This volume presents a selection of current developments in quantum chromodynamics, with some emphasis on the borderline between the perturbative and the nonperturbative regime.
The quark confinement mechanism is one of the most difficult problems in particle physics, and is listed as the 7 difficult mathematical problems of the new millennium.
The foundations of quantum mechanics has acquired tremendous importance in recent years for three reasons: First, a large number of experiments have tested concepts which previously were purely theoretical.
This is the first detailed account of a new approach to microphysics based on two leading ideas: (i) the explicit dependence of physical laws on scale encountered in quantum physics, is the manifestation of a fundamental principle of nature, scale relativity.
Quantum stochastic calculus has become an indispensable tool in modern quantum physics, its effectiveness being illustrated by recent developments in quantum control which place the calculus at the heart of the theory.
This book incorporates 3 modern aspects of mathematical physics: the jet methods in differential geometry, Lagrangian formalism on jet manifolds and the multimomentum approach to Hamiltonian formalism.
In this revised and expanded edition, in addition to a comprehensible introduction to the theoretical foundations of quantum tunneling based on different methods of formulating and solving tunneling problems, different semiclassical approximations for multidimensional systems are presented.
The authors examine several topical subjects, commencing with a general introduction to path integrals in quantum mechanics and the group theoretical backgrounds for path integrals.
The interpretation of quantum mechanics in this book is distinguished from other existing interpretations in that it is systematically derived from empirical facts by means of logical considerations as well as methods in the spirit of analytical philosophy, in particular operational semantics.
This book provides a readable account of the foundations of QFT, in particular of the Euclidean formulation with emphasis on the interplay between physical requirements and mathematical structures.
This book contains an edited comprehensive collection of reprints on the subject of the large N limit as applied to a wide spectrum of problems in quantum field theory and statistical mechanics.
Compiled to illustrate the recent history of Quantum Field Theory and its trends, this collection of selected reprints by Jurg Frohlich, a leading theoretician in the field, is a comprehensive guide of the more mathematical aspects of the subject.
This book is a survey of methods used in the study of two-dimensional models in quantum field theory as well as applications of these theories in physics.
The interest in membranes and higher dimensional extended geometrical objects was inspired by the great successes of the string and superstring, first in 1968-73 as a theory of hadrons and then since 1984 as a "e;theory of everything"e; - a unified theory of all interactions, including quantum gravity.
This book is intended as a tutorial approach to some of the techniques used to deal with quantum dissipation and irreversibility, with special focus on their applications to the theory of measurements.
New Edition: Field Theory (3rd Edition)Traditionally, field theory is taught through canonical quantization with a heavy emphasis on high energy physics.
The main theme of the book is the intimate connection between the two families of exactly solvable models: the inverse-square exchange (ISE) and the nearest-neighbor exchange (NNE) models.
Quantum groups are a generalization of the classical Lie groups and Lie algebras and provide a natural extension of the concept of symmetry fundamental to physics.
In this second edition, the following recent papers have been added: "e;Gauss Codes, Quantum Groups and Ribbon Hopf Algebras"e;, "e;Spin Networks, Topology and Discrete Physics"e;, "e;Link Polynomials and a Graphical Calculus"e; and "e;Knots Tangles and Electrical Networks"e;.
In this volume, topics are drawn from field theory, especially gauge field theory, as applied to particle, condensed matter and gravitational physics, and concern a variety of interesting subjects.
Geometrical notions and methods play an important role in both classical and quantum field theory, and a connection is a deep structure which apparently underlies the gauge-theoretical models in field theory and mechanics.
In the framework of the geometric formulation of field theory, classical fields are represented by sections of fibred manifolds, and their dynamics is phrased in jet manifold terms.
Quantum Probability and Related Topics is a series of volumes whose goal is to provide a picture of the state of the art in this rapidly growing field where classical probability, quantum physics and functional analysis merge together in an original synthesis which, for 20 years, has been enriching these three areas with new ideas, techniques and results.