From Quantum Fields to Spin Glasses

Roberto Aloisio is Professor of Physics at the Gran Sasso Science Institute in L'Aquila. His research lies at the intersection of particle physics and astrophysics, addressing the most energetic phenomena in the universe and their theoretical interpretation. Maria Chiara Angelini is a researcher at the Sapienza University of Rome, and her work is focused on statistical physics, disordered systems, optimization and inference problems. She has written two popular science books (published in Italian): MatematicaMente (Gribaudo, 2023) and Giorgio Parisi – La fisica che domina il caos, dal clima alle neuroscienze (La Repubblica – Le Scienze, 2024). Marco Bonvini is a theoretical physicist at INFN Rome. His research focuses on quantum chromodynamics and Higgs physics, with seminal contributions on parton distributions, resummation, and the quantification of theoretical uncertainties using Bayesian inference. Giacomo Gradenigo is Associate Professor of Theoretical Physics at the Department of Physics and Astronomy of Padova. His research ranges from problems in the statistical mechanics of disordered systems to functional non-perturbative approaches in quantum field theory and quantum mechanics. Enzo Marinari is Professor of Physics at the Sapienza University of Rome. His main research focus is the statistical physics of disordered systems. Antonio Davide Polosa is Professor of Physics at the Sapienza University of Rome. His research is on hadron collider physics, exotic hadrons phenomenology, particularly tetraquarks and pentaquarks, and direct dark matter detection with condensed matter targets. Federico Ricci-Tersenghi is Professor of Theoretical Physics at the Sapienza University of Rome. His primary field of research is the statistical physics of disordered systems, with key applications in the study of high-dimensional optimization and inference problems, as well as machine learning.

• List of contributors; Preface; 1. Asymptotic freedom in Parton language: the birth of perturbative QCD Stefano Forte; 2. Planar diagrams ... and their offsprings E´douard Bre´zin; 3. Re-thinking the standard model at asymptotically large Euclidean momenta Luciano Maiani; 4. Random magnetic fields, supersymmetry, and negative dimen-sions Slava Rychkov; 5. Infinite number of order parameters for spin-glasses Marc Me´zard; 6. Perturbation theory without gauge fixing and at fixed dimen-sion: two seminal contributions Andrea Pelissetto; 7. The golden ratio: from quenched spectroscopy on a 63 × 12 Lat-tice to unquenched radiative decays on a 963 × 192 lattice Guido Martinelli; 8. Noise and climate dynamics Roberto Benzi, Angelo Vulpiani; 9. Anomalous scaling in fully developed turbulence Angelo Vulpiani and Roberto Benzi; 10. Dynamic scaling of growing interfaces Pierre Le Doussal; 11. Glueball masses and string tension in lattice QCD Maria Paola Lombardo; 12. Simulated tempering and other fantastic beasts Enzo Marinari; 13. From spin glass theory to optimization in high dimensions and modern artificial neural networks Riccardo Zecchina and Gianmarco Perrupato; 14. Interaction ruling animal collective behavior depends on topo-logical rather than metric distance: evidence from a field study Michele Ballerini, Nicola Cabibbo, Raphael Candelier, Andrea Cavagna, Evaristo Cisbani, Irene Giardina, Vivien Lecomte, Alberto Orlandi, Giorgio Parisi, Andrea Procaccini, Massimiliano Viale and Vladimir Zdravkovic; 15. Putting order into disorder: an application to the chronology of my first works Giorgio Parisi.