Complex Systems Studies

Thursday 01/06/2023 in Aula Amaldi there will be the last session of the Series "Interdisciplinary contribution of Giorgio Parisi to theoretical physics."

This time we are very happy to announce a double appointment!

At 14h30 Riccardo Zecchina (Bocconi, Milano) will speak about the paper "Analytic and algorithmic solution of random satisfiability problems", Marc Mézard, Giorgio Parisi, Riccardo Zecchina, Science 297 (5582), 812 (2002)

At 15h30 there will be a coffee break.

At 16h00 Luciano Maiani (Sapienza, Roma) will speak about the paper "Bounds on the fermions and Higgs boson masses in grand unified theories", Nicola Cabibbo, Luciano Maiani, Giorgio Parisi, Roberto Petronzio, Nuclear Physics B 158 (2-3), 295 (1979).

We really hope you will be able to come. However, if this is not the case, you can follow it on zoom: https://l.infn.it/parisizoom
On the website https://l.infn.it/parisi , you can also find the recorded past seminars.

Speaker: Riccardo Zecchina
Title: From Spin Glasses theory to Optimization in High Dimensions and Modern Artificial Neural Networks
Abstract: This talk pays tribute to Giorgio Parisi's groundbreaking work by exploring his significant contributions to the cutting-edge fields of computer science and machine learning.

The first segment of the talk focuses on the profound implications of replica symmetry breaking theory in the field of computer science. It explains how this conceptual framework has fostered new computational methods and mathematical challenges in high dimensions.

The second part of the discussion focuses on contemporary applications of these ideas in the field of artificial neural networks. By examining their connections to problems of constrained optimization and inference, we reveal the influence of Parisi's work on our understanding of contemporary artificial neural systems. We hope to invite reflection on the past, examination of the present, and speculation on the future of RSB theory in these intertwined disciplines.

Speaker: Luciano Maiani
Title: Re-thinking the Standard Theory at Asymptotically Large Momenta
Abstract: I consider a paper by Parisi, Petronzio and myself (MPP, 1978) with the idea that the couplings of the Standard Theory all diverge at the Planck mass, Mpl=1.9 10^{+19} GeV, the energy scale of the onset of Gravity. As shown by MPP, this condition requires N=8 quark and lepton generations and predicts successfully the values of the low-energy couplings of the Standard Theory. A successive study extended to low energy Supersymmetry by Cabibbo and Farrar (CF, 1982) leads to N=5 generations and similarly good values of the low energy couplings. In absence of a positive observation of proton’s decay, MPP and CF provide an alternative to Grand Unification, and anticipate a direct unification of the Standard Theory with Quantum Gravity, Superstrings etc. still to be studied.

I will also discuss a second line of research, initiated by Cabibbo, Parisi, Petronzio and myself (CMPP, 1979), concerning the bounds to the Higgs boson and the top quark masses arising from the requirement of a stable electroweak vacuum up to the Grand Unification scale. The observed Higgs boson and top quark masses are inside, but very close to, the borders of the stability region. Successive studies by Altarelli and Isidori (1994) and by De Grassi et al. (2012) have shown that stability extends up to the Planck Mass, suggesting again a direct unification of the Standard Theory to Quantum Gravity.

Best!

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