Fermions and Anomalies in Quantum Field Theories
Bonora, Loriano
- 出版商: Springer
- 出版日期: 2024-05-18
- 售價: $4,630
- 貴賓價: 9.5 折 $4,399
- 語言: 英文
- 頁數: 473
- 裝訂: Quality Paper - also called trade paper
- ISBN: 3031219309
- ISBN-13: 9783031219306
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相關分類:
量子 Quantum
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相關主題
商品描述
This book presents a modern view of anomalies in quantum field theories. It is divided into six parts. The first part is preparatory covering an introduction to fermions, a description of the classical symmetries, and a short introduction to conformal symmetry. The second part of the book is devoted to the relation between anomalies and cohomology. The third part deals with perturbative methods to compute gauge, diffeomorphism and trace anomalies. In the fourth part the same anomalies are calculated with non-perturbative heat-kernel-like methods. Part five is devoted to the family's index theorem and its application to chiral anomalies, and to the differential characters and their applications to global anomalies. Part six is devoted to special topics including a complete calculation of trace and diffeomorphism anomalies of a Dirac fermion in a MAT background in two dimensions, Wess-Zumino terms in field theories, sigma models, their local and global anomalies and their cancelation, and finally the analysis of the worldsheet, sigma model, and target space anomalies of string and superstring theories.
The book is targeted to researchers and graduate students.
商品描述(中文翻譯)
這本書介紹了量子場論中的異常現象的現代觀點。它分為六個部分。第一部分是準備工作,包括對費米子的介紹,對經典對稱性的描述,以及對共形對稱性的簡要介紹。書的第二部分專門討論異常和上同調之間的關係。第三部分介紹了計算規範、微分同胚和追蹤異常的摄動方法。在第四部分中,使用非摄動熱核方法計算相同的異常。第五部分專門討論家族指數定理及其在手性異常中的應用,以及微分特徵和其在全局異常中的應用。第六部分專門討論一些特殊主題,包括在二維MAT背景中計算Dirac費米子的追蹤和微分同胚異常,場論中的Wess-Zumino項,sigma模型及其局部和全局異常以及它們的抵消,最後分析弦論和超弦論的世界面、sigma模型和目標空間異常。
這本書的目標讀者是研究人員和研究生。
作者簡介
Loriano Bonora has been Professor of Field Theory at the International School for Advanced Studies (SISSA), Trieste, Italy.
作者簡介(中文翻譯)
Loriano Bonora是義大利的國際高等研究學院(SISSA)的場論教授。