Series:

Publications of the Scuola Normale Superiore

1 primary work • 3 total works

Book 19

Cover of Symmetry Breaking in the Standard Model
The book provides a non-perturbative approach to the symmetry breaking in the standard model, in this way avoiding the critical issues which affect the standard presentations. The debated empirical meaning of global and local gauge symmetries is clarified. The absence of Goldstone bosons in the Higgs mechanism is non-perturbatively explained by the validity of Gauss laws obeyed by the currents which generate the relatedglobal gauge symmetry. The solution of the U(1) problem and the vacuum structure in quantum chromodynamics (QCD) are obtained without recourse to the problematic semiclassical instanton approximation, by rather exploiting the topology of the gauge group.

Cover of Topics in functional analysis 1980-81
This is a collection of the following articles: F. Strocchi, Classification of solutions of non-linear hyperbolic equations and non-linear elliptic problems, E.H. Zarantonello, Conical spectral theory, E. De Giorgi, Generalized limits in calculus of variations, G. Dal Maso and L. Modica, A general theory of variational functionals.

Cover of Symmetry breaking in classical systems
These notes essentially reproduce lectures given at the International School for Advances Studies (Trieste) and at the Scuola Normale Superiore (Pisa) on various occasions. The scope of the short series of lectures was to extend on general grounds, also to mathematicians, the phenomenon of Spontaneous Symmetry Breaking (SSB), a mechanism which seems at the basis of the recent developments in theoretical physics (from statistical mechanics to many-body theory and to elementary particle theory). Besides its extraordinary success, the idea of SSB deserves being discussed also because of its innovative philosophical content and in our opinion it should be part of the background knowledge for mathematical and theoretical physics students, especially those who are interested in questions of principle and in general mathematical structures.