advanced_notions:quantum_field_theory:vacuum_expectation_value

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advanced_notions:quantum_field_theory:vacuum_expectation_value [2017/12/04 08:01] 127.0.0.1 external edit |
advanced_notions:quantum_field_theory:vacuum_expectation_value [2018/04/08 16:15] (current) jakobadmin ↷ Links adapted because of a move operation |
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Vacuum expectation values are important to describe the [[advanced_notions:symmetry_breaking:higgs_mechanism|Higgs mechanism]] and [[advanced_notions:symmetry_breaking|symmetry breaking]] in general. | Vacuum expectation values are important to describe the [[advanced_notions:symmetry_breaking:higgs_mechanism|Higgs mechanism]] and [[advanced_notions:symmetry_breaking|symmetry breaking]] in general. | ||

- | In classical field theory, we are interested in the solutions of the Yang-Mills equations and these correspond to critical points of the [[frameworks:lagrangian_formalism|action]]. | + | In classical field theory, we are interested in the solutions of the Yang-Mills equations and these correspond to critical points of the [[formalisms:lagrangian_formalism|action]]. |

In contrast, in quantum field theory, we use the action to compute "vacuum expectation values" of observables. A vacuum expectation value is the average measured value in the vacuum state. The thing is that many physically interesting quantities can be expressed as vacuum expectation values through various tricks. | In contrast, in quantum field theory, we use the action to compute "vacuum expectation values" of observables. A vacuum expectation value is the average measured value in the vacuum state. The thing is that many physically interesting quantities can be expressed as vacuum expectation values through various tricks. |

advanced_notions/quantum_field_theory/vacuum_expectation_value.txt · Last modified: 2018/04/08 16:15 by jakobadmin

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