4.4 Article

Polyakov model in 't Hooft flux background: a quantum mechanical reduction with memory

Related references

Note: Only part of the references are listed.
Article Multidisciplinary Sciences

Notes on Confinement on R3 x S1: From Yang-Mills, Super-Yang-Mills, and QCD (adj) to QCD(F)

Erich Poppitz

Summary: This article provides a pedagogical introduction to the physics of confinement on R(3)xS(1) using SU(2) Yang-Mills and adjoint fermions as an example. It discusses how introducing adjoint fermions stabilizes center symmetry and allows for semiclassical calculation of nonperturbative physics. The article also explores the generation of monopole-instantons and twisted monopole-instantons, as well as the role of various topological excitations.

SYMMETRY-BASEL (2022)

Article Physics, Multidisciplinary

Cluster Expansion and Resurgence in the Polyakov Model

Cihan Pazarba et al.

Summary: In the Polyakov model, a nonperturbative mass gap is formed at leading-order semiclassics by instanton effects. However, a third-order effect in semiclassics introduces an imaginary ambiguous contribution to the mass gap, which is troublesome for the original analysis. By compactifying the Polyakov model to quantum mechanics using a background ???t Hooft flux, the ambiguity in three-instanton sector is proven to cancel against the ambiguity in the Borel resummation of the perturbation theory, providing a large-order asymptotics.

PHYSICAL REVIEW LETTERS (2022)

Article Physics, Particles & Fields

Strongly coupled QFT dynamics via TQFT coupling

Mithat Unsal

Summary: The paper discusses a class of quantum field theories and quantum mechanics, coupled with Z(N) topological QFTs to classify non-perturbative effects in the original theory. The coupling of SU(N) Yang-Mills theory with Z(N) TQFT and the importance of PSU(N) bundle and lift configurations are highlighted, providing a new perspective and solutions for the strong coupling regime.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Article Physics, Particles & Fields

Exact-WKB, complete resurgent structure, and mixed anomaly in quantum mechanics on S1

Naohisa Sueishi et al.

Summary: The study focuses on exact-WKB analysis for quantum mechanics in a periodic potential with N minima on S-1. It provides a quantization condition consistent with known conjectures and mixed anomaly, and shows the closed nature of the resurgent structure in Hilbert subspaces.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Article Physics, Multidisciplinary

Towards Lefschetz Thimbles in Sigma Models, I

I. Krichever et al.

Summary: The study focuses on the complex critical points of the sigma model actions in the O(N) and CPN-1 models, relevant for theories at finite volume and finite temperature. Specifically, the O(2m) and CPN-1 models in the sector of zero instanton charge are discussed, along with some solutions of the O(2m + 1) model. Further discussions on the CPN-1 model for all instanton charges and a more general class of solutions of the O(N) model with odd N will be presented in a forthcoming paper.

JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS (2021)

Article Physics, Particles & Fields

Constructing SU(N) fractional instantons

Antonio Gonzalez-Arroyo

JOURNAL OF HIGH ENERGY PHYSICS (2020)

Article Physics, Particles & Fields

On exact-WKB analysis, resurgent structure, and quantization conditions

Naohisa Sueishi et al.

JOURNAL OF HIGH ENERGY PHYSICS (2020)

Article Physics, Particles & Fields

Bion non-perturbative contributions versus infrared renormalons in two-dimensional CPN-1 models

Toshiaki Fujimori et al.

JOURNAL OF HIGH ENERGY PHYSICS (2019)

Article Physics, Particles & Fields

Numerical stochastic perturbation theory applied to the twisted Eguchi-Kawai model

Antonio Gonzalez-Arroyo et al.

JOURNAL OF HIGH ENERGY PHYSICS (2019)

Article Physics, Particles & Fields

Critical points at infinity, non-Gaussian saddles, and bions

Alireza Behtash et al.

JOURNAL OF HIGH ENERGY PHYSICS (2018)

Article Physics, Particles & Fields

Vacuum structure of Yang-Mills theory as a function of θ

Kyle Aitken et al.

