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

79 papers

hep-lat2026

Dyon Condensation at $θ = 2 π$ from Wilson-'t Hooft Loops in Yang-Mills Theory

Hiromasa Watanabe, Issaku Kanamori, Okuto Morikawa +3

Although Yang--Mills theories at $θ$ and $θ + 2 π$ are physically equivalent, their periodicity is realized nontrivially in the presence of a background field for the $1$ -form center…

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-lat2026

Numerical Hints for Dyon Condensation at $θ = 2 π$ via Wilson-'t Hooft Loops in $S U (2)$ Yang-Mills Theory

Hiromasa Watanabe, Issaku Kanamori, Okuto Morikawa +3

Yang-Mills theories at $θ$ and $θ + 2 π$ are unitarily equivalent, but their $2 π$ periodicity has a nontrivial realization. Recent developments in generalized symmetries rigorously pr…

hep-lat2026

Tensor renormalization group approach to the $O (2)$ models via symmetry-twisted partition functions

Shinichiro Akiyama, Raghav G. Jha, Jun Maeda +2

We investigate critical phenomena in the $O (2)$ models using symmetry-twisted partition functions that can be efficiently computed within the tensor renormalization group framework…

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-lat2026★ 2 cited

Tensor renormalization group approach to critical phenomena via symmetry-twisted partition functions

Shinichiro Akiyama, Raghav G. Jha, Jun Maeda +2

The locality of field theories strongly constrains the possible behaviors of symmetry-twisted partition functions, and thus they serve as order parameters to detect low-energy real…

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-lat2025

Computing theta-dependent mass spectrum of the 2-flavor Schwinger model in the Hamiltonian formalism

Akira Matsumoto, Etsuko Itou, Yuya Tanizaki

We compute the $θ$ -dependent mass spectrum of the 2-flavor Schwingr model using the tensor network (DMRG) in the Hamiltonian formalism. The pion and the sigma meson are identified…

cond-mat.str-el2024

Infrared properties of two-dimensional $SU (N) / H$ nonlinear $σ$ models at nonzero $θ$ angles

Philippe Lecheminant, Yuya Tanizaki, Keisuke Totsuka

A general strategy is proposed to explore the low-energy properties of two-dimensional nonlinear $σ$ models with $θ$ terms. We demonstrate its application to nonlinear $σ$ models w…

hep-lat2024

Lattice gradient flows (de-)stabilizing topological sectors

Yuya Tanizaki, Akio Tomiya, Hiromasa Watanabe

We investigate the stability of topological charge under gradient flow taking the admissibility condition into account. For the $S U (2)$ Wilson gauge theory with $β = 2.45$ and $L^4=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-lat2024

DMRG study of the theta-dependent mass spectrum in the 2-flavor Schwinger model

Etsuko Itou, Akira Matsumoto, Yuya Tanizaki

We study the $θ$ -dependent mass spectrum of the massive $2$ -flavor Schwinger model in the Hamiltonian formalism using the density-matrix renormalization group(DMRG). The masses of…

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-lat2024

Three ways of calculating mass spectra for the 2-flavor Schwinger model in the Hamiltonian formalism

Akira Matsumoto, Etsuko Itou, Yuya Tanizaki

We propose three independent methods to compute the hadron mass spectra of gauge theories in the Hamiltonian formalism. The determination of hadron masses is one of the key issues…

hep-lat2023

Lattice construction of mixed 't Hooft anomaly with higher-form symmetry

Motokazu Abe, Okuto Morikawa, Soma Onoda +2

In this talk, we give the lattice regularized formulation of the mixed 't Hooft anomaly between the $Z_{N}$ $1$ -form symmetry and the $θ$ periodicity for $4$ d pure Yang-Mill…

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-lat2023

Calculating composite-particle spectra in Hamiltonian formalism and demonstration in 2-flavor QED $_{1 + 1 d}$

Etsuko Itou, Akira Matsumoto, Yuya Tanizaki

We consider three distinct methods to compute the mass spectrum of gauge theories in the Hamiltonian formalism: (1) correlation-function scheme, (2) one-point-function scheme, and…

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…

Dyon Condensation at θ=2π from Wilson-'t Hooft Loops in Yang-Mills Theory

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

Numerical Hints for Dyon Condensation at θ=2π via Wilson-'t Hooft Loops in SU(2) Yang-Mills Theory

Tensor renormalization group approach to the O(2) models via symmetry-twisted partition functions

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

Tensor renormalization group approach to critical phenomena via symmetry-twisted partition functions

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

Computing theta-dependent mass spectrum of the 2-flavor Schwinger model in the Hamiltonian formalism

Infrared properties of two-dimensional SU(N)/H nonlinear σ models at nonzero θ angles

Lattice gradient flows (de-)stabilizing topological sectors

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

DMRG study of the theta-dependent mass spectrum in the 2-flavor Schwinger model

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

Three ways of calculating mass spectra for the 2-flavor Schwinger model in the Hamiltonian formalism

Lattice construction of mixed 't Hooft anomaly with higher-form symmetry

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

Calculating composite-particle spectra in Hamiltonian formalism and demonstration in 2-flavor QED1+1d​

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

Dyon Condensation at $θ = 2 π$ from Wilson-'t Hooft Loops in Yang-Mills Theory

Numerical Hints for Dyon Condensation at $θ = 2 π$ via Wilson-'t Hooft Loops in $S U (2)$ Yang-Mills Theory

Tensor renormalization group approach to the $O (2)$ models via symmetry-twisted partition functions

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 $N$

Infrared properties of two-dimensional $SU (N) / H$ nonlinear $σ$ models at nonzero $θ$ angles

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

Calculating composite-particle spectra in Hamiltonian formalism and demonstration in 2-flavor QED $_{1 + 1 d}$

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