corner
corner

Phys. Rev. B 11, 363–376 (1975)

Diagrammatic renormalization-group method

Download: PDF (1,014 kB) Buy this article Export: BibTeX or EndNote (RIS)

Joseph Rudnick*
Department of Physics, Technion-Israel Institute of Technology, Haifa, Israel

Received 7 January 1974; published in the issue dated 1 January 1975

A method is presented for the convergent evaluation of the Feynman diagrams for the free energy of an Ising-type system. The method involves three first-order Wilson-type differential equations whose solution near and at the fixed point yield the critical parameters y and η. The method is discussed only for a system with no long-range order. That is, we consider only the case H=0, T>Tc. The ε expansions for y and η are evaluated to second order, and y and η are found exactly for the spherical model.

© 1975 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.11.363
DOI:
10.1103/PhysRevB.11.363
PACS:

*Present address: Physics Dept., Case Western Reserve University, Cleveland, Ohio 44106.