Y. Tanizaki

activity

20132026

most citedAnomaly and global inconsistency matching:

θ

-angles,

S U (3) / U (1)^{2}

nonlinear sigma model,

S U (3)

chains and its generalizations

112 citations · 2.3k across the 78 of their papers we have counts for

collaborators

Showing hep-thShow all

49 papers · 1 filter

hep-th2026

Monopoles, Center Vortices, Confinement in (3+1)d, and the Lens-Space Twisted Partition Function

Yui Hayashi, Yuya Tanizaki

We propose the gauge-invariant criteria of center-vortex condensation and monopole condensation using the $Z_{N}^{[1]}$ -symmetry twisted partition functions: The torus twist…

hep-th2026

Wilson-'t Hooft classification and the perimeter law for dyonic loops in 3d monopole semiclassics

Yui Hayashi, Yuya Tanizaki

We investigate the long-distance behavior of dyonic loop operators in 4d $S U (N)$ gauge theories on $R^{3} \times S^{1}$ using the 3d monopole semiclassics. If we employ the na…

hep-th2025

Fractional instantons in 2d $C P^{N - 1}$ model and 4d Yang-Mills theory with 't Hooft twists

Yui Hayashi, Tatsuhiro Misumi, Muneto Nitta +2

We derive the explicit formula for fractional BPS lumps (or fractional instantons) in the $C P^{N - 1}$ nonlinear sigma model on a two-dimensional torus under various shift-c…

hep-th2025★ 7 cited

Twisted Partition Functions as Order Parameters

Jun Maeda, Yuya Tanizaki

For quantum field theories with global symmetry, we can study the behavior of the partition function with the background gauge field to diagnose different quantum phases. For the c…

hep-th2025★ 1 cited

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries

Nagare Katayama, Yuya Tanizaki

The Cardy-Rabinovici model is a toy model of the lattice $U (1)$ gauge theories to study various oblique confinement states associated with the nonzero $θ$ angles. We reformulate th…

hep-th2025★ 3 cited

Center-vortex semiclassics with non-minimal 't Hooft fluxes on $R^{2} \times T^{2}$ and center stabilization at large $N$

Yui Hayashi, Yuya Tanizaki, Mithat Ünsal

We consider the semiclassical description of confinement for $4$ d $S U (N)$ Yang-Mills theory on small $R^{2} \times T^{2}$ with non-minimal 't Hooft twist $p$ with $g cd (N, p) = 1$ …

hep-th2024★ 5 cited

Monopole-vortex continuity of $N = 1$ super Yang-Mills theory on $R^{2} \times S^{1} \times S^{1}$ with 't Hooft twist

Yui Hayashi, Tatsuhiro Misumi, Yuya Tanizaki

We study $N = 1$ $S U (N)$ super Yang-Mills (SYM) theory on $R^{2} \times (S^{1})_{3} \times (S^{1})_{4}$ with the 't Hooft twist. The theory becomes weakly coupled if the le…

hep-th2024★ 22 cited

Unifying Monopole and Center Vortex as the Semiclassical Confinement Mechanism

Yui Hayashi, Yuya Tanizaki

Magnetic excitations play a crucial role in understanding the color confinement of $4$ d Yang-Mills theory, and we have the monopole and the center vortex as plausible candidates to…

hep-th2024

Non-supersymmetric duality cascade of QCD(BF) via semiclassics on $R^{2} \times T^{2}$ with the baryon-'t Hooft flux

Yui Hayashi, Yuya Tanizaki, Hiromasa Watanabe

We study the phase diagrams of the bifundamental QCD (QCD(BF)) of different ranks, which is the $4$ d $S U (N_{1}) \times S U (N_{2})$ gauge theory coupled with a bifundamental Dirac fermio…

hep-th2024

Semiclassics for the QCD vacuum structure through $T^{2}$ -compactification with the baryon-'t Hooft flux

Yui Hayashi, Yuya Tanizaki

We study QCD vacuum structure with the topological $θ$ angle using a recently proposed semiclassical approach on $R^{2} \times T^{2}$ with the 't Hooft and baryon magnetic flu…

hep-th2023★ 12 cited

Solitonic symmetry as non-invertible symmetry: cohomology theories with TQFT coefficients

