Abstract
The structure of the effective potential for lattice theory is discussed. It is shown that the effective potential is undefined in an infinite lattice system for certain values of if spontaneous symmetry breaking occurs. It is also shown that for all , thus precluding the familiar "double-well" shape suggested by the classical potential. These results do not depend on the spacetime dimensionality of the lattice or upon the particulars of any loop expansion. A graphical approximation procedure for the effective potential is formulated and compares very favorably with Monte Carlo results. Comparisons with strong-coupling-expansion predictions are also made.
- Received 24 May 1982
DOI:https://doi.org/10.1103/PhysRevD.27.406
©1983 American Physical Society