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- | The [[theories:quantum_theory:quantum_field_theory:qcd_vacuum|QCD vacuum]] can only be understood through topological considerations. In addition, important effects in quantum field theory, like instantons or magnetic monopoles, have a topological origin. | + | The [[advanced_notions:quantum_field_theory:cd_vacuum|QCD vacuum]] can only be understood through topological considerations. In addition, important effects in quantum field theory, like instantons or magnetic monopoles, have a topological origin. |
<tabbox Layman> | <tabbox Layman> | ||
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Donaldson showed was that in four dimensions these two different | Donaldson showed was that in four dimensions these two different | ||
kinds of deformations lead to two completely different classification | kinds of deformations lead to two completely different classification | ||
- | schemes. The fact that he did this using [[quantum_field_theory:gauge_symmetry|gauge theory]] and the solutions to differential equations (parts of mathematics that topologists | + | schemes. The fact that he did this using gauge theory and the solutions to differential equations (parts of mathematics that topologists |
viewed as far from their own) just added to the surprise.** | viewed as far from their own) just added to the surprise.** | ||