Black hole explosions? Nature, 248: 379–423. Path-integral derivation of black-hole radiance. Lectures on Cauchy's problem in linear partial differential equations. Inflationary universe: A possible solution to the horizon and flatness problems. Universal correction to the inflationary vacuum. Brian R Greene, Maulik K Parikh, and Jan Pieter van der Schaar. Cosmological event horizons, thermodynamics, and particle creation. Cambridge University Press, New York, 2012. Hadamard renormalization of the stress-energy tensor for a quantized scalar field in a general spacetime of arbitrary dimension. Conformal vacuum and the fluctuation-dissipation theorem in a de Sitter universe and black hole spacetimes. Ashmita Das, Surojit Dalui, Chandramouli Chowdhury, and Bibhas Ranjan Majhi. Journal of Statistical Mechanics: Theory and Experiment, 2004 (04): P04005, apr 2004. Time-dependent density-matrix renormalization-group using adaptive effective Hilbert spaces. A J Daley, C Kollath, U Schollwöck, and G Vidal. Regularization, renormalization, and covariant geodesic point separation. Vacuum expectation value of the stress tensor in an arbitrary curved background: The covariant point-separation method. Quantum theory of scalar fields in de Sitter space-time. Spacetime and geometry: An introduction to general relativity. Proceedings of the Royal Society of London. Covariant point-splitting regularization for a scalar quantum field in a Robertson-Walker Universe with spatial curvature. #Birrell and davies quantum fields in curved space freeHamiltonian simulation of free lattice fermions in curved spacetime. Cambridge University Press, Cambridge, 1982. Numerical Relativity: Solving Einstein's Equations on the Computer. Strong-coupling calculations of lattice gauge theories: (1 + 1)-dimensional exercises. Republication of: The dynamics of general relativity. Richard Arnowitt, Stanley Deser, and Charles W. Renormalised fermion vacuum expectation values on anti-de Sitter space–time. Introduction to 3+1 Numerical Relativity. Cosmology for grand unified theories with radiatively induced symmetry breaking. Radiation damping in a gravitational field. #Birrell and davies quantum fields in curved space seriesAlthough here we address a non-interacting QFT using free fermion techniques, the framework described in this paper lays the groundwork for a series of subsequent studies involving simulation of interacting QFTs in curved spacetime by tensor network techniques. #Birrell and davies quantum fields in curved space how toAs illustrative applications, we show how to recover the Unruh effect in flat spacetime and how to compute renormalized expectation values in the Hawking-Hartle vacuum of a Schwarzschild black hole and in the Bunch-Davies vacuum of an expanding universe described by de Sitter spacetime. Finally, we use so-called point-splitting regularization and Hadamard renormalization to remove divergences, and thus obtain finite, renormalized expectation values of quadratic operators in the continuum. Numerically-computed lattice correlators are then used to approximate, through extrapolation, those in the continuum. First, we use a staggered-fermion discretization to generate a sequence of lattice theories yielding the desired QFT in the continuum limit. We numerically compute renormalized expectation values of quadratic operators in a quantum field theory (QFT) of free Dirac fermions in curved two-dimensional (Lorentzian) spacetime.
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