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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    View other formats and editions of Instabilities in Field Theory: A Primer with Applications in Modified Gravity by Adrià Delhom

    Publisher: Springer International Publishing AG
    Publication Date: 17/09/2023
    ISBN13: 9783031404320, 978-3031404320
    ISBN10: 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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