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Tadpole (physics)
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{{Short description|Type of Feynman diagram}} In [[quantum field theory]], a '''tadpole''' is a one-loop [[Feynman diagram]] with one external leg, giving a contribution to a one-point [[correlation function (quantum field theory)|correlation function]] (i.e., the field's [[vacuum expectation value]]). One-loop diagrams with a [[propagator]] that connects back to its originating vertex are often also referred as tadpoles. For many massless theories, these graphs vanish in [[dimensional regularization]] (by [[dimensional analysis]] and the absence of any inherent [[energy scale|mass scale]] in the [[loop integral]]). Tadpole corrections are needed if the corresponding external field has a non-zero vacuum expectation value, such as the [[Higgs field]].<ref>{{cite web |last1=Evans |first1=Tim |title='Diagramology' Types of Feynman Diagram |url=https://www.imperial.ac.uk/media/imperial-college/research-centres-and-groups/theoretical-physics/msc/current/qft/handouts/qftdiagramtypes.pdf}}</ref><br /> [[Image:tadpole.png]] Tadpole diagrams were first used in the 1960s. An early example was published by [[Abdus Salam]] in 1961, though he did not take credit for the name.<ref>{{cite journal | author=[[Abdus Salam]] | year=1961 | title=Some Speculations on the New Resonances | journal=[[Reviews of Modern Physics]] | volume=33| issue=3 |pages= 426β430 | doi=10.1103/RevModPhys.33.426| bibcode=1961RvMP...33..426S }}</ref> Physicists [[Sidney Coleman]] and [[Sheldon Glashow]] made an influential use of tadpole diagrams to explain [[Spontaneous symmetry breaking|symmetry breaking]] in the [[strong interaction]] in 1964. <ref>{{cite journal |author=[[Sidney Coleman|S. Coleman]], [[Sheldon Glashow|S. L. Glashow]] |year=1964 |title=Departures from the Eightfold Way: Theory of Strong Interaction Symmetry Breakdown |journal=[[Physical Review]] |volume=134 |issue=3B|pages= B671βB681 |doi=10.1103/PhysRev.134.B671 |bibcode = 1964PhRv..134..671C }}</ref> <ref>{{cite news |last1=Flexi |first1=Mike |title=Quantum Physics |url=https://www.youtube.com/watch?v=O4LCEQxXK08 |access-date=26 July 2022}}</ref> In 1985 Coleman stated (perhaps as a joke) that ''[[Physical Review]]''βs editors rejected the originally proposed name "spermion".<ref>{{Cite arXiv |last=Coleman |first=Sidney |date=2013-02-21 |title=Notes from Sidney Coleman's Physics 253a |class=physics.ed-ph |eprint=1110.5013}}</ref><ref>{{Citation |last1=Lancaster |first1=Tom |title=Statistical field theory |date=2014-04-17 |url=http://dx.doi.org/10.1093/acprof:oso/9780199699322.003.0026 |work=Quantum Field Theory for the Gifted Amateur |pages=190 |publisher=Oxford University Press |isbn=978-0-19-969932-2 |access-date=2022-04-19 |last2=Blundell |first2=Stephen J.|doi=10.1093/acprof:oso/9780199699322.003.0026 |url-access=subscription }}</ref> == References == {{Reflist}} {{DEFAULTSORT:Tadpole (Physics)}} [[Category:Quantum field theory]] {{Quantum-stub}}
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