Transseries for the ground state density and generalized Bloch equation: Double-well potential case
Based on the generalized Bloch equation, the transseries expansion for the phase (exponent) of the ground state density for double-well potential is constructed. It is shown that the leading and next-to-leading terms in semiclassical expansion are still defined by the flucton trajectory (its classical action) and quadratic fluctuations (the determinant), respectively, while the next-to-next-to-leading term (at large distances) is of nonperturbative nature. It comes from the fact that all flucton classical trajectories modified by multi-instanton, instanton–anti-instanton additions lead to the same classical action behavior at large distances. This correction is proportional to sum of all leading instanton contributions to energy gap.
- Research Organization:
- Stony Brook Univ., NY (United States); State Univ. of New York (SUNY), Albany, NY (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC)
- Grant/Contract Number:
- FG02-88ER40388
- OSTI ID:
- 1482424
- Alternate ID(s):
- OSTI ID: 1610122
- Journal Information:
- Physical Review. D., Journal Name: Physical Review. D. Vol. 98 Journal Issue: 10; ISSN 2470-0010
- Publisher:
- American Physical Society (APS)Copyright Statement
- Country of Publication:
- United States
- Language:
- English
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