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The School on String Theory, Quantum Field Theory and Geometry of Spacetime
Quantum Field Theory and Geometry Geometry of Spacetime
2016/7/19
The School on String Theory, Quantum Field Theory and Geometry of Spacetime will take place at Tsinghua University, Beijing, China, from July 24 to July 28, 2016, the week before Strings 2016. Topics ...
On a Recent Construction of "Vacuum-like" Quantum Field States in Curved Spacetime
"Vacuum-like" Quantum Field States Curved Spacetime Mathematical Physics
2012/6/29
Afshordi, Aslanbeigi and Sorkin have recently proposed a construction of a distinguished "S-J state" for scalar field theory in (bounded regions of) general curved spacetimes. We establish rigorously ...
Anti de Sitter quantum field theory and a new class of hypergeometric identities
hypergeometric identities High Energy Physics - Theory Anti de Sitter quantum field theory
2011/10/9
Abstract: We use Anti-de Sitter quantum field theory to prove a new class of identities between hypergeometric functions related to the K\"all\'en-Lehmann representation of products of two Anti-de Sit...
Constructing a quantum field theory from spacetime
quantum field theory spacetime High Energy Physics - Theory
2011/10/8
Abstract: The paper shows deep connections between exotic smoothings of a small R^4 (the spacetime), the leaf space of codimension-1 foliations (related to noncommutative algebras) and quantization. A...
Quantum Dirac Field on Moyal-Minkowski Spacetime - Illustrating Quantum Field Theory over Lorentzian Spectral Geometry
Quantum Dirac Field Illustrating Quantum Field Theory Lorentzian Spectral Geometry
2011/7/25
Abstract: A sketch of an approach towards Lorentzian spectral geometry (based on joint work with Mario Paschke) is described, together with a general way to define abstractly the quantized Dirac field...
Reconstruction in quantum field theory with a fundamental length
Reconstruction quantum field theory fundamental length
2011/2/21
In this paper, we establish an analog of Wightman’s reconstruction theorem for nonlocal
quantum field theory with a fundamental length. In our setting, the Wightman generalized functions are defined ...
Noncommutative deformations of quantum field theories, locality, and causality
noncommutative quantum field theory Moyal and Wick-Voros star products
2011/3/3
We investigate noncommutative deformations of quantum field theories for different star products, particularly emphasizing the locality properties and the regularity of the deformed fields.
Modal Hamiltonian interpretation of quantum mechanics and Casimir operators: the road towards quantum field theory
Modal Hamiltonian interpretation of quantum mechanics Casimir operators quantum field theory
2011/3/2
The general aim of this paper is to extend the Modal-Hamiltonian interpretation of quantum mechanics to the case of relativistic quantum mechanics with gauge U(1) fields.
Quantum Field Theory, Black Holes and Holography
Quantum Field Theory Black Holes Holography
2010/12/24
These notes are an expanded version of lectures given at the Croatian School on Black Holes at Trpanj, June 21-25, 2010. The aim is to provide a practical introduction to quantum field theory in curv...
On the structure of the S-matrix in general boundary quantum field theory in curved space
the S-matrix quantum field theory
2010/12/23
We use the general boundary formulation (GBF) of quantum field theory to compute the S-matrix for a general interacting scalar field in curved spacetime. This S-matrix is obtained as the asymptotic li...
Noise kernel for a quantum field in Schwarzschild spacetime under the Gaussian approximation
quantum field Schwarzschild spacetime Gaussian approximation
2010/12/20
A method is given to compute the noise kernel, defined as the symmetrized con-nected 2-point function of the stress tensor, for the conformally invariant scalar field in the Hartle-Hawking state in Sc...
Quantum Field Theory, Black Holes and Holography
Quantum Field Theory Black Holes Holography
2010/12/21
These notes are an expanded version of lectures given at the Croatian School on Black Holes at
Trpanj, June 21-25, 2010. The aim is to provide a practical introduction to quantum field theory in curv...
Proof of the Borwein-Broadhurst conjecture for a dilogarithmic integral arising in quantum field theory
the Borwein-Broadhurst conjecture dilogarithmic integral arising quantum field theory
2010/11/8
Borwein and Broadhurst, using experimental-mathematics techniques, in 1998 identified numerous hyperbolic 3-manifolds whose volumes are rationally related to values of various Dirichlet L series $\te...
Riemann-Hilbert Problem and Quantum Field Theory: Integrable Renormalization, Dyson-Schwinger Equations
Riemann-Hilbert Problem Quantum Field Theory
2010/11/19
In the first purpose, we concentrate on the theory of quantum integrable systems underlying the Connes-Kreimer approach. We introduce a new family of Hamiltonian systems depended on the perturbative ...
Topics in Quantum Field Theory in Curved Space
particle production Hamiltonian diagonalization vacuum fluctuations singularity avoidance
2010/12/20
In these lectures we consider some topics of Quantum Field Theory in Curved Space. In the first one particle creation in curved space is studied from a mathematical point of view, especially, particle...