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Fundamental solutions and Hadamard states for a scalar field with arbitrary boundary conditions on an asymptotically AdS spacetimes
We consider the Klein-Gordon operator on an n -dimensional asymptotically anti-de Sitter spacetime ( M , g ) together with arbitrary boundary conditions...
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Wick Rotation for D-modules
We extend the classical Wick rotation to D-modules and higher codimensional submanifolds.
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Axiomatic Conformal Theory in Dimensions >2 and AdS/CT Correspondence
We formulate axioms of conformal theory (CT) in dimensions >2 modifying Segal’s axioms for two-dimensional CFT. (In the definition of...
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Constructing Hadamard States via an Extended Møller Operator
We consider real scalar field theories, whose dynamics is ruled by normally hyperbolic operators differing only by a smooth potential V . By means of...
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Sheaves and D-Modules on Lorentzian Manifolds
We introduce a class of causal manifolds which contains the globally hyperbolic spacetimes and prove global propagation theorems for sheaves on such...
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The Casimir Effect from the Point of View of Algebraic Quantum Field Theory
We consider a region of Minkowski spacetime bounded either by one or by two parallel, infinitely extended plates orthogonal to a spatial direction...
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The Split Property for Locally Covariant Quantum Field Theories in Curved Spacetime
The split property expresses the way in which local regions of spacetime define subsystems of a quantum field theory. It is known to hold for general...
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QFT Over the Finite Line. Heat Kernel Coefficients, Spectral Zeta Functions and Selfadjoint Extensions
Following the seminal works of Asorey–Ibort–Marmo and Muñoz–Castañeda–Asorey about selfadjoint extensions and quantum fields in bounded domains, we...
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On the Construction of Hartle–Hawking–Israel States Across a Static Bifurcate Killing Horizon
We consider a linear scalar quantum field propagating in a spacetime of dimension d ≥ 2 with a static bifurcate Killing horizon and a wedge...
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“Tunnelling” Black-Hole Radiation with ϕ 3 Self-Interaction: One-Loop Computation for Rindler Killing Horizons
Tunnelling processes through black hole horizons have recently been investigated in the framework of WKB theory discovering interesting interplay...
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Hyperbolic Systems and Propagation on Causal Manifolds
In this paper, which is essentially a survey, we solve the global Cauchy problem on causal manifolds for hyperbolic systems of linear partial...
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Removal of UV Cutoff for the Nelson Model with Variable Coefficients
We consider the Nelson model with variable coefficients. Nelson models with variable coefficients arise when one replaces in the usual Nelson model...
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Quantization of Maxwell’s Equations on Curved Backgrounds and General Local Covariance
We develop a quantization scheme for Maxwell’s equations without source on an arbitrary oriented four-dimensional globally hyperbolic spacetime. The...
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Scalar Tachyons in the de Sitter Universe
We provide a construction of a class of local and de Sitter covariant tachyonic quantum fields which exist for discrete negative values of the...
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Exact Spectrum of Anomalous Dimensions of Planar N = 4 Supersymmetric Yang–Mills Theory: TBA and excited states
Using the thermodynamic Bethe ansatz method we derive an infinite set of integral non-linear equations for the spectrum of states/operators in...
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Further Results on the Smoothability of Cauchy Hypersurfaces and Cauchy Time Functions
Recently, folk questions on the smoothability of Cauchy hypersurfaces and time functions of a globally hyperbolic spacetime M , have been solved. Here...
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Towards a Background Independent Formulation of Perturbative Quantum Gravity
The recent formulation of locally covariant quantum field theory may open the way towards a background independent perturbative formulation of...
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Hartle–Hawking Wave-Function for Flux Compactifications: the Entropic Principle
We argue that the topological string partition function, which has been known to correspond to a wave-function, can be interpreted as an exact...
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A Comment on the Dual Field in the AdS–CFT Correspondence
In the perturbative AdS–CFT correspondence, the dual field whose source are the prescribed boundary values of a bulk field in the functional...