Our prime concern in this book is to discuss some most interesting prosppcts t...Our prime concern in this book is to discuss some most interesting prosppcts that have occurred recently in conformally invariant quantum field theory in a D-diuwnsional space. One of the most promising trends is constructing an pxact solution for a...more
Our prime concern in this book is to discuss some most interesting prosppcts t...Our prime concern in this book is to discuss some most interesting prosppcts that have occurred recently in conformally invariant quantum field theory in a D-diuwnsional space. One of the most promising trends is constructing an pxact solution for a...more
Our prime concern in this book is to discuss some most interesting prosppcts t...Our prime concern in this book is to discuss some most interesting prosppcts that have occurred recently in conformally invariant quantum field theory in a D-diuwnsional space. One of the most promising trends is constructing an pxact solution for a...more
The conformal group is the invariance group of geometry (which is not understo...The conformal group is the invariance group of geometry (which is not understood) the largest one. Physical applications are implied as discussed including reasons for interactions. The group structure as well as those of related groups are...more
This is the first comprehensive presentation of the quantum non-linear sigma-m...This is the first comprehensive presentation of the quantum non-linear sigma-models. The original papers consider in detail geometrical properties and renormalization of a generic non-linear sigma-model illustrated by explicit multi-loop...more
Et moi ... si j avait su comment en revenir One service mathematics has render...Et moi ... si j avait su comment en revenir One service mathematics has rendered the human race. It has put common sense back je n y serais point aile. Jules Verne where it belongs on the topmost shel.f next to the dusty canister labelled discarded...more
The conformal group is the invariance group of geometry (which is not understo...The conformal group is the invariance group of geometry (which is not understood) the largest one. Physical applications are implied as discussed including reasons for interactions. The group structure as well as those of related groups are...more
This is the first comprehensive presentation of the quantum non-linear sigma-m...This is the first comprehensive presentation of the quantum non-linear sigma-models. The original papers consider in detail geometrical properties and renormalization of a generic non-linear sigma-model illustrated by explicit multi-loop...more
Volume 3 of this three-part series presents more advanced topics and applicati...Volume 3 of this three-part series presents more advanced topics and applications of relativistic quantum field theory. The application of quantum chromodynamics to high-energy particle scattering is discussed with concrete examples for how to...more
Ticciati s approach to quantumfieldtheory falls between building a mathemati...Ticciati s approach to quantum field theory falls between building a mathematical model of the subject and presenting the mathematics that physicists actually use. It begins with the need to combine special relativity and quantum mechanics and...more
In recent years there has been tremendous progress at the interface of geometr...In recent years there has been tremendous progress at the interface of geometry and mathematical physics. The chapters in this volume represent current research interests and provide surveys of recent progress without assuming too much prerequisite...more
This is the second updated and extended edition of the successful book on Feyn...This is the second updated and extended edition of the successful book on Feynman-Kac theory. It offers a state-of-the-art mathematical account of functional integration methods in the context of self-adjoint operators and semigroups using the...more
Unlike most elementary books on matrices A Combinatorial Approach to Matrix Th...Unlike most elementary books on matrices A Combinatorial Approach to Matrix Theory and Its Applications employs combinatorial and graph-theoretical tools to develop basic theorems of matrix theory shedding new light on the subject by exploring the...more
1. Interpolation problems play an important role both in theoretical and appli...1. Interpolation problems play an important role both in theoretical and applied investigations. This explains the great number of works dedicated to classical and new interpolation problems ([1)-[5] [8) [13)-[16] [26)-[30] [57]). In this book we...more
Classicalexamples of moreand more oscillatingreal-valued functions on a domain...Classicalexamples of moreand more oscillatingreal-valued functions on a domain N ?of R are the functions u (x)=sin(nx)with x=(x ... x ) or the so-called n 1 1 n n+1 Rademacherfunctionson]0 1[ u (x)=r (x) = sgn(sin(2 x))(seelater3.1.4). n n They may...more