We apply Borel resummation to the conventional perturbation series of ground state energy in a metastable potential, V(x) = x2/2 - gx4/4. We observe numerically that the discontinuity of the Borel transform reproduces the imaginary part of the energy eigenvalue, i.e., the total decay width due to quantum tunneling. The agreement with the exact numerical value is remarkable in the whole tunneling regime 0 < g ≲ 0.7.
|Number of pages||5|
|Journal||Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics|
|Publication status||Published - May 15 1997|
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics