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On the physical implications of gauge invariance

Il Nuovo Cimento A, 1966
Gauge invariance of the equations of motion is analysed along the pattern of Noether's theorem and the physical implications of this invariance property are derived. They are not so strong as usually stated.
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The Lorentz invariance of physical theories

1973
In the previous chapters considerable stress has been laid on the description of physical processes in a Lorentz invariant manner. This result was achieved by the use of the four-vector, whose scalar product with itself or other four-vectors formed a Lorentz invariant quantity.
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Broken scale invariance in particle physics

Physics Reports, 1971
Abstract Recent theoretical efforts to understand how scale invariance is broken are reviewed in this paper. Various formulations of approximate scale invariance are considered, with emphasis on the structure of the energy-momentum tensor and the short distance behaviour of field theory.
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Invariants of Quantum Algebras and Their Applications in Physics

Communications in Theoretical Physics, 1993
We summarize recent results on a functor that maps tangles to commutants of a quasitriangular Hopf algebra. In certain cases, images of -tangles are new Casimir operators of the algebra whose eigenvalues are link invariants. Some applications to physics are briefly discussed.
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About the Emergence of Invariances in Physics: from “Substantial” Conservation to Formal Invariance

2003
The role and place of relativity principles and related symmetries in physics are emphasized. It is proposed to organize part of a formalized epistemology around such invariance principles.
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Physics-informed machine learning

Nature Reviews Physics, 2021
George Em Karniadakis   +2 more
exaly  

CP Invariants in Flavor Physics

Cosmology, Gravitational Waves and Particles, 2017
Dheeraj Shukla   +3 more
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Doping a Mott insulator: Physics of high-temperature superconductivity

Reviews of Modern Physics, 2006
Xiao-gang Wen
exaly  

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