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In this book the authors develop and work out applications to
gravity and gauge theories and their interactions with generic
matter fields, including spinors in full detail. Spinor fields in
particular appear to be the prototypes of truly gauge-natural
objects, which are not purely gauge nor purely natural, so that
they are a paradigmatic example of the intriguing relations between
gauge natural geometry and physical phenomenology. In particular,
the gauge natural framework for spinors is developed in this book
in full detail, and it is shown to be fundamentally related to the
interaction between fermions and dynamical tetrad gravity.
In this book the authors develop and work out applications to
gravity and gauge theories and their interactions with generic
matter fields, including spinors in full detail. Spinor fields in
particular appear to be the prototypes of truly gauge-natural
objects, which are not purely gauge nor purely natural, so that
they are a paradigmatic example of the intriguing relations between
gauge natural geometry and physical phenomenology. In particular,
the gauge natural framework for spinors is developed in this book
in full detail, and it is shown to be fundamentally related to the
interaction between fermions and dynamical tetrad gravity.
A survey of the most recent developments in general relativity and in the theory of the unification of Fundamental Interactions is presented in this book. The theoretical results, the cosmological and astrophysical aspects, the experimental and observational programs are shown in 26 general talks by renowned scientists active in this field.
The 13th Italian Conference on General Relativity and Gravitational
Physics was held in Cala Corvino-Monopoli (Bari) from September
21to September 25, 1998. The Conference, which is held every other
year in different Italian locations, has brought together, as in
the earlier conferences in this series, those scientists who are
interested and actively work in all aspects of general relativity,
from both the mathematical and the physical points of view: from
classical theories of gravitation to quantum gravity, from
relativistic astrophysics and cosmology to experiments in
gravitation. About 70 participants came from Departments of
Astronomy and Astrophysics, Departments of Mathematics and
Departments of Experimental and Theoretical Physics from all over
the Country; in addition a few Italian scientists working abroad
kindly accepted invitations from the Scientific Committee. The good
wishes of the University and of the Politecnico di Bari were
conveyed by the director of Diparti mento Interuniversitario di
Matematica, Prof. Franco Altomare. These proceedings contain the
contributions of the two winners of the SIGRAV prizes, the invited
talks presented at the Conference and most of the contributed
talks. We thank all of our colleagues, who did their best to
prepare their manuscripts. The pleasant atmosphere induced by the
beauty of the place was greatlyenhanced not only by the
participation of so many colleagues, who had lively discussions
about science well beyond Conference hours, but also by the feeling
of hospitalityextended to the participants by the staff of the Cala
Corvino Hotel, where the Conference was held."
This volume contains the proceedings of a summer school presented
by the Centro Internazionale Matematico Estivo, held at Montecatini
Terme, Italy, in July 1988. This summer programme was devoted to
methods of global differential geometry and algebraic geometry in
field theory, with the main emphasis on istantons, vortices and
other similar structures in gauge theories; Riemann surfaces and
conformal field theories; geometry of supermanifolds and
applications to physics. The papers are mainly surveys and
tutorials.
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