The Global Approach to Quantum Field Theory

By A. Folacci, B. Jensen. 2003

336 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/3b8a2293ed503cdefe60eb19414aca8e7178c321

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In Astronomy and Astrophysics

Citations in the corpus

Pseudo-Hermitian Representation of Quantum Mechanics (2008, background): “The latter is by definition an observable [75].”
Theoretical uncertainties for cosmological first-order phase transitions (2020, methodology): “where S is the action, α and β run over the fields which fluctuate about the critical bubble, and we are using DeWitt notation [191] for the functional derivatives.”
Do We Really Understand Quantum Mechanics? (2012, background): “At least he knows of no other that imposes no artificial limitations or fuzzy metaphysics while remaining able to serve the varied needs of quantum cosmology, mesoscopic quantum physics, and the looming discipline of quantum computation” (page 144 of [741]).”
Hadamard renormalization of the stress-energy tensor for a quantized scalar field in a general spacetime of arbitrary dimension (2005, background): “By considering the dimensionality D of spacetime as a complex number, the effective action W can be regularized by analytic continuation and its divergent part can be extracted coherently and naturally absorbed into a bare gravitational action [1, 88].”
Vector Diffusion Maps and the Connection Laplacian (2011, neutral): “84] or [11] ‖∂ t (kt(x, y)− k t (x, y))‖l = O(tN−d/2−l/2−k), (8.”
Quantum Einstein gravity (2012, background): “The key idea that led to a solution of all three problems was the use of the background field method [74].”
Introduction to Quantum Fields in Curved Spacetime and the Hawking Effect (2003, background): “This year DeWitt[7] published a comprehensive two volume treatise with a much wider scope but including much material on quantum fields in curved spacetime.”
En route to Background Independence: Broken split-symmetry, and how to restore it with bi-metric average actions (2014, methodology): “[10] This second approach is realized for instance by the Effective Average Action for gravity [11], a scale dependent analogue of the standard effective action.”
Gravitationally Induced Entanglement between Two Massive Particles is Sufficient Evidence of Quantum Effects in Gravity. (2017, methodology): “Some approaches are based on applying a quantisation procedure to the gravitational field, [1], in analogy with the electromagnetic field; some other are based on “geometrizing” quantum physics [2]; while others modify both into a more general theory (e.”
Boundary conditions and dualities: vector fields in AdS/CFT (2006, methodology): “We may compute the corresponding deformation δS = ∂λS FT δλ of the dual field theory action using the AdS/CFT version [38] of the Schwinger variational principle [39, 40, 41] to compute the matrix element of ∂λS FT between two states |ψ1〉, |ψ2〉.”