Beta function (physics): Difference between revisions

Revision as of 23:27, 24 September 2024

Revision as of 10:14, 25 September 2024

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and, because of the underlying [[renormalization group]], it has no explicit dependence on ''μ'', so it only depends on ''μ'' implicitly through ''g''.

This dependence on the energy scale thus specified is known as the [[Coupling constant#Running coupling|running]] of the coupling parameter, a fundamental

feature of scale-dependence in quantum field theory, and its explicit computation is achievable through a variety of mathematical techniques. The concept of Beta function was Introduced by E[[Ernst Stueckelberg]] and [[André Petermann]] in 1953.<ref>{{cite journal |author1-link=Ernst Stueckelberg |last1=Stueckelberg |first1=E.C. G. Stueckelberg|author2-link=André andPetermann |first2=A. |last2=Petermann at|year=1953 |url=https://www.e-periodica.ch/cntmng?pid=hpa-001:1953:26::894 |title=La renormalisation des constants dans la théorie de quanta |journal=Helv. Phys. Acta |volume=26 |pages=499–520 |language=FR}}</ref>

==Scale invariance==