two-gluon matrix element of the lattice energy-momentum tensor to the continuum MSbar scheme. The one-loop contribution is separated into sail, operator-tadpole, and external-leg corrections, each expressed in terms of a minimal set of scalar Brillouin-zone integrals to obtain the explicit expression for the finite lattice coefficient B_lat(u_0) and the multiplicative renormalization factor Z_T(u_0) associated with the traceless spin-2 component of the energy-momentum tensor. A key result, obtained in this framework, is the clear distinction between two sectors: the spin-2 sector, governed by Z_T, and the scalar trace sector, which encompasses the Yang-Mills trace anomaly. The trace is determined by the scalar operator F_{\rho\sigma}F_{\rho\sigma} and the Yang-Mills beta function, rather than by the spin-2 renormalization factor. The renormalized EMT modifies the normalization and short-distance behaviour of energy-density correlators through both traceless and scalar-channel contributions. Comparison with existing lattice thermodynamic data demonstrates that the improved operator accurately reproduces the expected temperature dependence of the trace anomaly and offers a systematically improvable framework for investigating the equation of state, gluon condensate, and transport coefficients in lattice QCD.
hep-lat0 citations
02
From Magnetic to Inverse Magnetic Catalysis: The Interplay of Quark and Gluon Mass Generation in Magnetic Fields
Fei Gao🇨🇳 · Kairen Huang🇨🇳 · Yi Lu🇨🇳 · Yuxin Liu🇨🇳
We analyze the effects of the magnetic field on the quark and gluon propagators within the functional QCD framework. By solving the coupled Dyson-Schwinger equations for the quark and gluon propagators, we find that the quark mass is generally enhanced in the presence of a magnetic field, leading to magnetic catalysis of the chiral condensate. Meanwhile, the magnetic field also induces an increase in the gluon screening mass. The enhancement of the gluon screening mass suppresses the quark-gluon interaction and thereby weakens the strength of dynamical chiral symmetry breaking, establishing a competing mechanism against magnetic catalysis. In particular, this enhancement of the gluon screening mass becomes dominant near the chiral phase transition, which in turn gives rise to inverse magnetic catalysis.
↳ hep-phhep-lathep-thnucl-ex+11 citation
03
Out-of-equilibrium scaling of the particle density in quantum fermionic wires after a critical quenching of the chemical potential
H. Panagopoulos🇨🇾 · E. Vicari🇮🇹
We study the out-of-equilibrium scaling behavior of the particle density in quantum fermionic Kitaev wires, after instantaneous quantum quenches (QQs) of the chemical potential within their quantum critical region. The critical scaling of the ground-state particle density is known to be subleading at its Ising-like quantum transition, hidden by regular and logarithmic terms arising from peculiar mixings with the identity operator. This situation changes along the out-of-equilibrium dynamics arising from QQs of the chemical potential to the critical point, starting from the ground state for Hamiltonian parameters within the critical region. We analytically show that the difference between the post-QQ particle density and its critical value develops an out-of-equilibrium scaling behavior, in terms of the dynamic scaling variable $θ \sim t / ξ^{z}$ (where $t > 0$ is the post-QQ time, $ξ$ is the length scale of the initial state, and $z$ is the dynamic critical exponent) associated with the post-QQ time evolution. The scaling function turns out to have a peculiar singular behavior in the $θ \to 0$ limit, apparently related to the anomalous equilibrium scaling behavior of the particle density at the starting point of the QQ protocol. This provides analytical evidence of earlier conjectures on the general emergence of post-QQ dynamic scaling behaviors of the subtracted particle density (supported by numerical finite-size scaling analyses), unlike their equilibrium counterpart which turns out to be dominated by nonuniversal contributions.
↳ cond-mat.stat-mechhep-lat0 citations
04
Analytic electromagnetic signatures of compact pentaquark structure: A multi-current QCD light-cone sum rules analysis of the $P_{ψ s}^{Λ}$ states
Ulaş Özdem🇹🇷
Probing the internal organization of hidden-charm pentaquarks -- including the spin-color correlations that distinguish compact diquark-diquark-antiquark configurations from loosely bound hadronic molecules -- requires observables beyond mass spectroscopy. We argue that multi-current QCD light-cone sum rules (LCSR) provide a diagnostic framework through exact analytic relations among flavor-sector contributions enforced by the algebra of the interpolating currents. We identify two such signatures: (i) the light-quark contributions satisfy $μ_{u} / μ_{d} = e_{u} / e_{d} = - 2$ in all four currents considered, reflecting a common Lorentz-color kernel; and (ii) for the $J_{3} (x)$ current the charm contribution vanishes identically, $μ_{c} = 0$ , from the Dirac structure of the anti-charm coupling rather than the pseudoscalar charm-diquark embedding alone. Using four diquark-diquark-antiquark currents $J_{1} (x)$ - $J_{4} (x)$ with $J^{P} = \frac{1}{2}^{-}$ , we obtain $μ_{J_{1}} = - 1.3 5_{- 0.28}^{+ 0.35} μ_{N}$ , $μ_{J_{2}} = 3.1 4_{- 0.50}^{+ 0.65} μ_{N}$ , $μ_{J_{3}} = 1.0 1_{- 0.20}^{+ 0.25} μ_{N}$ , $μ_{J_{4}} = - 1.7 9_{- 0.34}^{+ 0.41} μ_{N}$ . These predictions are paired with the $P_{ψ s}^{Λ} (4338)$ and $P_{ψ s}^{Λ} (4459)$ on mass grounds as a working hypothesis, since the $\pm 0.11 GeV$ uncertainties accommodate either state within $1 σ$ of all four currents. The magnitudes $∣ μ ∣ \sim 1$ - $3 μ_{N}$ lie above quark-model and heavy pentaquark chiral perturbation theory expectations ( $∣ μ ∣ ≲ 0.5 μ_{N}$ ). Applying the same procedure to two previous molecular LCSR analyses yields $μ_{u} / μ_{d} = - 1/2$ rather than $- 2$ , providing an LCSR-internal contrast at the flavor-decomposed level even when total magnitudes are comparable. The two signatures are immune to the state-to-current pairing and offer falsifiable tests of the compact picture.
↳ hep-phhep-exhep-latPRD(2026)·0 citations

Affiliations

first authorsco-authorsvia INSPIRE

One-Loop Renormalization of the Improved Energy-Momentum Tensor in Lattice QCD

From Magnetic to Inverse Magnetic Catalysis: The Interplay of Quark and Gluon Mass Generation in Magnetic Fields

Out-of-equilibrium scaling of the particle density in quantum fermionic wires after a critical quenching of the chemical potential

Analytic electromagnetic signatures of compact pentaquark structure: A multi-current QCD light-cone sum rules analysis of the PψsΛ​ states

Affiliations

Analytic electromagnetic signatures of compact pentaquark structure: A multi-current QCD light-cone sum rules analysis of the $P_{ψ s}^{Λ}$ states