著者

Swanson Mark S. Huang Justin C. Physics Department University of Missouri Physics Department National Central University

出版者

Published for the Research Institute for Fundamental Physics by Physical Society of Japan

雑誌

Progress of Theoretical Physics (ISSN:0033068X)

巻号頁・発行日

vol.58, no.1, pp.p113-127, 1977-07

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We demonstrate that the finite temperature effective potential methods used in φ^4 field theory to study the symmetry behavior can be successfully applied to magnon fields. The Heisenberg Hamiltonian is converted into field theoretical form by the use of the Holstein-Primakoff transformations and continuum limit methods. Diagrammatic procedures are utilized to calculate the effective potential to the two-loop approximation. The critical temperature is determined by locating the point where the symmetry is restored. In constrast with φ^4 theory, the gauge symmetry is broken above the critical point and is restored below the critical point. Both high and low temperature approximations are utilized.