*Michele Maggiore*

- Published in print:
- 2007
- Published Online:
- January 2008
- ISBN:
- 9780198570745
- eISBN:
- 9780191717666
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198570745.001.0001
- Subject:
- Physics, Particle Physics / Astrophysics / Cosmology

This book deals with all aspects of gravitational-wave physics, both theoretical and experimental. This first volume deals with gravitational wave (GW) theory and experiments. Part I discusses the ...
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This book deals with all aspects of gravitational-wave physics, both theoretical and experimental. This first volume deals with gravitational wave (GW) theory and experiments. Part I discusses the theory of GWs, re-deriving afresh and in a coherent way all the results presented. Both the geometrical and the field-theoretical approach to general relativity are discussed. The generation of GWs is discussed first in linearized theory (including the general multipole expansion) and then within the post-Newtonian formalism. Many important calculations (inspiral of compact binaries, GW emission by rotating or precessing bodies, infall into black holes, etc.) are presented. The observation of GWs emission from the change in the orbital period of binary pulsar, such as the Hulse-Taylor pulsar and the double pulsar, is also explained, and the pulsar timing formula is derived. Part II discusses the principles of GW experiments, going into the detail of the functioning of both interferometers and resonant-mass detectors. One chapter is devoted to the data analysis techniques relevant for GW experiments.Less

This book deals with all aspects of gravitational-wave physics, both theoretical and experimental. This first volume deals with gravitational wave (GW) theory and experiments. Part I discusses the theory of GWs, re-deriving afresh and in a coherent way all the results presented. Both the geometrical and the field-theoretical approach to general relativity are discussed. The generation of GWs is discussed first in linearized theory (including the general multipole expansion) and then within the post-Newtonian formalism. Many important calculations (inspiral of compact binaries, GW emission by rotating or precessing bodies, infall into black holes, etc.) are presented. The observation of GWs emission from the change in the orbital period of binary pulsar, such as the Hulse-Taylor pulsar and the double pulsar, is also explained, and the pulsar timing formula is derived. Part II discusses the principles of GW experiments, going into the detail of the functioning of both interferometers and resonant-mass detectors. One chapter is devoted to the data analysis techniques relevant for GW experiments.

*Laurent Baulieu, John Iliopoulos, and Roland Sénéor*

- Published in print:
- 2017
- Published Online:
- May 2017
- ISBN:
- 9780198788393
- eISBN:
- 9780191830310
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198788393.001.0001
- Subject:
- Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

Quantum field theory has become the universal language of most modern theoretical physics. This book is meant to provide an introduction to this subject with particular emphasis on the physics of the ...
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Quantum field theory has become the universal language of most modern theoretical physics. This book is meant to provide an introduction to this subject with particular emphasis on the physics of the fundamental interactions and elementary particles. It is addressed to advanced undergraduate, or beginning graduate, students, who have majored in physics or mathematics. The ambition is to show how these two disciplines, through their mutual interactions over the past hundred years, have enriched themselves and have both shaped our understanding of the fundamental laws of nature. The subject of this book, the transition from a classical field theory to the corresponding Quantum Field Theory through the use of Feynman’s functional integral, perfectly exemplifies this connection. It is shown how some fundamental physical principles, such as relativistic invariance, locality of the interactions, causality and positivity of the energy, form the basic elements of a modern physical theory. The standard theory of the fundamental forces is a perfect example of this connection. Based on some abstract concepts, such as group theory, gauge symmetries, and differential geometry, it provides for a detailed model whose agreement with experiment has been spectacular. The book starts with a brief description of the field theory axioms and explains the principles of gauge invariance and spontaneous symmetry breaking. It develops the techniques of perturbation theory and renormalisation with some specific examples. The last Chapters contain a presentation of the standard model and its experimental successes, as well as the attempts to go beyond with a discussion of grand unified theories and supersymmetry.Less

Quantum field theory has become the universal language of most modern theoretical physics. This book is meant to provide an introduction to this subject with particular emphasis on the physics of the fundamental interactions and elementary particles. It is addressed to advanced undergraduate, or beginning graduate, students, who have majored in physics or mathematics. The ambition is to show how these two disciplines, through their mutual interactions over the past hundred years, have enriched themselves and have both shaped our understanding of the fundamental laws of nature. The subject of this book, the transition from a classical field theory to the corresponding Quantum Field Theory through the use of Feynman’s functional integral, perfectly exemplifies this connection. It is shown how some fundamental physical principles, such as relativistic invariance, locality of the interactions, causality and positivity of the energy, form the basic elements of a modern physical theory. The standard theory of the fundamental forces is a perfect example of this connection. Based on some abstract concepts, such as group theory, gauge symmetries, and differential geometry, it provides for a detailed model whose agreement with experiment has been spectacular. The book starts with a brief description of the field theory axioms and explains the principles of gauge invariance and spontaneous symmetry breaking. It develops the techniques of perturbation theory and renormalisation with some specific examples. The last Chapters contain a presentation of the standard model and its experimental successes, as well as the attempts to go beyond with a discussion of grand unified theories and supersymmetry.

*James Owen Weatherall*

- Published in print:
- 2017
- Published Online:
- January 2018
- ISBN:
- 9780198748991
- eISBN:
- 9780191811593
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198748991.003.0013
- Subject:
- Philosophy, History of Philosophy

I review some recent work on applications of category theory to questions concerning theoretical structure and theoretical equivalence of classical field theories, including Newtonian gravitation, ...
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I review some recent work on applications of category theory to questions concerning theoretical structure and theoretical equivalence of classical field theories, including Newtonian gravitation, general relativity, and Yang–Mills theories. In particular, the chapter explains how the Baez–Bartel–Dolan framework for classifying forgetful functors provides a precise way of saying when one formulation of a physical theory posits more or less structure than another, and also when two theories posit equivalent amounts of structure.Less

I review some recent work on applications of category theory to questions concerning theoretical structure and theoretical equivalence of classical field theories, including Newtonian gravitation, general relativity, and Yang–Mills theories. In particular, the chapter explains how the Baez–Bartel–Dolan framework for classifying forgetful functors provides a precise way of saying when one formulation of a physical theory posits more or less structure than another, and also when two theories posit equivalent amounts of structure.