![]() The main problem is that QM admits non-local effects (albiet non-causal ones), while GR does not. You could imagine something similar using the EPR experiment, or the like. Is the field a superposition of a mass distribution in both locations? What happens after the wavefucntion is collapsed? Does the metric change non-continuously? How do you resolve the singularity? For instance, imagine an experiment where a single (very massive) particle is sent through a slit, and after some time, will have a wavefunction whose location is two disjoint regions of space. Finally, there is just an inherent technical issue here, where we can pretty easily violate causality by combining QM effects with GR.Even if we were to relax the previous requirement, we still need a timelike killing vector at infinity in order to define positive and negative frequency states, which is necessary if we are going to normal order our fock space (in non-technical language, consistently define the energy of the vacuum and what states are "particles" and which are "antiparticles").If we're going to rely upon intuition from QFT in Minkowski space, we need a region where the spacetime is flat to compute these states. In particular, QFT formalism is heavily dependent on "in" and "out" states. In particular, QFT in a curved spacetime is only well-defined for a special class of background metric. In practical cases, people usually only consider a small number of orders of this backreaction. It's unclear whether this series of successive approximations even will converge to a stable solution. This, obviously, will affect the background metric, which requires that you recalculate the metric, which then requires that you recalculate the field, etc. This invariably causes the field to bend and behave differently. You treat the quantum field as if the background metric was an exact solution to GR. Aspects of Quantum Field Theory in Curved Spacetime Aspects of Quantum Field Theory in Curved Spacetime Search within full text Get access Cited by 421 Stephen A. First, it is inherently not an exact solution to anything.As an exact solution, it is somewhat unsatisfactory for these reasons: ![]() You can calculate effects using it, most notably, the existence of Hawking radiation. Properties of quantum field theory in causality violating spacetimes.This formalism exists, and is called semiclassical gravity. With this principle and for a particular model for expanding universe - spatially flat Robertson-Walker metric - an adequate particle model is obtained. ![]() Some version of the ``averaged null energy condition'', and the formulation and In this work, we develop the quantum field theory formalism in the curved space-time for the case of massive vector field, using the Quantum Equivalence Principle previously introduced. A brief discussionĪlso is given of several open issues and questions in quantum field theory inĬurved spacetime regarding the treatment of ``back-reaction", the validity of The perspective of the theoretical framework adopted here. We briefly review the Unruh and Hawking effects from Vacuum state in Minkowski spacetime, and that the expected stress-energy tensor Quantum Field Theory in Curved Space-Time (2021-22) Home Courses Archive Year 2021-22 Graduate Mathematical and Theoretical Physics Trinity Quantum. Insures that the ultra-violet behavior of the state be similar to that of the Requirement that their two-point function satisfy the Hadamard condition, which The physically nonsingular states are restricted by the Is accomplished via the algebraic approach, which, in essence, simultaneouslyĪdmits all states in all possible (unitarily inequivalent) Hilbert spaceĬonstructions. Linear field propagating in a globally hyperbolic spacetime. which will be held in person from to at the Institute of Astrophysics of Andalusia (IAA) in Granada, Spain. Wald Download PDF Abstract: We review the mathematically rigorous formulation of the quantum theory of a Quantum Field Theory in Curved Spacetime. Download a PDF of the paper titled Quantum Field Theory in Curved Spacetime, by Robert M.
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