On exact-WKB analysis, resurgent structure, and quantization conditions
A bstract There are two well-known approaches to studying nonperturbative aspects of
quantum mechanical systems: saddle point analysis of the partition functions in Euclidean …
quantum mechanical systems: saddle point analysis of the partition functions in Euclidean …
Borel resummation of secular divergences in stochastic inflation
A bstract We make use of Borel resummation to extract the exact time dependence from the
divergent series found in the context of stochastic inflation. Correlation functions of self …
divergent series found in the context of stochastic inflation. Correlation functions of self …
TQFT at work for IR-renormalons, resurgence and Lefschetz decomposition
M Ünsal - arxiv preprint arxiv:2106.14971, 2021 - arxiv.org
We investigate the implications of coupling a topological quantum field theory (TQFT) to
Yang-Mills theory with $ SU (N) $ gauge group in the context of the IR-renormalon problem …
Yang-Mills theory with $ SU (N) $ gauge group in the context of the IR-renormalon problem …
Quantum phase transition and resurgence: Lessons from three-dimensional supersymmetric quantum electrodynamics
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 …
relations between resurgence and phase transitions. In particular, we focus on three …
[HTML][HTML] Identification of perturbative ambiguity canceled against bion
O Morikawa, H Takaura - Physics Letters B, 2020 - Elsevier
It was conjectured that bions, semi-classical objects found in a compactified spacetime, are
responsible for the cancellation of the so-called renormalon ambiguities. Contrary to the …
responsible for the cancellation of the so-called renormalon ambiguities. Contrary to the …
[PDF][PDF] Quantum phase transition and Resurgence: Lessons from 3d 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 …
relations between resurgence and phase transitions. In particular, we focus on three …
The Casimir effect for nonlinear sigma models and the Mermin–Wagner–Hohenberg–Coleman theorem
The quantum vacuum (Casimir) energy arising from noninteracting massless quanta is
known to induce a long-range force, while decays exponentially for massive fields and …
known to induce a long-range force, while decays exponentially for massive fields and …
More on the infrared renormalon in SU (N) QCD(adj.) on
M Ashie, O Morikawa, H Suzuki… - Progress of Theoretical …, 2020 - academic.oup.com
We present additional observations to previous studies on the infrared (IR) renormalon in
QCD (adj.), the gauge theory with-flavor adjoint Weyl fermions on with the twisted boundary …
QCD (adj.), the gauge theory with-flavor adjoint Weyl fermions on with the twisted boundary …
Lattice ℂPN− 1 model with ℤN twisted boundary condition: bions, adiabatic continuity and pseudo-entropy
A bstract We investigate the lattice ℂP N− 1 sigma model on\({S} _s^ 1\)(large)×\({S} _ {\tau}^
1\)(small) with the ℤ N symmetric twisted boundary condition, where a sufficiently large ratio …
1\)(small) with the ℤ N symmetric twisted boundary condition, where a sufficiently large ratio …
Resurgence and semiclassical expansion in two-dimensional large-N sigma models
A bstract The resurgence structure of the 2d O (N) sigma model at large N is studied with a
focus on an IR momentum cutoff scale a that regularizes IR singularities in the semiclassical …
focus on an IR momentum cutoff scale a that regularizes IR singularities in the semiclassical …