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arXiv · 1711.07347

Observation-based symmetry breaking measures

Ivan Fernandez-Corbaton
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Abstract

Symmetry is one of the most general and useful concepts in physics. A theory or a system that has a symmetry is fundamentally constrained by it. The same constraints do not apply when the symmetry is broken. The quantitative determination of "how much a system breaks a symmetry" allows to reach beyond this binary situation and is a necessary step towards the quantitative connection between symmetry breaking and its effects. We introduce measures of symmetry breaking for a system interacting with external fields (particles). They can be computed from measurements of the system-mediated coupling strengths between subspaces of incoming and outgoing fields (particles) that transform in a definite way under the symmetry. The generality of these symmetry breaking measures and their tight connection to experimental measurements make them applicable to a very wide range of physics, like quantification of phase transitions, constraints in dynamical evolution, and the search for hidden symmetries.

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Ivan Fernandez-Corbaton. 2019-01-22. Observation-based symmetry breaking measures. https://doi.org/10.1088/2399-6528%2Faada25

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