advanced_notions:quantum_field_theory:instantons
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advanced_notions:quantum_field_theory:instantons [2018/05/05 11:52] jakobadmin ↷ Links adapted because of a move operation |
advanced_notions:quantum_field_theory:instantons [2021/10/01 11:46] (current) 79.35.127.248 the text emphasis wasn't formatting correctly |
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| Lorentz force that the electromagnetic field exerts on the electron. | Lorentz force that the electromagnetic field exerts on the electron. | ||
| But this data is insufficient for passing to the quantum theory of the electron: locally, on a coordinate chart $U$, | But this data is insufficient for passing to the quantum theory of the electron: locally, on a coordinate chart $U$, | ||
| - | what the quantum electron really couples to is the ``\emph{vector potential}'', a differential 1-form | + | what the quantum electron really couples to is the vector potential, a differential 1-form |
| $A_U$ on $U$, such that $d A_U = F|_U$. But globally such a vector potential may not exist. | $A_U$ on $U$, such that $d A_U = F|_U$. But globally such a vector potential may not exist. | ||
| Dirac realized that what it takes to define the quantized electron globally is, | Dirac realized that what it takes to define the quantized electron globally is, | ||
advanced_notions/quantum_field_theory/instantons.txt · Last modified: 2021/10/01 11:46 by 79.35.127.248
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