JOURNAL OF HIGH ENERGY PHYSICS (2018)

Article Astronomy & Astrophysics

θ dependence in trace deformed SU(3) Yang-Mills theory: A lattice study

Claudio Bonati et al.

PHYSICAL REVIEW D (2018)

Article Physics, Particles & Fields

From 4d Yang-Mills to 2d CPN-1 model: IR problem and confinement at weak coupling

Masahito Yamazaki et al.

JOURNAL OF HIGH ENERGY PHYSICS (2017)

Article Physics, Multidisciplinary

Global inconsistency, 't Hooft anomaly, and level crossing in quantum mechanics

Yuta Kikuchi et al.

PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS (2017)

Article Astronomy & Astrophysics

Exact resurgent trans-series and multibion contributions to all orders

Toshiaki Fujimori et al.

PHYSICAL REVIEW D (2017)

Review Physics, Nuclear

New Nonperturbative Methods in Quantum Field Theory: From Large- N Orbifold Equivalence to Bions and Resurgence

Gerald V. Dunne et al.

ANNUAL REVIEW OF NUCLEAR AND PARTICLE SCIENCE, VOL 66 (2016)

Article Physics, Particles & Fields

Non-BPS exact solutions and their relation to bions in CPN-1 models

Tatsuhiro Misumi et al.

JOURNAL OF HIGH ENERGY PHYSICS (2016)

Article Astronomy & Astrophysics

Nonperturbative contributions from complexified solutions in CPN-1 models

Toshiaki Fujimori et al.

PHYSICAL REVIEW D (2016)

Article Astronomy & Astrophysics

Emergent dimensions and branes from large-N confinement

Aleksey Cherman et al.

PHYSICAL REVIEW D (2016)

Article Physics, Multidisciplinary

Resurgence, operator product expansion, and remarks on renormalons in supersymmetric Yang-Mills theory

M. Shifman

JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS (2015)

Article Physics, Multidisciplinary

Hidden Topological Angles in Path Integrals

Alireza Behtash et al.

PHYSICAL REVIEW LETTERS (2015)

Article Physics, Particles & Fields

Generalized global symmetries

Davide Gaiotto et al.

JOURNAL OF HIGH ENERGY PHYSICS (2015)

Article Astronomy & Astrophysics

Uniform WKB, multi-instantons, and resurgent trans-series

Gerald V. Dunne et al.

PHYSICAL REVIEW D (2014)

Article Astronomy & Astrophysics

Generating nonperturbative physics from perturbation theory

Gerald V. Dunne et al.

PHYSICAL REVIEW D (2014)

Article Physics, Particles & Fields

Coupling a QFT to a TQFT and duality

Anton Kapustin et al.

JOURNAL OF HIGH ENERGY PHYSICS (2014)

Article Physics, Particles & Fields

Neutral bions in the CPN-1 model

Tatsuhiro Misumi et al.

JOURNAL OF HIGH ENERGY PHYSICS (2014)

Article Astronomy & Astrophysics

Continuity and Resurgence: Towards a continuum definition of the CP(N-1) model

Gerald V. Dunne et al.

PHYSICAL REVIEW D (2013)

Article Physics, Particles & Fields

Resurgence theory, ghost-instantons, and analytic continuation of path integrals

Goekce Basar et al.

JOURNAL OF HIGH ENERGY PHYSICS (2013)

Article Physics, Particles & Fields

Resurgence and trans-series in Quantum Field Theory: the CPN-1 model

Gerald V. Dunne et al.

JOURNAL OF HIGH ENERGY PHYSICS (2012)

Article Astronomy & Astrophysics

Magnetic bion condensation: A new mechanism of confinement and mass gap in four dimensions

Mithat Uensal

PHYSICAL REVIEW D (2009)

Article Astronomy & Astrophysics

Center-stabilized Yang-Mills theory: Confinement and large N volume independence

Mithat Uensal et al.

PHYSICAL REVIEW D (2008)

Article Physics, Mathematical

Langer-Cherry derivation of the multi-instanton expansion for the symmetric double well

G Alvarez

JOURNAL OF MATHEMATICAL PHYSICS (2004)