M. Ünsal

activity

20022026

most citedResurgence and Trans-series in Quantum Field Theory: The CP(N-1) Model

251 citations · 4k across the 73 of their papers we have counts for

collaborators

74 papers

hep-th2026

Quantum geometry at arbitrary genus - I: Anharmonic potentials

Mustafa Türe, Mithat Ünsal

In quantum mechanics of genus-1 potentials, perturbation theory around the topologically trivial saddle and non-perturbative instanton saddle are constructively related via the P/N…

hep-th2026

From Self-Dual to Physical $C P^{N - 1}$ : Anomalies, Boundary Stokes Phenomenon, and Global Structure of $θ$ -vacua

Yui Hayashi, Mithat Ünsal

We introduce a two-coupling generalization of $C P^{N - 1}$ model that continuously interpolates between the self-dual ( $ε = 0$ ) and the physical ( $ε = g$ ) theories as a useful n…

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★ 2 cited

Quantum Hamilton-Jacobi Theory, Spectral Path Integrals and Exact-WKB Analysis

Mustafa Türe, Mithat Ünsal

We propose a new way to perform path integrals in quantum mechanics by using a quantum version of Hamilton-Jacobi theory. In classical mechanics, Hamilton-Jacobi theory is a powerf…

hep-th2024

The metamorphosis of semi-classical mechanisms of confinement: From monopoles on $R^{3} \times S^{1}$ to center-vortices on $R^{2} \times T^{2}$

Canberk Güvendik, Thomas Schaefer, Mithat Ünsal

There are two distinct regimes of Yang-Mills theory where we can demonstrate confinement, the existence of a mass gap, and fractional theta angle dependence using a reliable semi-c…

hep-lat2024

Investigating two-dimensional adjoint QCD on the lattice

Georg Bergner, Stefano Piemonte, Mithat Ünsal

We present our investigations of SU( $N$ ) adjoint QCD in two dimensions with one Majorana fermion on the lattice. We determine the relevant parameter range for the simulations with…

hep-th2023

Refined instanton analysis of the 2D $C P^{N - 1}$ model: mass gap, theta dependence, and mirror symmetry

Mendel Nguyen, Mithat Ünsal

We address nonperturbative dynamics of the two-dimensional bosonic and supersymmetric $C P^{N - 1}$ models for general $N$ by developing new tools directly on $R^{2}$ .…

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★ 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★ 14 cited

Four-fermion deformations of the massless Schwinger model and confinement

Aleksey Cherman, Theodore Jacobson, Mikhail Shifman +2

We consider the massless charge- $N$ Schwinger model and its deformation with two four-fermion operators. Without the deformations, this model exhibits chiral symmetry breaking with…

hep-th2021★ 23 cited

Exact-WKB analysis for SUSY and quantum deformed potentials: Quantum mechanics with Grassmann fields and Wess-Zumino terms

Syo Kamata, Tatsuhiro Misumi, Naohisa Sueishi +1

Quantum deformed potentials arise naturally in quantum mechanical systems of one bosonic coordinate coupled to $N_{f}$ Grassmann valued fermionic coordinates, or to a topological Wes…

hep-th2021★ 6 cited

Cluster expansion and resurgence in Polyakov model

Cihan Pazarbaşı, Mithat Ünsal

In Polyakov model, a non-perturbative mass gap is formed at leading order semi-classics by instanton effects. By using the notions of critical points at infinity, cluster expansion…

hep-th2021★ 3 cited

Graded Hilbert spaces, quantum distillation and connecting SQCD to QCD

Mithat Ünsal

The dimension of the Hilbert space of QFT scales exponentially with the volume of the space in which the theory lives, yet in supersymmetric theories, one can define a graded dimen…

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…

quant-ph2021★ 35 cited

Exact-WKB, complete resurgent structure, and mixed anomaly in quantum mechanics on $S^{1}$

Naohisa Sueishi, Syo Kamata, Tatsuhiro Misumi +1

We investigate the exact-WKB analysis for quantum mechanics in a periodic potential, with $N$ minima on $S^{1}$ . We describe the Stokes graphs of a general potential problem as a…

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★ 36 cited

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

Naohisa Sueishi, Syo Kamata, Tatsuhiro Misumi +1

There are two well-known approaches to studying nonperturbative aspects of quantum mechanical systems: Saddle point analysis of the partition functions in Euclidean path integral f…

hep-th2020★ 16 cited

Universality between vector-like and chiral quiver gauge theories: Anomalies and domain walls

Tin Sulejmanpasic, Yuya Tanizaki, Mithat Ünsal

We study low-energy dynamics of $[S U (N)]^{K}$ chiral quiver gauge theories in connection with $N = 1$ super Yang-Mills (SYM) theory, and quantum chromodynamics with bi-fundam…

hep-th2019★ 99 cited

Modified instanton sum in QCD and higher-groups

Yuya Tanizaki, Mithat Ünsal

We consider the $S U (N)$ Yang-Mills theory, whose topological sectors are restricted to the instanton number with integer multiples of $p$ . We can formulate such a quantum field the…

hep-th2019★ 2 cited

Flow of Hagedorn singularities and phase transitions in large $N$ gauge theories

Aleksey Cherman, Syo Kamata, Thomas Schaefer +1

We investigate the singularity structure of the $(- 1)^{F}$ graded partition function in QCD with $n_{f} \geq 1$ massive adjoint fermions in the large- $N$ limit. Here, $F$ is fermion nu…

hep-th2019★ 11 cited

Quantum distillation in QCD

Takuya Kanazawa, Mithat Ünsal

We propose a grading protocol which assigns global symmetry associated phases to states in the Hilbert space. Without modifying the Hilbert space, this changes the state sum, a pro…

hep-th2019★ 58 cited

Anomalies, a mod 2 index, and dynamics of 2d adjoint QCD

Aleksey Cherman, Theodore Jacobson, Yuya Tanizaki +1

We show that $2$ d adjoint QCD, an $S U (N)$ gauge theory with one massless adjoint Majorana fermion, has a variety of mixed 't Hooft anomalies. The anomalies are derived using a rece…

hep-th2019★ 45 cited

Fractional $θ$ angle, 't Hooft anomaly, and quantum instantons in charge- $q$ multi-flavor Schwinger model

Tatsuhiro Misumi, Yuya Tanizaki, Mithat Ünsal

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 focus on c…

Quantum geometry at arbitrary genus - I: Anharmonic potentials

From Self-Dual to Physical CPN−1: Anomalies, Boundary Stokes Phenomenon, and Global Structure of θ-vacua

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

Quantum Hamilton-Jacobi Theory, Spectral Path Integrals and Exact-WKB Analysis

The metamorphosis of semi-classical mechanisms of confinement: From monopoles on R3×S1 to center-vortices on R2×T2

Investigating two-dimensional adjoint QCD on the lattice

Refined instanton analysis of the 2D CPN−1 model: mass gap, theta dependence, and mirror symmetry

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

Winding theta and destructive interference of instantons

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

Four-fermion deformations of the massless Schwinger model and confinement

Exact-WKB analysis for SUSY and quantum deformed potentials: Quantum mechanics with Grassmann fields and Wess-Zumino terms

Cluster expansion and resurgence in Polyakov model

Graded Hilbert spaces, quantum distillation and connecting SQCD to QCD

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

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

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

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

Universality between vector-like and chiral quiver gauge theories: Anomalies and domain walls

Modified instanton sum in QCD and higher-groups

Flow of Hagedorn singularities and phase transitions in large N gauge theories

Quantum distillation in QCD

Anomalies, a mod 2 index, and dynamics of 2d adjoint QCD

Fractional θ angle, 't Hooft anomaly, and quantum instantons in charge-q multi-flavor Schwinger model

From Self-Dual to Physical $C P^{N - 1}$ : Anomalies, Boundary Stokes Phenomenon, and Global Structure of $θ$ -vacua

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

The metamorphosis of semi-classical mechanisms of confinement: From monopoles on $R^{3} \times S^{1}$ to center-vortices on $R^{2} \times T^{2}$

Refined instanton analysis of the 2D $C P^{N - 1}$ model: mass gap, theta dependence, and mirror symmetry

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

Exact-WKB, complete resurgent structure, and mixed anomaly in quantum mechanics on $S^{1}$

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

Flow of Hagedorn singularities and phase transitions in large $N$ gauge theories

Fractional $θ$ angle, 't Hooft anomaly, and quantum instantons in charge- $q$ multi-flavor Schwinger model