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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.
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| 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]].
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| ==References==
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| *{{cite journal
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| |first=G.|last='t Hooft |authorlink=Gerard 't Hooft
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| |year=1973
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| |title=Dimensional regularization and the renormalization group
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| |journal=[[Nuclear Physics B]]
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| |volume=61 |pages=455
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| |doi=10.1016/0550-3213(73)90376-3
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| |bibcode = 1973NuPhB..61..455T }}
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| *{{cite book
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| |last1=Collins | first1=J.C.
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| |year=1984
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| |title=Renormalization
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| |series=Cambridge Monographs on Mathematical Physics
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| |publisher=[[Cambridge University Press]]
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| |isbn=978-0-521-24261-5
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| |id={{MathSciNet|id=778558}}
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| }}
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| *{{cite journal
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| |last1=Weinberg |first1=S. |author1-link=Steven Weinberg
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| |year=1973
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| |title=New Approach to the Renormalization Group
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| |journal=[[Physical Review D]]
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| |volume=8 |issue=10 |pages=3497–3509
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| |doi=10.1103/PhysRevD.8.3497
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| |bibcode = 1973PhRvD...8.3497W }}
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| {{particle-stub}}
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| [[Category:Quantum field theory]]
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| [[Category:Renormalization group]]
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