Abstract
The large-order behavior of perturbation theory for an oscillator with both quartic and sextic anharmonicity is examined. Two approaches are considered: an explicit double expansion in the two coupling constants and a single expansion in the number of loops. A two-variable extension of the Borel resummation technique is developed and applied to the double series, and the standard one-variable resummation technique is applied to the loop expansion. Numerical values for the ground-state energy are calculated in each case and the two procedures are compared.
Original language | English (US) |
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Pages (from-to) | 3754-3767 |
Number of pages | 14 |
Journal | Physical Review D |
Volume | 19 |
Issue number | 12 |
DOIs | |
State | Published - 1979 |