Minimal subtraction scheme explained

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, introduced independently by Gerard 't Hooft and Steven Weinberg in 1973.^{[1] [2]} The MS scheme consists of absorbing only the divergent part of the radiative corrections into the counterterms.

In the similar and more widely used modified minimal subtraction, or MS-bar scheme (

}), one absorbs the divergent part plus a universal constant that always arises along with the divergence in Feynman diagram calculations into the counterterms. When using dimensional regularization, i.e. , it is implemented by rescaling the renormalization scale: , with the Euler–Mascheroni constant.

References

1. G.. 't Hooft . Gerard 't Hooft . 1973 . Dimensional regularization and the renormalization group . . 61 . 455–468 . 10.1016/0550-3213(73)90376-3. 1973NuPhB..61..455T .
2. Weinberg . S. . Steven Weinberg . 1973 . New Approach to the Renormalization Group . . 8 . 10 . 3497–3509 . 10.1103/PhysRevD.8.3497. 1973PhRvD...8.3497W .

Other

• Bardeen . W.A. . William A. Bardeen . Buras . A.J. . Andrzej Buras . Duke . D.W. . Muta . T. . 1978 . Deep Inelastic Scattering Beyond the Leading Order in Asymptotically Free Gauge Theories . . 18 . 3998–4017 . 11 . 10.1103/PhysRevD.18.3998. 1978PhRvD..18.3998B .
• Book: Collins . J.C. . 1984 . Renormalization . Cambridge Monographs on Mathematical Physics . . 978-0-521-24261-5 . 778558 .