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Published **2010**
by Cambridge University Press in New York .

Written in

**Edition Notes**

Includes bibliographical references and index.

Statement | Edson de Faria, Welington de Melo |

Series | Cambridge studies in advanced mathematics -- 127 |

Contributions | Melo, Welington de |

Classifications | |
---|---|

LC Classifications | QC174.45 .F37 2010 |

The Physical Object | |

Pagination | p. cm. |

ID Numbers | |

Open Library | OL24580125M |

ISBN 10 | 9780521115773 |

LC Control Number | 2010012779 |

Over the last century quantum field theory has made a significant impact on the formulation and solution of mathematical problems and inspired powerful advances in pure mathematics. However, most accounts are written by physicists, and mathematicians struggle to find clear definitions and statements of the concepts involved. Despite its long history and stunning experimental successes, the mathematical foundation of perturbative quantum field theory is still a subject of ongoing research. This book aims at presenting some of the most recent advances in the field, and at reflecting the diversity of approaches and tools invented and currently employed. This graduate-level introduction presents the basic ideas and tools from quantum field theory to a mathematical audience. Topics include classical and quantum mechanics, classical field theory. The papers are organized under three main chapters: Foundations for Quantum Field Theory, Quantization of Field Theories, and Two-Dimensional Quantum Field Theories. An introduction, written by the editors, provides an overview of the main underlying themes that bind together the .

The book concludes with a two-part appendix--Klein Paradox, from electrodynamics following which black-hole analogue. We learn: "The virtual particles of quantum field theory cannot always be reasoned about as if they were real classical particles." (page ).Cited by: The book concludes with a two-part appendix--Klein Paradox, from electrodynamics following which black-hole analogue. We learn: "The virtual particles of quantum field theory cannot always be reasoned about as if they were real classical particles." (page )/5(4). collide, these aspects have to be taken into account. Quantum eld theory (QFT) is supposed to describe these phenomena well, yet its mathematical foundations are shaky or non-existent. The fun-damental objects in quantum eld theory are operator-valued distributions. An operator-valued distribution is an abstract object, which when integrated. While I am not a huge fan of the book, students seem to love Srednicki's Quantum Field Theory. More recently, Schwartz's Quantum Field Theory and the Standard Model is a great book from my inspection and students seem to enjoy it, though I've n.

Buy Mathematical Aspects of Quantum Field Theory (Cambridge Studies in Advanced Mathematics) by Welington de Melo Edson de Faria (ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on eligible : Edson de Faria, Welington de Melo. Mathematics subject classi cation. , 81Qxx, , 34Bxx, 47B25 Abstract. This book provides a self-contained introduction to mathematical methods in quan-tum mechanics (spectral theory) with applications to Schr odinger operators. The rst part cov-. Mathematical Aspects of Quantum Field Theory (Cambridge Studies in Advanced Mathematics Book ) eBook: de Faria, Edson, de Melo, Welington: : Kindle Store/5(3). Aspects of Quantum Field Theory in Curved Spacetime (London Mathematical Society Student Texts Book 17) - Kindle edition by Fulling, Stephen A.. Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Aspects of Quantum Field Theory in Curved Spacetime (London Mathematical Society Student Texts Book /5(2).

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