[seminar] F. Franchini, 14.05. (četvrtak) 14h (s.t.=TOCNO), Seminar ZTF-a, I krilo IRB

[Kornelija Passek-Kumericki]

                       SEMINAR  TEORIJSKE  FIZIKE


   (Zajednički seminari Fizičkog odsjeka PMF-a te Zavoda za teorijsku
    fiziku i Zavoda za eksperimentalnu fiziku IRB-a)

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Spontaneous breaking of U(N) symmetry in invariant matrix models and
ergodicity breaking


Fabio Franchini 
INFN – Firenze


   Datum:  četvrtak, 14. svibnja 2015.
   Vrijeme: 14 sati s.t.
   Mjesto: IRB, seminar ZTF-a, I krilo


Sazetak:

We introduce the study of the eigenvectors of a random matrix. 
Traditionally, the requirement of base invariance has lead to the conclusion 
that invariant models describe extended systems. We show that deviations of the 
eigenvalue statistics from the Wigner-Dyson universality reflects itself on the
eigenvector distribution. In particular, gaps in the eigenvalue density spontaneously 
break the U(N) symmetry to a smaller one. Models with log-normal weight, such as those 
emerging in Chern-Simons and ABJM theories, break the U(N) in a critical way, 
resulting into a multi-fractal eigenvector statistics.
These results pave the way to the exploration of localization problems using 
random matrices via the study of new classes of observables and potentially to novel, 
interdisciplinary, applications of matrix models.






Voditeljica seminara: Kornelija Passek-Kumericki (passek at irb dot hr)
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