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Renormalization Group Equation for Critical Phenomena

1973; American Institute of Physics; Volume: 8; Issue: 1 Linguagem: Inglês

10.1103/physreva.8.401

0556-2791

Franz Wegner, Anthony Houghton,

Quantum chaos and dynamical systems

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.