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Title: Transseries for the ground state density and generalized Bloch equation: Double-well potential case

Journal Article · · Physical Review. D.

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
Citation Metrics:
Cited by: 6 works
Citation information provided by
Web of Science

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Figures / Tables (1)