Shi Chen, Yuya Tanizaki

Originating from the topology of the path-integral target space $Y$ , solitonic symmetry describes the conservation law of topological solitons and the selection rule of defect oper…

hep-th2023★ 15 cited

Semiclassical analysis of the bifundamental QCD on $R^{2} \times T^{2}$ with 't Hooft flux

Yui Hayashi, Yuya Tanizaki, Hiromasa Watanabe

We study the phase structure of bifundamental quantum chromodynamics (QCD(BF)), which is the $4$ -dimensional $S U (N) \times S U (N)$ gauge theory coupled with the bifundamental fermio…

hep-th2023★ 9 cited

Study of gapped phases of 4d gauge theories using temporal gauging of the $Z_{N}$ 1-form symmetry

Mendel Nguyen, Yuya Tanizaki, Mithat Ünsal

To study gapped phases of $4$ d gauge theories, we introduce the temporal gauging of $Z_{N}$ $1$ -form symmetry in $4$ d quantum field theories (QFTs), thereby defining effecti…

hep-th2022★ 45 cited

Solitonic symmetry beyond homotopy: Invertibility from bordism and noninvertibility from topological quantum field theory

Shi Chen, Yuya Tanizaki

Solitonic symmetry has been believed to follow the homotopy-group classification of topological solitons. Here, we point out a more sophisticated algebraic structure when solitons…

hep-th2022★ 5 cited

Winding theta and destructive interference of instantons

Mendel Nguyen, Yuya Tanizaki, Mithat Ünsal

While the $θ$ dependence of field theories is $2 π$ periodic, the ground-state wavefunctions at $θ$ and $θ + 2 π$ often belong to different classes of symmetry-protected topological st…

hep-th2022★ 23 cited

Semiclassics with 't Hooft flux background for QCD with $2$ -index quarks

Yuya Tanizaki, Mithat Ünsal

We study quantum chromodynamics including the two-index symmetric or anti-symmetric quark (QCD(Sym/ASym)) on small $R^{2} \times T^{2}$ with a suitable magnetic flux. We first…

hep-th2022★ 87 cited

Non-invertible self-duality defects of Cardy-Rabinovici model and mixed gravitational anomaly

Yui Hayashi, Yuya Tanizaki

We study properties of self-duality symmetry in the Cardy-Rabinovici model. The Cardy-Rabinovici model is the $4$ d $U (1)$ gauge theory with electric and magnetic matters, and it en…

hep-th2022★ 44 cited

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

Yuya Tanizaki, Mithat Ünsal

We construct an anomaly-preserving compactification of 4d gauge theories, including $S U (N)$ Yang-Mills theory, $N = 1$ supersymmetric Yang-Mills theory, and QCD, down to 2d…

hep-th2022

Exploring the $θ$ -vacuum structure in the functional renormalization group approach

Kenji Fukushima, Takuya Shimazaki, Yuya Tanizaki

We investigate the $θ$ -vacuum structure and the 't Hooft anomaly at $θ = π$ in a simple quantum mechanical system on $S^{1}$ to scrutinize the applicability of the functional renormali…

hep-th2021★ 2 cited

Negative string tension of higher-charge Schwinger model via digital quantum simulation

Masazumi Honda, Etsuko Itou, Yuta Kikuchi +1

We study some properties of generalized global symmetry for the charge- $q$ Schwinger model in the Hamiltonian formalism, which is the $(1 + 1)$ -dimensional quantum electrodynamics wi…

hep-th2021★ 93 cited

Non-invertible 1-form symmetry and Casimir scaling in 2d Yang-Mills theory

Mendel Nguyen, Yuya Tanizaki, Mithat Ünsal

Pure Yang-Mills theory in 2 spacetime dimensions shows exact Casimir scaling. Thus there are infinitely many string tensions, and this has been understood as a result of non-propag…

hep-th2021★ 12 cited

Topological terms of (2+1)d flag-manifold sigma models

Ryohei Kobayashi, Yasunori Lee, Ken Shiozaki +1

We examine topological terms of $(2 + 1)$ d sigma models and their consequences in the light of classifications of invertible quantum field theories utilizing bordism groups. In parti…

hep-th2021★ 84 cited

Semi-Abelian gauge theories, non-invertible symmetries, and string tensions beyond $N$ -ality

