New Nonperturbative Methods in Quantum Field Theory: From Large-N Orbifold Equivalence to Bions and Resurgence
GV Dunne, M Ünsal - Annual Review of Nuclear and Particle …, 2016 - annualreviews.org
We present a broad conceptual introduction to some new ideas in nonperturbative quantum
field theory (QFT) that have led to progress toward an understanding of quark confinement in …
field theory (QFT) that have led to progress toward an understanding of quark confinement in …
Anomalies of 4d SpinG theories
TD Brennan, K Intriligator - Journal of High Energy Physics, 2024 - Springer
A bstract We consider't Hooft anomalies of four-dimensional gauge theories whose fermion
matter content admits Spin G (4) generalized spin structure, with G either gauged or a global …
matter content admits Spin G (4) generalized spin structure, with G either gauged or a global …
Decoding perturbation theory using resurgence: Stokes phenomena, new saddle points and Lefschetz thimbles
A Cherman, D Dorigoni, M Ünsal - Journal of High Energy Physics, 2015 - Springer
A bstract Resurgence theory implies that the non-perturbative (NP) and perturbative (P) data
in a QFT are quantitatively related, and that detailed information about non-perturbative …
in a QFT are quantitatively related, and that detailed information about non-perturbative …
Circle compactification and't Hooft anomaly
Y Tanizaki, T Misumi, N Sakai - Journal of High Energy Physics, 2017 - Springer
A bstract Anomaly matching constrains low-energy physics of strongly-coupled field
theories, but it is not useful at finite temperature due to contamination from high-energy …
theories, but it is not useful at finite temperature due to contamination from high-energy …
Anomaly and global inconsistency matching: angles, nonlinear sigma model, chains, and generalizations
Y Tanizaki, T Sulejmanpasic - Physical Review B, 2018 - APS
We discuss the SU (3)/[U (1)× U (1)] nonlinear sigma model in 1+ 1D and, more broadly, its
linearized counterparts. Such theories can be expressed as U (1)× U (1) gauge theories and …
linearized counterparts. Such theories can be expressed as U (1)× U (1) gauge theories and …
Anomalies, a mod 2 index, and dynamics of 2d adjoint QCD
A Cherman, T Jacobson, Y Tanizaki, M Ünsal - SciPost Physics, 2020 - scipost.org
We show that $2 $ d adjoint QCD, an $ SU (N) $ gauge theory with one massless adjoint
Majorana fermion, has a variety of mixed't Hooft anomalies. The anomalies are derived …
Majorana fermion, has a variety of mixed't Hooft anomalies. The anomalies are derived …
Fractional θ angle,'t Hooft anomaly, and quantum instantons in charge-q multi-flavor Schwinger model
T Misumi, Y Tanizaki, M Ünsal - Journal of High Energy Physics, 2019 - Springer
A bstract This work examines non-perturbative dynamics of a 2-dimensional QFT by using
discrete't Hooft anomaly, semi-classics with circle compactification and bosonization. We …
discrete't Hooft anomaly, semi-classics with circle compactification and bosonization. We …
Toward Picard-Lefschetz theory of path integrals, complex saddles and resurgence
We show that the semi-classical analysis of generic Euclidean path integrals necessarily
requires complexification of the action and measure, and consideration of complex saddle …
requires complexification of the action and measure, and consideration of complex saddle …
Cheshire cat resurgence, self-resurgence and quasi-exact solvable systems
We explore a one parameter ζ ζ-deformation of the quantum-mechanical Sine-Gordon and
Double-Well potentials which we call the Double Sine-Gordon (DSG) and the Tilted Double …
Double-Well potentials which we call the Double Sine-Gordon (DSG) and the Tilted Double …
Global symmetries, volume independence, and continuity in quantum field theories
T Sulejmanpasic - Physical Review Letters, 2017 - APS
We discuss quantum field theories with global SU (N) and O (N) symmetries for which
temporal direction is compactified on a circle of size L with periodicity of fields up to a global …
temporal direction is compactified on a circle of size L with periodicity of fields up to a global …