arXiv 2301.016862023-01-04hep-th

弦场论--现代引论

String Field Theory -- A Modern Introduction

Harold Erbin

备注：: This is a preprint of the following textbook: String Field Theory: A Modern Introduction, authored by Dr. Harold Erbin, 2021, Springer reproduced with permission of Springer. The final authenticated version is available online at: https://doi.org/10.1007/978-3-030-65321-7. 318 pages
DOI：: 10.1007/978-3-030-65321-7

摘要：

这本书介绍了弦场论。弦论通常用世界表形式来表述，它描述了一个单一的弦（第一量子化）。虽然这种方法是直观的，并且由于二维理论的特殊性质而可以推广，但对于某些问题来说，它变得很麻烦，甚至在更基本的层面上失败。这些动机导致了SFT的发展，SFT是一种使用场论形式（二次量子化）描述弦论的方法。作为一种场论，SFT为弦论提供了一个严格的、建设性的表述。本书的主要目的是构造闭玻色SFT，并解释如何用它来评价弦论的一致性，重点是为读者提供基础，概念理解和直觉。读完这本书后，他们应该能够从文献中研究应用。这本书分为两部分。第一部分回顾了建立SFT（世界面路径积分，CFT和BRST量化）所必需的世界面理论的主题。第二部分从BRST量化开始介绍SFT的一般概念。然后，它介绍了壳外弦振幅之前，提供了一个费曼图的解释，从SFT的积木提取。在构造了闭SFT后，给出了几个重要的一致性性质的证明，如背景独立性、酉性和交叉对称性。最后讨论了超弦的推广。这本书是从路德维希-马克西米利安大学LMU（冬季学期2017-2018和2018-2019）的课程讲义中成长起来的。目前的文件是施普林格出版的手稿草稿。

英文摘要：

This book provides an introduction to string field theory (SFT). String theory is usually formulated in the worldsheet formalism, which describes a single string (first-quantization). While this approach is intuitive and could be pushed far due to the exceptional properties of two-dimensional theories, it becomes cumbersome for some questions or even fails at a more fundamental level. These motivations have led to the development of SFT, a description of string theory using the field theory formalism (second-quantization). As a field theory, SFT provides a rigorous and constructive formulation of string theory. The main objective is to construct the closed bosonic SFT and to explain how to assess the consistency of string theory with it. The accent is put on providing the reader with the foundations, conceptual understanding and intuition of what SFT is. After reading this book, they should be able to study the applications from the literature. The book is organized in two parts. The first part reviews the topics of the worldsheet theory that are necessary to build SFT (worldsheet path integral, CFT and BRST quantization). The second part starts by introducing general concepts of SFT from the BRST quantization. Then, it introduces off-shell string amplitudes before providing a Feynman diagrams interpretation from which the building blocks of SFT are extracted. After constructing the closed SFT, it is used to outline the proofs of several important consistency properties, such as background independence, unitarity and crossing symmetry. Finally, the generalization to the superstring is also discussed. This book grew up from lecture notes for a course given at the Ludwig-Maximilians-Universität LMU (winter semesters 2017-2018 and 2018-2019). The current document is the draft of the manuscript published by Springer.

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摘要：

英文摘要：

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