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| {{Unreferenced stub|auto=yes|date=December 2009}}
| | Hello. Allow me introduce the writer. Her title is Emilia Shroyer but it's not the most female name out there. For a while she's been in South Dakota. For many years he's been working as a meter reader and it's some thing he really enjoy. He is truly fond of doing ceramics but he is struggling to discover time for it.<br><br>My web blog; [https://hcbsales.com/node/3739 https://hcbsales.com/] |
| In [[quantum field theory]], '''wave function renormalization''' is a rescaling, or [[renormalization]], of quantum fields to take into account the effects of interactions. For a noninteracting or [[free field]], the field operator creates or annihilates a single particle with probability 1. Once interactions are included, however, this probability is modified in general to ''Z'' <math>\neq</math> 1. This shows up when one calculates the [[propagator]] beyond [[leading-order|leading order]]; e.g., for a scalar field,
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| :<math>\frac{i}{p^2 - m_0^2 + i \varepsilon} \rightarrow \frac{i Z}{p^2 - m^2 + i \varepsilon}</math>
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| (The shift of the mass from ''m''<sub>0</sub> to m constitutes the [[mass renormalization]].)
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| One possible wave function renormalization, which happens to be scale independent, is to rescale the fields so that the Lehmann weight (''Z'' in the formula above) of their quanta is 1. (It's trickier to define it for unstable particles). For the purposes of studying [[renormalization group flow]]s, if the coefficient of the kinetic term in the action at the scale Λ is ''Z'', then the field is rescaled by <math>\sqrt{Z}</math>. A scale dependent wavefunction renormalization for a field means that that field has an [[anomalous scaling dimension]].
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| ==See also==
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| *[[Renormalization]]
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| {{DEFAULTSORT:Wave Function Renormalization}}
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| [[Category:Quantum field theory]]
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| [[Category:Renormalization group]]
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| {{Quantum-stub}}
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Latest revision as of 13:31, 11 January 2015
Hello. Allow me introduce the writer. Her title is Emilia Shroyer but it's not the most female name out there. For a while she's been in South Dakota. For many years he's been working as a meter reader and it's some thing he really enjoy. He is truly fond of doing ceramics but he is struggling to discover time for it.
My web blog; https://hcbsales.com/