Exact-WKB, complete resurgent structure, and mixed anomaly in quantum mechanics on $S^1$

@inproceedings{Sueishi2021ExactWKBCR,
  title={Exact-WKB, complete resurgent structure, and mixed anomaly in quantum mechanics on \$S^1\$},
  author={Naohisa Sueishi and S. Kamata and T. Misumi and M. Unsal},
  year={2021}
}
in quantum mechanics on S Naohisa Sueishi,1, ∗ Syo Kamata,2, † Tatsuhiro Misumi,3, 4, ‡ and Mithat Ünsal5, § Department of Physics, Nagoya University, Nagoya 464-8602, Japan National Centre for Nuclear Research, 02-093 Warsaw, Poland Department of Mathematical Science, Akita University, Akita 010-8502, Japan Department of Physics, Keio University, Kanagawa 223-8521, Japan Department of Physics, North Carolina State University, Raleigh, NC 27607, USA 

Figures and Tables from this paper

TQFT at work for IR-renormalons, resurgence and Lefschetz decomposition
We investigate the implications of coupling a topological quantum field theory (TQFT) to YangMills theory with SU(N) gauge group in the context of the IR-renormalon problem. Coupling a TQFT to QFTExpand
Quantum phase transition and Resurgence: Lessons from 3d $\mathcal{N}=4$ SQED
We study a resurgence structure of a quantum field theory with a phase transition to uncover relations between resurgence and phase transitions. In particular, we focus on three-dimensional N = 4Expand

References

SHOWING 1-10 OF 87 REFERENCES
TBA equations and resurgent Quantum Mechanics
A bstractWe derive a system of TBA equations governing the exact WKB periods in one-dimensional Quantum Mechanics with arbitrary polynomial potentials. These equations provide a generalization of theExpand
Global inconsistency, 't~Hooft anomaly, and level crossing in quantum mechanics
An 't Hooft anomaly is the obstruction for gauging symmetries, and it constrains possible low-energy behaviors of quantum field theories by excluding trivial infrared theories. Global inconsistencyExpand
Quantization condition from exact WKB for difference equations
A bstractA well-motivated conjecture states that the open topological string partition function on toric geometries in the Nekrasov-Shatashvili limit is annihilated by a difference operator calledExpand
WKB and Resurgence in the Mathieu Equation
In this paper, based on lectures by the authors at the May 2015 workshop Resurgence, Physics and Numbers, at the Centro di Ricerca Matematica Ennio De Giorgio of the Scuola Normale Superiore in Pisa,Expand
Strongly coupled QFT dynamics via TQFT coupling
We consider a class of quantum field theories and quantum mechanics, which we couple to ZN topological QFTs, in order to classify non-perturbative effects in the original theory. The ZN TQFTExpand
Exact quantization conditions for the relativistic Toda lattice
A bstractInspired by recent connections between spectral theory and topological string theory, we propose exact quantization conditions for the relativistic Toda lattice of N particles. TheseExpand
Multi-instantons and exact results II: Specific cases, higher-order effects, and numerical calculations
Abstract In this second part of the treatment of instantons in quantum mechanics, the focus is on specific calculations related to a number of quantum mechanical potentials with degenerate minima. WeExpand
Multi-instantons and exact results I: Conjectures, WKB expansions, and instanton interactions
Abstract We consider specific quantum mechanical model problems for which perturbation theory fails to explain physical properties like the eigenvalue spectrum even qualitatively, even if theExpand
Coupling a QFT to a TQFT and duality
A bstractWe consider coupling an ordinary quantum field theory with an infinite number of degrees of freedom to a topological field theory. On $ \mathbb{R} $d the new theory differs from the originalExpand
Quantization conditions and functional equations in ABJ(M) theories
The partition function of ABJ(M) theories on the three-sphere can be regarded as the canonical partition function of an ideal Fermi gas with a non-trivial Hamiltonian. We propose an exact expressionExpand
...
1
2
3
4
5
...