An exact renormalization equation is derived by making an infinitesimal change in the cutoff in momentum space. From this equation the expansion for critical exponents around dimensionality 4 and the limit $n=\ensuremath{\infty}$ of the $n$ -vector model are calculated. We obtain agreement with the results of Wilson and Fisher, and with the spherical model.An exact renormalization equation is derived by making an infinitesimal change in the cutoff in momentum space. From this equation the expansion for critical exponents around dimensionality 4 and the limit $n=\ensuremath{\infty}$ of the $n$-vector model are calculated. We obtain agreement with the results of Wilson and Fisher, and with the spherical model.

Physical Review AJul 1, 1973729 citations

Critical Phenomena and the Renormalization Group

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n

-vector model are calculated. We obtain agreement with the results of Wilson and Fisher, and with the spherical model.