In this book you will find a very thorough and up-to-date discussion of AQFT and its applications to, among others, quantum field theory in a curved background. Yngvason's Advances in Algebraic Quantum Field Theory (2015) (with the collaboration of our very own V. A must-read indeed!įor more mathematically oriented readers, I cannot help but recommend R. If you want generality and completeness, you really can't do better than this book. Nevertheless, the analysis of divergences is as general as possible, so that the formulation is rather convincing anyway. Therefore, the author anticipates (and finds) UV divergences, as is usual in introductory textbooks. Unfortunately, the non-trivial geometry of the manifold seems to preclude a straightforward implementation of the programme introduced by Epstein and Glaser, so one cannot proceed by a completely rigorous formulation. Uncommonly good collectible and rare books from uncommonly good booksellers. Find Quantum Fields In Curved Space by Birrell, N D Davies, P C W at Biblio. The mathematics are very rigorous (up to physicists standards) and precise. Find Quantum Fields In Curved Space by Birrell, N D Davies. You will also find a (somewhat idiosyncratic but still very informative) discussion of the quantisation of the gravitational field itself. In the book you will find a discussion of essentially every topic of QFT and, in particular, of quantum theories in a curved background (dynamical vacuum and its thermal properties, black-holes, etc.). In this sense, the formulation is as general as possible. This book presents a comprehensive review of the subject of gravitational effects in quantum field theory. Similarly, the fields and their dynamics are also arbitrary: they can be either fermionic or bosonic, have any spin, and be gauge fields (corresponding to an arbitrary algebra, not necessarily closed or irreducible). Furthermore, the spacetime manifold is left arbitrary (both its geometry and its topology).
The author uses functional methods from the outset, so everything is explicitly covariant. In this book you will find the most general and systematic formulation of an arbitrary Quantum Field Theory. For one thing, it was written by one of the founding fathers of the subject. 215 (1992) 203-333.Objectively speaking, the best book on QFT in curved spacetime is DeWitt's The Global Approach to Quantum Field Theory (2003). This apparent violation of the classical chiral symmetry is due to the background axion field. Vidotto arXiv:1101.4049Ī brief, incomplete list of references on perturbations in Loop Quantum Cosmology and Loop Quantum Gravity: We study fermions derivatively coupled to axion-like or pseudoscalar fields, and show that the axial vector current of the fermions is not conserved in the limit where the fermion is massless.
#Birrell and davies quantum fields in curved space full
A collection of references for Carlo's course is here.Įd Wilson-Ewing-Quantum Cosmology Day 6: A brief, incomplete list of references on the connections between Loop Quantum Cosmology and full Loop Quantum Gravity:.Pranzetti arXiv:1611.03668Ĭarlo Rovelli-Covariant Loop Quantum Gravity Papers on the deformed LQG (Euclidean 3D gravity with a negative cosmological constant):ĭay 1: Notes for Day 1 (pdf) Laurent Freidel-Edge Modes, Soft Modes, & Quantum Gravity Day 3: Lecture notes for day 3.ĭay 1: A handful of references chosen from many relevant ones: Quantum Fields in Curved Space (Cambridge Monographs on Mathematical Physics) by Birrell, N. sign of the cosmological constant & signature) Schroers (Chern-Simons for different cases, e.g. Quantum gravity and non-commutative spacetimes in three dimensions: a unified approach, B.
Noui (LQG with zero cosmological constant coupled to Matter - full Quantum group structure)
Noui (links LQG and Chern-Simons for a zero cosmological constant as well as Quantum group as a quantum symmetry of LQG) The Hilbert space of 3d gravity: quantum group symmetries and observables, K.Berkley lectures on Lie groups and Quantum groups (from p.Lie bialgebras, Poisson Lie groups and dressing transformations, Y.Papers on Lie bialgebras, Poisson Lie groups and/or Quantum groups: Majid, Foundations of quantum group theory Chari and Pressley, A Guide to Quantum Groups.Maïté Dupuis-3D Gravity and Quantum Groups Day 6:īooks on Lie bialgebras, Poisson Lie groups and Quantum groups: Ivan Agullo-Quantum Field Theory in Curved Spacetimes Day 1: Texts on Quantum Field Theory in Curved Spacetime: