Constructive Comments on QED2 in Curved Spacetime - I (original) (raw)

Schwinger model in curved space-time

Physical Review D, 1983

An exact solution to the Schwinger model in a two-dimensional Schwarzschild space-time is found. The possibility that curvature could cause a confining theory to undergo a phase transition to a nonconfining phase is also discussed.

Refined Algebraic Quantization and Quantum Field Theory in Curved Space-Time

Application of the so-called refined algebraic quantization scheme for constrained systems to the relativistic particle provides an inner product that defines a unique Fock representation for a scalar field in curved space-time. The construction can be made rigorous for a general globally hyperbolic space-time, but the quasifree state so obtained turns out to be unphysical in general. We exhibit a closely related pair of Fock representations that is also defined generically and conforms to the notion of in- and outgoing states in those situations where particle creation by the external field is expected. 1 1 Introduction In the early years of quantum field theory in curved space-time the two most important foundational problems were deemed to be the following: First, how to generalize the notion of vacuum in Minkowski space to space-times with a lesser degree of symmetries, and second, how to get rid of the divergencies that appear in the expectation value of the energy-momentum ten...

Quantum Field Theory on Curved Spacetime and the Standard Cosmological Model

Lecture Notes in Physics, 2015

The aim of this review is to outline a full route from the fundamental principles of algebraic quantum field theory on curved spacetime in its present-day form to explicit phenomenological applications which allow for comparison with experimental data. We give a brief account on the quantization of the free scalar field and its Wick powers in terms of an algebra of functionals on configuration space. Afterwards we demonstrate that there exist states on this algebra in which the energy momentum tensor is qualitatively and quantitatively of the perfect fluid form assumed in the standard model of cosmology up to small corrections. We indicate the potential relevance of one of these corrections for the actively debated phenomenon of Dark Radiation.

1 A ( geometrical ) Hilbert space based quantum gravity model

2020

In the book „The Mathematical Reality, Why Space and Time are an Illusion“, (UnA1), , the concept of „Vision – Mathematization – Simplification“ is proclaimed. The overall „Vision“ is about a simplification of the incompatible SMEP and the cosmology model, by reducing the number of current „constants of nature“, especially regarding the „constant speed of light“ (→ variable speed of light, (UnA)) and the „Planck constant“.

Algebraic Quantum Field Theory in Curved Spacetimes

Mathematical Physics Studies, 2015

This article sets out the framework of algebraic quantum field theory in curved spacetimes, based on the idea of local covariance. In this framework, a quantum field theory is modelled by a functor from a category of spacetimes to a category of (C *)-algebras obeying supplementary conditions. Among other things: (a) the key idea of relative Cauchy evolution is described in detail, and related to the stress-energy tensor; (b) a systematic 'rigidity argument' is used to generalise results from flat to curved spacetimes; (c) a detailed discussion of the issue of selection of physical states is given, linking notions of stability at microscopic, mesoscopic and macroscopic scales; (d) the notion of subtheories and global gauge transformations are formalised; (e) it is shown that the general framework excludes the possibility of there being a single preferred state in each spacetime, if the choice of states is local and covariant. Many of the ideas are illustrated by the example of the free Klein-Gordon theory, which is given a new 'universal definition'.