activity
20232025
collaborators

11 papers

hep-lat2025

Dirac spectrum in the chirally symmetric phase of a gauge theory. II

Matteo Giordano

I discuss the consequences of the constraints imposed on the Dirac spectrum by the restoration of chiral symmetry in the chiral limit of gauge theories with two light fermion flavo…

hep-lat2025

Dirac spectrum in the chirally symmetric phase of a gauge theory. I

Matteo Giordano

I study the consequences of chiral symmetry restoration for the Dirac spectrum in finite-temperature gauge theories in the two-flavor chiral limit, using Ginsparg--Wilson fermions…

hep-lat2025

Comment on "Chiral symmetry restoration, the eigenvalue density of the Dirac operator, and the axial U(1) anomaly at finite temperature"

Matteo Giordano

Aoki, Fukaya, and Taniguchi claim that both the spectral density of the Dirac operator at the origin and the topological susceptibility must vanish identically for sufficiently sma…

hep-lat2025

Localization in the Dirac spectrum and gauge-field topology

Claudio Bonanno, Matteo Giordano

We study localization of the low Dirac modes in 3+1 dimensional pure gauge theory at zero and nonzero imaginary angle, with the aim of better characterizing th…

hep-lat2025

Localization of Dirac modes in a finite temperature SU(2) Higgs model

György Baranka, Matteo Giordano

Low-lying Dirac modes become localized at the finite-temperature transition in QCD and other gauge theories, indicating a strong connection between localization and deconfinement.…

hep-lat2024

Constraints on the Dirac spectrum from chiral symmetry restoration and the fate of symmetry

Matteo Giordano

I discuss chiral symmetry restoration in the chiral limit of QCD with two light quark flavours of mass , focussing on its consequences for scalar and pseudoscalar susce…

hep-lat2024

Center vortices and localized Dirac modes in the deconfined phase of (2+1)-dimensional lattice gauge theory

György Baranka, Dénes Berta, Matteo Giordano

We study the deconfinement transition in (2+1)-dimensional lattice gauge theory both as a percolation transition of center vortices and as a localization transition…

hep-th2024

Phase diagram of a generalized Stephanov model for finite-density QCD

György Baranka, Matteo Giordano

We solve a random matrix model for QCD at finite chemical potential, obtained by generalizing the Stephanov model by modifying the random-matrix integration measure with a one-para…

hep-lat2024

Constraints on the Dirac spectrum from chiral symmetry restoration

Matteo Giordano

I derive constraints on the Dirac spectrum in the chirally symmetric phase of a gauge theory with two massless fermion flavors. Using only general properties of correlation functio…

hep-lat2023

Continuum limit of the mobility edge and taste-degeneracy effects in high-temperature lattice QCD with staggered quarks

Claudio Bonanno, Matteo Giordano

We study the effects of taste degeneracy on the continuum scaling of the localization properties of the staggered Dirac operator in high-temperature QCD using numerical simulations…

hep-lat2023

Localization of Dirac modes in the Higgs model at finite temperature

György Baranka, Matteo Giordano

We investigate the connection between localization of low-lying Dirac modes and Polyakov-loop ordering in the lattice Higgs model at finite temperature, probed wit…