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In [[quantum field theory]], the '''minimal subtraction scheme''', or '''MS scheme''', is a particular [[renormalization]] scheme used to absorb the infinities that arise in perturbative calculations beyond [[leading-order|leading order]], introduced independently by {{harvtxt|'t Hooft|1973}} and {{harvtxt|Weinberg|1973}}. The MS scheme consists of absorbing only the divergent part of the radiative corrections into the counterterms.
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In the similar and more widely used '''modified minimal subtraction''', or '''MS-bar scheme''' (<math>\overline{\text{MS}}</math>), one absorbs the divergent part plus a universal constant (which always arises along with the divergence in [[Feynman diagram]] calculations) into the counterterms.
 
When using [[dimensional regularization]], i.e. <math> d^4 p \to \mu^{4-d}  d^d p</math>, it is implemented by rescaling the renormalization scale: <math>\mu^2 \to \mu^2 \frac{ e^{\gamma_E} }{4 \pi}</math>, with <math>\gamma_E</math>  the [[Euler–Mascheroni constant]].
 
==References==
*{{cite journal
|first=G.|last='t Hooft |authorlink=Gerard 't Hooft
|year=1973
|title=Dimensional regularization and the renormalization group
|journal=[[Nuclear Physics B]]
|volume=61 |pages=455
|doi=10.1016/0550-3213(73)90376-3
|bibcode = 1973NuPhB..61..455T }}
*{{cite book
|last1=Collins | first1=J.C.
|year=1984
|title=Renormalization
|series=Cambridge Monographs on Mathematical Physics
|publisher=[[Cambridge University Press]]
|isbn=978-0-521-24261-5
|id={{MathSciNet|id=778558}}
}}
*{{cite journal
|last1=Weinberg |first1=S. |author1-link=Steven Weinberg
|year=1973
|title=New Approach to the Renormalization Group
|journal=[[Physical Review D]]
|volume=8 |issue=10 |pages=3497–3509
|doi=10.1103/PhysRevD.8.3497
|bibcode = 1973PhRvD...8.3497W }}
 
{{particle-stub}}
 
[[Category:Quantum field theory]]
[[Category:Renormalization group]]

Revision as of 04:19, 6 February 2014

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