Description

Book Synopsis
One of the aims of this book is to explain in a basic manner the seemingly difficult issues of mathematical structure using some specific examples as a guide. In each of the cases considered, a comprehensible physical problem is approached, to which the corresponding mathematical scheme is applied, its usefulness being duly demonstrated. The authors try to fill the gap that always exists between the physics of quantum field theories and the mathematical methods best suited for its formulation, which are increasingly demanding on the mathematical ability of the physicist.

Table of Contents
Survey of Path Integral Quantization and Regularization Techniques; Zeta-Function Regularization Method; Generalized Quadratic Spectra and Spectral Functions on Non-Commutative Spaces; Spectral Functions of Laplace Operator on Locally Symmetric Spaces of Rank One; Spinor Field; Spinor Fields and the Index Theorem; Field Fluctuations and Related Variances; The Multiplicative Anomaly; Some Applications of the Multiplicative Anomaly; The Casimir Effect.

Analytic Aspects Of Quantum Fields

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    A Hardback by Andrei A Bytsenko, Guido Cognola, Emilio Elizalde

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      Book details

      Publisher World Scientific Publishing Co Pte Ltd
      Published 17 October 2003
      ISBN-13 9789812383648
      978-9812383648
      ISBN-10 9812383646

      Description

      Book Synopsis
      One of the aims of this book is to explain in a basic manner the seemingly difficult issues of mathematical structure using some specific examples as a guide. In each of the cases considered, a comprehensible physical problem is approached, to which the corresponding mathematical scheme is applied, its usefulness being duly demonstrated. The authors try to fill the gap that always exists between the physics of quantum field theories and the mathematical methods best suited for its formulation, which are increasingly demanding on the mathematical ability of the physicist.

      Table of Contents
      Survey of Path Integral Quantization and Regularization Techniques; Zeta-Function Regularization Method; Generalized Quadratic Spectra and Spectral Functions on Non-Commutative Spaces; Spectral Functions of Laplace Operator on Locally Symmetric Spaces of Rank One; Spinor Field; Spinor Fields and the Index Theorem; Field Fluctuations and Related Variances; The Multiplicative Anomaly; Some Applications of the Multiplicative Anomaly; The Casimir Effect.

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