دانلود کتاب عملگرهای دیراک با ابعاد نامحدود و میدان های کوانتومی فوق متقارن

This book originates from my work on infinite-dimensional analysis in relation to mathematical studies of supersymmetric quantum field theory, which started in 1984 and still continues. During the course of the research, I discovered an intrinsic mathematical structure that some models in supersymmetric quantum field theory have in common. It may be characterized as the theory of infinite-dimensional Dirac operators on the abstract boson–fermion Fock space, the tensor product Hilbert space of the abstract boson Fock space and the abstract fermion Fock space. I consider it one of the most important results in this research and to be developed further. The present book is written as an introduction to analysis of the abstract boson– fermion Fock space with applications to mathematical supersymmetric quantum field theory, which forms an interesting field of infinite-dimensional analysis. The emphasis is put on the theory of infinite-dimensional Dirac operators as suggested above. Since infinite-dimensional Dirac operators may have relations to infinitedimensional geometry, the book may be read also from that viewpoint.