scholarly journals Dual gauge theory formulation of planar quasicrystal elasticity and fractons

2021 ◽  
Vol 103 (20) ◽  
Author(s):  
Piotr Surówka
Author(s):  
E. Huguet ◽  
M. Le Delliou ◽  
M. Fontanini

In previous works, questioning the mathematical nature of the connection in the translations gauge theory formulation of Teleparallel Equivalent to General Relativity (TEGR) Theory led us to propose a new formulation using a Cartan connection. In this review, we summarize the presentation of that proposal and discuss it from a gauge theoretic perspective.


AIAA Journal ◽  
2002 ◽  
Vol 40 ◽  
pp. 1867-1875
Author(s):  
J. R. Vinson ◽  
O. T. Thomsen

Author(s):  
John Iliopoulos

All ingredients of the previous chapters are combined in order to build a gauge invariant theory of the interactions among the elementary particles. We start with a unified model of the weak and the electromagnetic interactions. The gauge symmetry is spontaneously broken through the BEH mechanism and we identify the resulting BEH boson. Then we describe the theory known as quantum chromodynamics (QCD), a gauge theory of the strong interactions. We present the property of confinement which explains why the quarks and the gluons cannot be extracted out of the protons and neutrons to form free particles. The last section contains a comparison of the theoretical predictions based on this theory with the experimental results. The agreement between theory and experiment is spectacular.


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