<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>ϕ</mml:mi><mml:mn>4</mml:mn></mml:msup></mml:math> theory at seven loops

نویسندگان

چکیده

We give a detailed account of the theory position space renormalization using graphical functions in case dimensionally regularized ${\ensuremath{\phi}}^{4}$ four dimensions. In this we calculate beta function, mass gamma and self-energy to seven loops minimal subtraction scheme. The anomalous dimension $\ensuremath{\gamma}$ is calculated loop order eight. When possible, generalize even dimensions $\ensuremath{\ge}4$ with particular focus on ${\ensuremath{\phi}}^{3}$ six six.

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ژورنال

عنوان ژورنال: Physical review

سال: 2023

ISSN: ['0556-2813', '1538-4497', '1089-490X']

DOI: https://doi.org/10.1103/physrevd.107.036002