Spectral Methods in Quantum Field Theory

Spectral Methods in Quantum Field Theory pdf epub mobi txt 電子書 下載2025

出版者:
作者:Weigel, H.
出品人:
頁數:182
译者:
出版時間:
價格:$ 84.69
裝幀:
isbn號碼:9783642001383
叢書系列:
圖書標籤:
  • 量子場論
  • 譜方法
  • 數學物理
  • 泛函積分
  • 正則化
  • 重整化
  • 非微擾方法
  • 格點量子場論
  • 高能物理
  • 理論物理
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具體描述

This concise text introduces techniques from quantum mechanics, especially scattering theory, to compute the effects of an external background on a quantum field in general, and on the properties of the quantum vacuum in particular. This approach can be successfully used in an increasingly large number of situations, ranging from the study of solitons in field theory and cosmology to the determination of Casimir forces in nano-technology. The method introduced and applied in this book is shown to give an unambiguous connection to perturbation theory, implementing standard renormalization conditions even for non-perturbative backgrounds. It both gives new theoretical insights, for example illuminating longstanding questions regarding Casimir stresses, and also provides an efficient analytic and numerical tool well suited to practical calculations. Last but not least, it elucidates in a concrete context many of the subtleties of quantum field theory, such as divergences, regularization and renormalization, by connecting them to more familiar results in quantum mechanics. While addressed primarily at young researchers entering the field and nonspecialist researchers with backgrounds in theoretical and mathematical physics, introductory chapters on the theoretical aspects of the method make the book self-contained and thus suitable for advanced graduate students.

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