Quantum Fields in Curved Space (Anglais) Broché – 23 février 1984
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'This book is a clear and cogent introduction to a partially charted territory that has already proved remarkably fertile. The cultivation of new ideas should be greatly aided by providing graduate students with this coordinated textbook.' The Times Higher Education Supplement
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In this chapter we shall summarize the essential features of ordinary Minkowski space quantum field theory, with which we assume the reader has working knowledge. Lire la première page
Couverture | Copyright | Table des matières | Extrait | Index | Quatrième de couverture
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Quantum field theory in flat spacetime is difficult enough, and it is still not entirely understood from a mathematical perspective. Even the physics of interacting quantum fields is still poorly understood in flat spacetime, especially in its ability to predict a bound state. Therefore, it might seem a bit disconcerting to some for researchers to add further complications to quantum field theory by casting them in curved backgrounds. However, cosmological and astrophysical interests drives this research, as well as more practical considerations arising from the Casimir effect.
The renormalization procedures in quantum field theory are further complicated in curved spacetime via the "trace" or "conformal" anomalies. The reader gets a good dose of these in the book in the discussion on the renormalization of the stress. The idea of an "effective" action, which has been exploited with zeal in the flat spacetime case, appears here also.
The most important thing to carry away from this book is that the idea of a particle in curved space quantum field theory is not very well-formulated, i.e. particle detectors in such situations are not related to the quantity of matter present in a region as they are in the flat-space case. Doing quantum field theory when gravity is present has instigated a huge amount of research, related to the still unsolved problem of just how to quantize the gravitational field.