Physics:Quantum fields/symmetry: Difference between revisions
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'''Symmetry''' is a property of a physical system that remains unchanged under certain transformations. In quantum theory, symmetry principles play a central role in determining the behavior of [[Physics:Quantum fields/field|fields]] and the nature of interactions. | '''symmetry''' is a Book II topic in the Quantum Collection. '''Symmetry''' is a property of a physical system that remains unchanged under certain transformations. In quantum theory, symmetry principles play a central role in determining the behavior of [[Physics:Quantum fields/field|fields]] and the nature of interactions. In quantum theory, symmetries are represented by transformations on states and operators. Continuous symmetries are tied to conserved quantities, while local gauge symmetries determine the form of interactions. Symmetry also organizes particle multiplets, selection rules, degeneracies, spontaneous symmetry breaking, and the classification of phases of matter. | ||
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Revision as of 22:59, 23 May 2026
symmetry is a Book II topic in the Quantum Collection. Symmetry is a property of a physical system that remains unchanged under certain transformations. In quantum theory, symmetry principles play a central role in determining the behavior of fields and the nature of interactions. In quantum theory, symmetries are represented by transformations on states and operators. Continuous symmetries are tied to conserved quantities, while local gauge symmetries determine the form of interactions. Symmetry also organizes particle multiplets, selection rules, degeneracies, spontaneous symmetry breaking, and the classification of phases of matter.
Description
Symmetries describe invariances such as rotations, translations, or internal transformations. In modern physics, they are deeply connected to conservation laws and the structure of interactions.
Gauge theories are based on symmetry principles, where requiring invariance under certain transformations leads to the introduction of gauge fields.
Properties
- invariance under transformations
- linked to conservation laws
- determines structure of interactions
See also
Table of contents (217 articles)
Index
Full contents
References
Source attribution: Physics:Quantum fields/symmetry
