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Publications Influence

A theory of everything?

- G. ’t Hooft, L. Susskind, +8 authors R. Penrose
- Physics, Medicine
- Nature
- 20 January 2005

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… Expand

278 24

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… Expand

272 14- PDF

The Scattering Matrix Approach for the Quantum Black Hole an Overview

- G. ’t Hooft
- 1996

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… Expand

114 11

The effect of spherical shells of matter on the Schwarzschild black hole

- T. Dray, G. ’t Hooft
- Physics
- 1 December 1985

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… Expand

86 2

Rigorous construction of planar diagram field theories in four dimensional Euclidean space

- G. ’t Hooft
- 1983

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… Expand

9 2

Canonical quantization of gravitating point particles in 2 + 1 dimensions

- G. ’t Hooft
- 1993

A finite number of gravitating point particles in 2+1 dimensions may close the universe they are in. A formalism previously introduced by the author using tesselated Cauchy surfaces is applied to… Expand

26 1- PDF

Quantization of Point Particles in 2+1 Dimensional Gravity and Space-time Discreteness

- G. ’t Hooft
- 1996

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… Expand

55 1

Relating the Quantum Mechanics of Discrete Systems to Standard Canonical Quantum Mechanics

- G. ’t Hooft
- 2014

Standard canonical quantum mechanics makes much use of operators whose spectra cover the set of real numbers, such as the coordinates of space, or the values of the momenta. Discrete quantum… Expand

7 1

Studies of interfacial regions by sum-frequency generation with a free-electron laser

- E. R. Eliel, E. W. M. Ham, +5 authors P. W. Amersfoort
- Chemistry
- 1995

The use of a Free-Electron Laser (FEL) allows the study of (non)linear optical properties of materials over unsurpassed large spectral intervals. As an example, we report on the use of a FEL as the… Expand

8

Time, the Arrow of Time, and Quantum Mechanics

- G. ’t Hooft
- Front. Phys.
- 2018

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… Expand

5- PDF