期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 12, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP12(2016)002
关键词
Nonperturbative Effects; Supersymmetric gauge theory; Supersymmetry Breaking
资金
- U.S. Department of Energy, Office of Science, Office of High Energy Physics [DE-SC0010339]
- Office of Nuclear Physics [DE-SC0013036]
- Center for Mathematical Sciences and Applications (CMSA) at Harvard University
- U.S. Department of Energy (DOE) [DE-SC0013036] Funding Source: U.S. Department of Energy (DOE)
We explain how a vanishing, or truncated, perturbative expansion, such as often arises in semi-classically tractable supersymmetric theories, can nevertheless be related to fluctuations about non-perturbative sectors via resurgence. We also demonstrate that, in the same class of theories, the vanishing of the ground state energy (unbroken supersymmetry) can be attributed to the cancellation between a real saddle and a complex saddle (with hidden topological angle pi), and positivity of the ground state energy (broken supersymmetry) can be interpreted as the dominance of complex saddles. In either case, despite the fact that the ground state energy is zero to all orders in perturbation theory, all orders of fluctuations around non-perturbative saddles are encoded in the perturbative E(N, g). We illustrate these ideas with examples from supersymmetric quantum mechanics and quantum field theory.
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