Description

Book Synopsis

This book presents the most common types of instabilities arising in classical field theories, namely tachyonic, Laplacian, ghost-like or strong coupling instabilities, also commenting on their quantum implications. The authors provide a detailed account on the Ostrogradski theorem and its implications for higher-order time-derivative field theories. After presenting the general concepts and formalism, they dive into its applications to particular field theories, using mainly modified gravity theories as examples. The book is intended for advanced undergraduate/graduate students, but can also be useful for researchers, for having a unified exposition of general results on instabilities in field theory and examples of their applications.



Table of Contents

Introduction to instabilities and some relevant examples.- Ostrogradski theorem and ghosts.- Examples of instabilities in gravity theories.- References.- Solutions.

Instabilities in Field Theory: A Primer with Applications in Modified Gravity

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    A Paperback by Adrià Delhom, Alejandro Jiménez Cano, Francisco José Maldonado Torralba

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      Book details

      Publisher Springer International Publishing AG
      Published 17 September 2023
      ISBN-13 9783031404320
      978-3031404320
      ISBN-10 3031404327
      Also in:
      Mathematical / Computational / Theoretical physics Particle and high-energy physics Quantum physics

      Description

      Book Synopsis

      This book presents the most common types of instabilities arising in classical field theories, namely tachyonic, Laplacian, ghost-like or strong coupling instabilities, also commenting on their quantum implications. The authors provide a detailed account on the Ostrogradski theorem and its implications for higher-order time-derivative field theories. After presenting the general concepts and formalism, they dive into its applications to particular field theories, using mainly modified gravity theories as examples. The book is intended for advanced undergraduate/graduate students, but can also be useful for researchers, for having a unified exposition of general results on instabilities in field theory and examples of their applications.



      Table of Contents

      Introduction to instabilities and some relevant examples.- Ostrogradski theorem and ghosts.- Examples of instabilities in gravity theories.- References.- Solutions.

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