G. ’t Hooft

Publications42
h-index12
Citations1,483
Highly Influential Citations81
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A theory of everything?
In his later years, Einstein sought a unified theory that would extend general relativity and provide an alternative to quantum theory. There is now talk of a ‘theory of everything’ (although…
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Computation of the quantum effects due to a four-dimensional pseudoparticle
A detailed quantitative calculation is carried out of the tunneling process described by the Belavin-PolyakovSchwarz-Tyupkin field configuration. A certain chiral symmetry is violated as a…
The Scattering Matrix Approach for the Quantum Black Hole an Overview
If one assumes the validity of conventional quantum field theory in the vicinity of the horizon of a black hole, one does not find a quantum mechanical description of the entire black hole that even…
Renormalizable Lagrangians for Massive Yang-mills Fields
Renormalizable models are constructed in which local gauge invariance is broken spontaneously. Feynman rules and Ward identities can be found by means of a path integral method, and they can be…
Time, the Arrow of Time, and Quantum Mechanics
It is brought forward that viable theories of the physical world that have no variable at all that can play the role of time, do not exist; some notion of time is one of the very first ingredients a…
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Fast Vacuum Fluctuations and the Emergence of Quantum Mechanics
Fast moving classical variables can generate quantum mechanical behavior. We demonstrate how this can happen in a model. The key point is that in classically (ontologically) evolving systems one can…
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The effect of spherical shells of matter on the Schwarzschild black hole
Based on previous work we show how to join two Schwarzschild solutions, possibly with different masses, along null cylinders each representing a spherical shell of infalling or outgoing massless…
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Virtual Black Holes and Space–Time Structure
In the standard formalism of quantum gravity, black holes appear to form statistical distributions of quantum states. Now, however, we can present a theory that yields pure quantum states. It shows…
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Rigorous construction of planar diagram field theories in four dimensional Euclidean space
Asymptotically free quantum field theories with planar Feynman diagrams [such as SU(∞) gauge theory] are considered in 4 dimensional Euclidean space. It is shown that if all particles involved have…
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Quantization of Point Particles in 2+1 Dimensional Gravity and Space-time Discreteness
By investigating the canonical commutation rules for gravitating quantized particles in a 2+1 dimensional world it is found that these particles live on a space-time lattice. The space-time lattice…
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