Field Theory, Disorder And Simulations
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-0964-3 (ISBN)
This volume is a collection of lectures and selected papers by Giorgio Parisi on the subjects of Field Theory (perturbative expansions, nonperturbative phenomena and phase transitions), Disordered Systems (mainly spin glasses) and Computer Simulations (lattice gauge theories).The basic problems discussed in the Field Theory section concern the interplay between perturbation theory and nonperturbative phenomena which are present when one deals with infrared or ultraviolet divergences or with nonconvergent perturbative expansions. The section on Disordered Systems contains a complete discussion about the replica method and its probabilistic interpretation, and also includes a short paper on multifractals. In the Simulations section, there is a series of lectures devoted to the study of quantum chromodynamics and a review paper on simulations in complex systems.The works of Giorgio Parisi have repeatedly displayed a remarkable depth of originality and innovation, and have paved the way for new research in many areas. This personal selection of his lectures and papers, complete with an original introduction by him, undoubtedly serves as a vital reference book for physicists and mathematicians working in these fields.
Part 1 Field theory: field theoretical approach to second-order phase transitions in two- and three-dimensional systems; an introduction to scaling violations; on non renormalizable interactions; the physical basis of the asymptotic estimates in perturbation theory; the Borel transform and the renormalization group; singularities of the Borel transform in Gauge theories; on infrared divergences; critical exponents and large-order behaviour of perturbation theory; quartic oscillator. Part 2 Disordered systems: an introduction to the statistical mechanics of amorphous systems; supersymmetric field theory and stochastic differential equations; spin glasses and optimization problems without replicas; spin glass theory; on the emergences of tree-like structures in complex systems; on the multifractal nature of fully developed turbulence and chaotic systems. Part 3 Simulations: recent progresses in gauge theories; the strategy for computing the hadronic mass spectrum; prolegomena to any future computer evaluation of the QCD mass spectrum; a short introduction to numerical simulations of lattice gauge theories; the APE computer and first physics results; principles of numerical simulations.
| Erscheint lt. Verlag | 1.3.1993 |
|---|---|
| Reihe/Serie | World Scientific Lecture Notes In Physics ; 49 |
| Verlagsort | Singapore |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| Naturwissenschaften ► Physik / Astronomie ► Festkörperphysik | |
| ISBN-10 | 981-02-0964-9 / 9810209649 |
| ISBN-13 | 978-981-02-0964-3 / 9789810209643 |
| Zustand | Neuware |
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