Polyakov loop modeling for hot QCD

K Fukushima, V Skokov - Progress in Particle and Nuclear Physics, 2017 - Elsevier
We review theoretical aspects of quantum chromodynamics (QCD) at finite temperature. The
most important physical variable to characterize hot QCD is the Polyakov loop, which is an …

Unifying Monopole and Center Vortex as the Semiclassical Confinement Mechanism

Y Hayashi, Y Tanizaki - Physical Review Letters, 2024 - APS
Magnetic excitations play a crucial role in understanding the color confinement of 4D Yang-
Mills theory, and we have the monopole and the center vortex as plausible candidates to …

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 …

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 …

Center vortex and confinement in Yang–Mills theory and QCD with anomaly-preserving compactifications

Y Tanizaki, M Ünsal - Progress of Theoretical and Experimental …, 2022 - academic.oup.com
We construct an anomaly-preserving compactification of 4D gauge theories, including SU
(N) Yang–Mills theory, supersymmetric Yang–Mills theory, and quantum chromodynamics …

Vacuum structure of bifundamental gauge theories at finite topological angles

Y Tanizaki, Y Kikuchi - Journal of High Energy Physics, 2017 - Springer
A bstract We discuss possible vacuum structures of SU (n)× SU (n) gauge theories with
bifundamental matters at finite θ angles. In order to give a precise constraint, a mixed't Hooft …

Chiral symmetry breaking on the lattice

M Faber, R Höllwieser - Progress in Particle and Nuclear Physics, 2017 - Elsevier
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Global inconsistency,'t Hooft anomaly, and level crossing in quantum mechanics

Y Kikuchi, Y Tanizaki - Progress of Theoretical and Experimental …, 2017 - academic.oup.com
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. The global …

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 …

Strongly coupled QFT dynamics via TQFT coupling

M Ünsal - Journal of High Energy Physics, 2021 - Springer
A bstract We consider a class of quantum field theories and quantum mechanics, which we
couple to ℤ N topological QFTs, in order to classify non-perturbative effects in the original …