Along the same lines, and as mentioned in the comments, Wald has dedicated several papers to the matter, so make sure to check them out.įinally, the Wikipedia page on QFT in curved spacetime contains a list of many good references that you should check out too. 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. Quantum Fields In Curved Space Birrell Davies Author: latam.yr. If you want generality and completeness, you really can't do better than this book. Topics: Quantum gravity (58), Quantum field theory in curved spacetime (56), Group field. momentum tensor (see, for example, Birrell I978 Davies I 978). Nevertheless, the analysis of divergences is as general as possible, so that the formulation is rather convincing anyway. A momentum space formulation of curved space-time quantum field theory is presented.
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. The mathematics are very rigorous (up to physicists standards) and precise. Publisher: Cambridge University Press Online publication date: August 2012 Print publication year: 1982 Online ISBN. You will also find a (somewhat idiosyncratic but still very informative) discussion of the quantisation of the gravitational field itself. Birrell, Paul Davies Publisher: Cambridge University Press Pages: 352 Paperback ISBN: 9780521278584. 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.). Check out reviews and get the best price for Quantum Fields in Curved Space by N. In this sense, the formulation is as general as possible. 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. M.: Quantum Field Theory in Curved Spacetime and Black Hole (University Of Chicago Press, Chicago, 1994) Birrell N. For one thing, it was written by one of the founding fathers of the subject.
If the Graviton has zero mass, this corresponds to a single repeating universe, with different morphology.Objectively speaking, the best book on QFT in curved spacetime is DeWitt's The Global Approach to Quantum Field Theory (2003). Through arguments given in the document, the scale factor is also then, non-zero, which also portends to having the graviton not equal to zero if there is a corresponding initial non-linear B field, in the set up of the multiverse cosmology. If there is a multiverse, the graviton mass is non-zero.
This in turn has a relationship to a non-linear B field contribution in early universe cosmology whose consequences are explored and delineated. The number, N, of that supposition is then analyzed in detail. This apparent violation of the classical chiral symmetry is due to the background axion field. In addition, using the arguments of Golgov, as of a 1989 Moriond Astrophysics meeting of that date we ascertain the probability vacuum energy, as re-written as the cosmological constant, could lead to the production of a “baby” universe. 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. Journal of High Energy Physics, Gravitation and Cosmology,ĪBSTRACT: In this document, using a minisuperspace model, in the WdW equation we come up with an evaluation as to an equation which could fit a specialized set of boundary conditions for bounds to early universe vacuum energy. And the Early Universe B Field Connection to Non-Zero Graviton Mass Cambridge University Press, Cambridge.Ĭalculating the Number of Universes in a Multiverse from First Principles with Linkage to Vacuum Energy and a Relationship with Nonlinear Early Universe B Fields. Cambridge Monographs on Mathematical Physics, Cambridge University Press, London. Cambridge Monographs on Mathematical Physics.