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The Algebra of Grand Unified Theories. John Baez and John Huerta. Department of Mathematics. University of California. Riverside, CA 92521 USA. April 28, 2011. Abstract. The Standard Model is the best tested and most widely accepted theory of elementary particles we have today. It may seem complicated and arbitrary,.
A Grand Unified Theory (GUT) is a model in particle physics in which, at high energy, the three gauge interactions of the Standard Model which define the electromagnetic, weak, and strong interactions, or forces, are merged into one single force. This unified interaction is characterized by one larger gauge symmetry and
predictions, while grand unified theories incorporating a low energy left-right symmetric weak interaction subgroup are most likely ruled out. (b) Predictions for baryon number violating processes, such as proton decay or neutron-antineutnon oscillations. The implications of a small value. 3. (100-200 MeV) for the QCD A~.
General References: H. Georgi, Lie Algebras in Particle Physics (Perseus Books; 1999). P. Langacker, Grand Unified Theories And Proton Decay, Phys. Rept. 72, 185 (1981). W. Lucha, Proton Decay In Grand Unified Theories, Fortsch. Phys. 33. A. Masiero, Introduction to Grand Unified Theories, in: Grand Unification With
A review is given on the consistency checks of Grand Unified Theories (GUT), which unify the electroweak and strong nuclear forces into a single theory. Such theories predict a new kind of force, which could provide answers to several open questions in cosmology. The possible role of such a primeval" force will be
I would like to start by thanking my supervisor David Emmanuel-Costa for his help, guidance and support during the time we have worked together, for introducing me to the exciting study of Grand Unification. Theories and for providing me with the opportunity to attend Trieste Summer School on Particle Physics. 2011 which
20 Feb 2015 I'll argue that unified theories of fundamental physics are closely linked with some of the great unifying structures that “grand unified theory of physics and mathematics" and motivates the search for a deeper understanding of the .. An Introduction, www.math.columbia.edu/~woit/QM/qmbook.pdf. 9.
John Baez & John Herta, The Algebra of Grand Unified Theory,. Bull. Amer. Math. Soc., 47, 2010. 1970's: “Grand Unification" of the strong, weak, and electromagnetic forces. GUT's: SU(5), Spin(10), and the Pati-Salam model, around 1974. These theories have their problems. Nonetheless, worthwhile for mathematicians to
The Algebra of Grand Unified Theories. Introduction. There's a loose correspondence between particle physics and representation theory: ? Particles > basis vectors in a representation V of a Lie group G. ? Classification of particles > decomposition into irreps. ? Unification > G ?> H; particles are “unified" into fewer.
14 Jul 2006 GRAND UNIFIED THEORIES. Revised October 2005 by S. Raby (Ohio State University). 15.1. Grand Unification. 15.1.1. Standard Model: An Introduction : In spite of all the successes of the Standard Model [SM], it is unlikely to be the final theory. It leaves many unanswered questions. Why the local gauge
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