Claudio Bonanno

Real-time topological rate at non-zero momentum in quenched QCD

Claudio Bonanno, Massimo D'Elia, Roberto Dionisio +5

We present a proof-of-concept numerical study of the real-time topological rate at non-zero momentum in quenched lattice QCD at a temperature $T ≃ 1.24 T_{c} ≃ 360$ MeV,…

The large- $N$ Yang--Mills $Λ$ -parameter from step scaling

Claudio Bonanno, Jorge Luis Dasilva Golán, Margarita García Pérez +1

We use the step-scaling method and results obtained at $N = 3, 5$ and $8$ to determine the $N$ -dependence of the dynamically generated scale $Λ$ of $SU (N)$ Yang--Mills the…

The topological susceptibility slope $χ^{'}$ in the large- $N$ limit

Claudio Bonanno

This paper presents the first non-perturbative lattice determination of the Yang--Mills topological susceptibility slope $χ^{'}$ in the large- $N$ limit. This quantity represents…

Topological Susceptibility and QCD at Finite Theta Angle

Claudio Bonanno, Claudio Bonati, Massimo D'Elia

In this chapter we provide a pedagogical introduction to the main theoretical aspects related to topology and $θ$ -dependence in Quantum Chromo-Dynamics (QCD), and to their phenomen…

A scalable flow-based approach to mitigate topological freezing

Claudio Bonanno, Andrea Bulgarelli, Elia Cellini +4

As lattice gauge theories with non-trivial topological features are driven towards the continuum limit, standard Markov Chain Monte Carlo simulations suffer for topological freezin…

Lattice determination of the QCD low-energy constant $ℓ_{7}$

Claudio Bonanno, Gilberto Colangelo, Francesco D'Angelo +8

We provide a non-perturbative determination of the scheme- and scale-independent low-energy constant $ℓ_{7}$ , appearing in the QCD effective chiral Lagrangia…

Scale setting of SU( $N$ ) Yang--Mills theory, topology and large- $N$ volume independence

Claudio Bonanno, Jorge Luis Dasilva Golán, Margarita García Pérez +2

We set the scale of SU( $N$ ) Yang--Mills theories for $N = 3, 5, 8$ and in the large- $N$ limit via gradient flow, as a first step towards the computation of the large- $N$ $Λ$ -parameter…

The large- $N$ limit of the topological susceptibility of $SU (N)$ Yang-Mills theories via Parallel Tempering on Boundary Conditions

Claudio Bonanno

I present a large- $N$ determination of the topological susceptibility $χ$ of $SU (N)$ Yang--Mills theories using non-perturbative numerical Monte Carlo simulations of the l…

Strong CP problem, theta term and QCD topological properties

Claudio Bonanno, Claudio Bonati, Massimo D'Elia

In this chapter we introduce the $θ$ -dependence and the topological properties of QCD, features of the strongly interacting sector which give rise to the strong CP problem in the m…

Scale setting of $SU (N)$ Yang-Mills theories via Twisted Gradient Flow

Claudio Bonanno, Jorge Luis Dasilva Golán, Massimo D'Elia +2

We present preliminary results for the scale setting of $SU (N)$ Yang-Mills theories using twisted boundary conditions and the gradient-flow scale $t_{0}$ . The end goa…

An update on the determination of the sphaleron rate in finite temperature QCD

Nicolò Bellini, Claudio Bonanno, Francesco D'Angelo +3

The sphaleron rate is a key phenomenological quantity both for the axion thermal production in the Early Universe and the Chiral Magnetic Effect occurring in the Quark-Gluon Plasma…

The imaginary- $θ$ dependence of the SU( $N$ ) spectrum

Claudio Bonanno, Claudio Bonati, Mario Papace +1

In this talk we will report on a study of the $θ$ -dependence of the string tension and of the mass gap of four-dimensional SU( $N$ ) Yang--Mills theories. The spectrum at $N = 3$ and $…

Topological susceptibility of $SU (3)$ pure-gauge theory from out-of-equilibrium simulations

Claudio Bonanno, Alessandro Nada, Davide Vadacchino

In \textit{JHEP} \textbf{04} (2024) 126 [arXiv:2402.06561] we recently proposed an out-of-equilibrium setup to reduce the large auto-correlations of the topological charge in two-d…

Non-perturbative determination of the $N_{f} = 2 + 1$ QCD sphaleron rate

Claudio Bonanno, Francesco D'Angelo, Massimo D'Elia +2

The strong sphaleron rate, i.e., the rate of real time QCD topological transitions, is a key phenomenological quantity, playing a fundamental role in several physical contexts. In…

Full QCD with milder topological freezing

Claudio Bonanno, Giuseppe Clemente, Massimo D'Elia +2

We simulate $N_{f} = 2 + 1$ QCD at the physical point combining open and periodic boundary conditions in a parallel tempering framework, following the original proposal by M. Hasenbusch…

Dirac Spectral Density in N $_{f}$ =2+1 QCD at T=230 MeV

Andrei Alexandru, Claudio Bonanno, Massimo D'Elia +1

We compute the renormalized Dirac spectral density in $N_{f} = 2 + 1$ QCD at physical quark masses, temperature $T = 230$ MeV and system size $L_{s} = 3.4$ fm. To that end, we perform a…

The $SU (3)$ twisted gradient flow strong coupling without topological freezing

Claudio Bonanno, Jorge Luis Dasilva Golán, Massimo D'Elia +2

We investigate the role of topology on the lattice determination of the $SU (3)$ strong coupling renormalized via gradient flow. To deal with the topological freezing of st…

Mitigating topological freezing using out-of-equilibrium simulations

Claudio Bonanno, Alessandro Nada, Davide Vadacchino

Motivated by the recently-established connection between Jarzynski's equality and the theoretical framework of Stochastic Normalizing Flows, we investigate a protocol relying on ou…

The $θ$ -dependence of the Yang-Mills spectrum from analytic continuation

Claudio Bonanno, Claudio Bonati, Mario Papace +1

We study the $θ$ -dependence of the string tension and of the lightest glueball mass in four-dimensional $SU (N)$ Yang-Mills theories. More precisely, we focus on the coeffi…

Chiral condensate from the spectrum of the staggered Dirac operator

Claudio Bonanno, Francesco D'Angelo, Massimo D'Elia

The chiral condensate is computed from the mode number of the staggered Dirac operator. This result is compared with those obtained with other approaches, based on the quark mass d…

Sphaleron rate as an inverse problem: a novel lattice approach

Claudio Bonanno, Francesco D'Angelo, Massimo D'Elia +2

We compute the sphaleron rate on the lattice. We adopt a novel strategy based on the extraction of the spectral density via a modified version of the Backus-Gilbert method from fin…

The Twisted Gradient Flow strong coupling with Parallel Tempering on Boundary Conditions

Claudio Bonanno, Jorge Luis Dasilva Golán, Massimo D'Elia +2

We present a proposal for calculating the running of the coupling constant of the $SU (3)$ pure-gauge theory, which combines the Twisted Gradient Flow (TGF) renormalization…

The $θ$ -dependence of the $SU (N)$ critical temperature at large $N$

Claudio Bonanno, Massimo D'Elia, Lorenzo Verzichelli

We investigate, by means of numerical lattice simulations, the $θ$ -dependence of the critical deconfinement temperature of $SU (N)$ gauge theories at large $N$ : $T_c(θ) = T…