• Publications
  • Influence
Resurgence and trans-series in Quantum Field Theory: the $\mathbb{C}{{\mathbb{P}}^{N-1 }}$ model
A bstractThis work is a step towards a non-perturbative continuum definition of quantum field theory (QFT), beginning with asymptotically free two dimensional non-linear sigma-models, using recentExpand
Magnetic bion condensation: A new mechanism of confinement and mass gap in four dimensions
In recent work, we derived the long-distance confining dynamics of certain QCD-like gauge theories formulated on small S{sup 1}xR{sup 3} based on symmetries, an index theorem, and Abelian duality.Expand
The semi-classical expansion and resurgence in gauge theories: new perturbative, instanton, bion, and renormalon effects
A bstractWe study the dynamics of four dimensional gauge theories with adjoint fermions for all gauge groups, both in perturbation theory and non-perturbatively, by using circle compactification withExpand
Seiberg-Witten and “Polyakov-like” magnetic bion confinements are continuously connected
We study four-dimensional $ \mathcal{N} = 2 $ supersymmetricpure-gauge (Seiberg-Witten) theory and its $ \mathcal{N} = 1 $ mass perturbation by using compactification on $ {\mathbb{S}^1} \timesExpand
Aspects of perturbation theory in quantum mechanics: The BenderWuMathematica® package
A general setup which allows the study of the perturbation theory of an arbitrary, locally harmonic 1D quantum mechanical potential as well as its multi-variable (many-body) generalization is discussed, and it is shown that for the multi- variable case, the recursion relation acquires a geometric character, and has a structure which allows easy parallelization to computer clusters. Expand
Modified instanton sum in QCD and higher-groups
We consider the SU( N ) Yang-Mills theory, whose topological sectors are restricted to the instanton number with integer multiples of p . We can formulate such a quantum field theory maintainingExpand
Theta dependence, sign problems and topological interference
In a Euclidean path integral formulation of gauge theory and quantum mechanics, the theta-term induces a sign problem, and relatedly, a complex phase for the fugacity of topological defects; whereasExpand
Cheshire Cat Resurgence, Self-Resurgence and Quasi-Exact Solvable Systems
We explore a one parameter $${\zeta}$$ζ-deformation of the quantum-mechanical Sine-Gordon and Double-Well potentials which we call the Double Sine-Gordon (DSG) and the Tilted Double Well (TDW),Expand
SLAC-PUB-13488 Index theorem for topological excitations on R 3 × S 1 and Chern-Simons theory
We derive an index theorem for the Dirac operator in the background of various topological excitations on an R × S geometry. The index theorem provides more refined data than the APS index for anExpand
2d affine XY-spin model/4d gauge theory duality and deconfinement
A bstractWe introduce a duality between two-dimensional XY-spin models with symmetry-breaking perturbations and certain four-dimensional SU(2) and SU(2)/$ {\mathbb{Z}_2} $ gauge theories,Expand