advanced_tools:group_theory:representation_theory:dean_proffesor_reza_sanaye
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advanced_tools:group_theory:representation_theory:dean_proffesor_reza_sanaye [2022/07/03 20:08] edi [Intuitive] |
advanced_tools:group_theory:representation_theory:dean_proffesor_reza_sanaye [2023/02/20 18:45] edi [Intuitive] |
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| - | The trivial representation maps all group elements to the identity transformation. This representation exists for any group. | + | The trivial representation maps all group elements to the identity matrix. This representation exists for any group. |
| - | Spin-$0$ particles/fields transform under the trivial representation of $SU(2)$. That is, their spin value does no depend on orientation in space. | + | Spin-$0$ particles and fields transform under the trivial representation of $SU(2)$. That is, their spin value does not change when being rotated. |
| - | The action (and often the Lagrangian) transforms under the trivial representation of space-time and gauge symmetry groups. That is, the action does not depend on these symmetry transformations. | + | The action (and often the Lagrangian) transforms under the trivial representation of space-time and gauge symmetry groups. That is, the action is not affected by these symmetry transformations. |
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advanced_tools/group_theory/representation_theory/dean_proffesor_reza_sanaye.txt ยท Last modified: 2023/03/19 21:45 by edi
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