Mendel Nguyen, Yuya Tanizaki, Mithat Ünsal

We study a 3d lattice gauge theory with gauge group $U (1)^{N - 1} ⋊ S_{N}$ , which is obtained by gauging the $S_{N}$ global symmetry of a pure $\mathrm{U}…

hep-th2020★ 24 cited

Topological aspects of $4$ D Abelian lattice gauge theories with the $θ$ parameter

Masazumi Honda, Yuya Tanizaki

We study a four-dimensional $U (1)$ gauge theory with the $θ$ angle, which was originally proposed by Cardy and Rabinovici. It is known that the model has the rich phase diagram tha…

Monopoles, Center Vortices, Confinement in (3+1)d, and the Lens-Space Twisted Partition Function

Wilson-'t Hooft classification and the perimeter law for dyonic loops in 3d monopole semiclassics

Fractional instantons in 2d CPN−1 model and 4d Yang-Mills theory with 't Hooft twists

Twisted Partition Functions as Order Parameters

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries

Center-vortex semiclassics with non-minimal 't Hooft fluxes on R2×T2 and center stabilization at large N

Monopole-vortex continuity of N=1 super Yang-Mills theory on R2×S1×S1 with 't Hooft twist

Unifying Monopole and Center Vortex as the Semiclassical Confinement Mechanism

Non-supersymmetric duality cascade of QCD(BF) via semiclassics on R2×T2 with the baryon-'t Hooft flux

Semiclassics for the QCD vacuum structure through T2-compactification with the baryon-'t Hooft flux

Solitonic symmetry as non-invertible symmetry: cohomology theories with TQFT coefficients

Semiclassical analysis of the bifundamental QCD on R2×T2 with 't Hooft flux

Study of gapped phases of 4d gauge theories using temporal gauging of the ZN​ 1-form symmetry

Solitonic symmetry beyond homotopy: Invertibility from bordism and noninvertibility from topological quantum field theory

Winding theta and destructive interference of instantons

Semiclassics with 't Hooft flux background for QCD with 2-index quarks

Non-invertible self-duality defects of Cardy-Rabinovici model and mixed gravitational anomaly

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

Exploring the θ-vacuum structure in the functional renormalization group approach

Negative string tension of higher-charge Schwinger model via digital quantum simulation

Non-invertible 1-form symmetry and Casimir scaling in 2d Yang-Mills theory

Topological terms of (2+1)d flag-manifold sigma models

Semi-Abelian gauge theories, non-invertible symmetries, and string tensions beyond N-ality

Topological aspects of 4D Abelian lattice gauge theories with the θ parameter

Fractional instantons in 2d $C P^{N - 1}$ model and 4d Yang-Mills theory with 't Hooft twists

Center-vortex semiclassics with non-minimal 't Hooft fluxes on $R^{2} \times T^{2}$ and center stabilization at large $N$

Monopole-vortex continuity of $N = 1$ super Yang-Mills theory on $R^{2} \times S^{1} \times S^{1}$ with 't Hooft twist

Non-supersymmetric duality cascade of QCD(BF) via semiclassics on $R^{2} \times T^{2}$ with the baryon-'t Hooft flux

Semiclassics for the QCD vacuum structure through $T^{2}$ -compactification with the baryon-'t Hooft flux

Semiclassical analysis of the bifundamental QCD on $R^{2} \times T^{2}$ with 't Hooft flux

Study of gapped phases of 4d gauge theories using temporal gauging of the $Z_{N}$ 1-form symmetry

Semiclassics with 't Hooft flux background for QCD with $2$ -index quarks

Exploring the $θ$ -vacuum structure in the functional renormalization group approach

Semi-Abelian gauge theories, non-invertible symmetries, and string tensions beyond $N$ -ality

Topological aspects of $4$ D Abelian lattice gauge theories with the $θ$ parameter