Abstract
It is proposed that the dimension D be used as a perturbation parameter. The coefficients in the resulting dimensional expansion, a series in powers of D, can be obtained in both quantum-mechanical and field-theoretic models. In this paper the first three terms in the dimensional expansion for the ground-state energy density for a self-interacting field theory are calculated. Dimensional expansions are shown to provide accurate nonperturbative analytic results.
- Received 20 March 1992
DOI:https://doi.org/10.1103/PhysRevLett.68.3674
©1992 American Physical Society