Difference between revisions of "Loop-induced"

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In [[perturbative quantum field theory]], a '''loop-induced''' effect refers to any mechanism which is induced exclusively by [[loop diagrams]]. If no [[tree-level]] coupling exists in the [[Lagrangian]] between a particular set of fields (for example, the [[Higgs-boson]], which carries no [[colour charge]] and [[gluons]]), and their lowest order correlation functions in perturbation theory are instead mediated through a closed loop of virtual particles (such as the [[top quark]]), this coupling is said to be loop induced. In cases where symmetries of the classical theory are broken for the first time by loop diagrams, these effects are said to generate [[anomalies]] of the quantum theory.
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[[Category:Perturbation theory]]
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[[Category:Quantum field theory]]
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In [[perturbative quantum field theory]], a '''loop-induced''' effect refers to any mechanism which is induced exclusively by [[loop diagrams]]. If no [[Tree level|tree-level]] coupling exists in the [[Lagrangian]] between a particular set of fields (for example, the [[Higgs boson]], which carries no [[colour charge]], and [[Gluon|gluons]]), and their lowest order correlation functions in perturbation theory are instead mediated through a closed loop of [[virtual]] particles (such as the [[top quark]]), this coupling is said to be loop-induced. In cases where symmetries of the classical theory are broken for the first time by loop diagrams, these effects are said to generate [[Anomaly|anomalies]] of the quantum theory.

Latest revision as of 15:57, 6 April 2017

In perturbative quantum field theory, a loop-induced effect refers to any mechanism which is induced exclusively by loop diagrams. If no tree-level coupling exists in the Lagrangian between a particular set of fields (for example, the Higgs boson, which carries no colour charge, and gluons), and their lowest order correlation functions in perturbation theory are instead mediated through a closed loop of virtual particles (such as the top quark), this coupling is said to be loop-induced. In cases where symmetries of the classical theory are broken for the first time by loop diagrams, these effects are said to generate anomalies of the quantum theory.