Titlebook: Operators, Geometry and Quanta; Methods of Spectral Dmitri Fursaev,Dmitri Vassilevich Book 2011 Springer Science+Business Media B.V. 2011

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Dmitri Fursaev,Dmitri Vassilevichustralasia), the financial businesses have been drawn to the other two points of the world financial triangle that comprises Tokyo, New York and London. The Japanese manufacturing companies have been attracted overseas by cheap labour, the chance to overcome tariff barriers, and the existence of lar

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ustralasia), the financial businesses have been drawn to the other two points of the world financial triangle that comprises Tokyo, New York and London. The Japanese manufacturing companies have been attracted overseas by cheap labour, the chance to overcome tariff barriers, and the existence of lar

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Book 2011mmutativity). This book addresses advanced graduate students and researchers in mathematical physics with basic knowledge of quantum field theory and differential geometry. The aim is to prepare readers to use spectral functions in their own research, in particular in relation to heat kernels and zeta functions.

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Geometrical Backgroundsion of field models starts with a brief introduction to fiber bundles and the structure groups including basic features of the spin group. Properties of the modern elementary particle physics are exposed by using models of dynamical scalar, spinor, massive vector, and gauge fields propagating in cl

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Spectral Functionsctions associated to transformations of so called chiral operators. This material later serves as a basis for calculations of quantum anomalies. The index theorem, which is elaborated in many monographs, here is explained rather briefly to express a merit of the Atiyah-Singer theory and set some def

Demonstrate

Effective Action-Weinberg) potential and beta functions in gauge theories. The material also includes the following topics: relation between the Euclidean effective action and partition functions, complex geometries, renormalization theory, properties of the effective action of gauge fields, Faddeev-Popov ghosts, a

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Book 2011eld theory. All methods are illustrated with applications to specific physical problems from the forefront of current research, such as finite-temperature field theory, D-branes, quantum solitons and noncommutativity. In the first part of the book, necessary background information on differential ge