12 citations · 39 across the 15 of their papers we have counts for
15 papers
Supersymmetric vortex loops in 3D gauge theories
Kazuo Hosomichi, Kohei Suzuki
We give a precise definition of BPS vortex loops in 3D non-abelian gauge theories with SUSY by the path integral over fields with a prescribed singular behavior. We co…
Sobolev-to-Lipschitz Property on QCD-spaces and Applications
Lorenzo Dello Schiavo, Kohei Suzuki
We prove the Sobolev-to-Lipschitz property for metric measure spaces satisfying the quasi curvature dimension condition recently introduced in E. Milman, The Quasi Curvature-Dimens…
BV Functions and Sets of Finite Perimeter on Configuration Spaces
Elia Bruè, Kohei Suzuki
This paper contributes to foundations of the geometric measure theory in the infinite dimensional setting of the configuration space over the Euclidean space equipped…
Superconducting Correlations in the One-Dimensional Kondo Lattice Models under Magnetic Fields
Kohei Suzuki, Kazumasa Hattori
We analyze superconducting correlations in the one-dimensional Kondo lattice models with Ising anisotropy under transverse magnetic fields, using the density matrix renormalization…
Euclidean path integral of the scalar Lee-Wick model
Seiji Sakoda, Kohei Suzuki
On the basis of the canonical quantization procedure, in which we need the indefinite metric Hilbert space, we formulate field diagonal representation for the scalar Lee-Wick model…
Regularity and Stability of Invariant Measures for Diffusion Processes under Synthetic Lower Ricci Curvature Bounds
Kohei Suzuki
The Sobolev regularity of invariant measures for diffusion processes is proved on non-smooth metric measure spaces with synthetic lower Ricci curvature bounds. As an application, t…
Ground-state phase diagram of the one-dimensional Kondo lattice model with a uniaxial anisotropy under transverse fields
Kohei Suzuki, Kazumasa Hattori
We study the effects of transverse magnetic fields on the one-dimensional Kondo lattice model with a uniaxial anisotropy using the density matrix renormalization group. The m…
Convergence of Non-Symmetric Diffusion Processes on RCD spaces
Kohei Suzuki
We construct non-symmetric diffusion processes associated with Dirichlet forms consisting of uniformly elliptic forms and derivation operators with killing terms on RCD spaces by a…
Convergence of Brownian Motions on Metric Measure Spaces Under Riemannian Curvature-Dimension Conditions
Kohei Suzuki
We show that the pointed measured Gromov convergence of the underlying spaces implies (or under some condition, is equivalent to) the weak convergence of Brownian motions under Rie…
Convergence of Brownian motions on RCD(K,infty) spaces
Kohei Suzuki
Suppose that metric measure spaces X_n=(X_n, d_n, m_n) satisfy RCD(K,infty) conditions with m_n(X_n)=1. Then the measured Gromov convergence (introduced by Gigili-Mondino-Savare '1…
Convergence of Brownian motions on RCD*(K,N) spaces
Kohei Suzuki
Suppose that a sequence of metric measure spaces X_n=(X_n, d_n, m_n) satisfies RCD*(K,N) with Diam(X_n) <D and m_n(X_n)=1. Then Sturm's D-convergence of X_n is equivalent to the we…
Non-separability of the Lipschitz distance
Kohei Suzuki, Yohei Yamazaki
Let be a compact metric space and be the set of isometry classes of compact metric spaces such that the Lipschitz distance is finite. We show that…
Convergence of continuous stochastic processes on compact metric spaces converging in the Lipschitz distance
Kohei Suzuki
We introduce a new distance, a Lipschitz-Prokhorov distance , on the set of isomorphism classes of pairs where is a compact metric space and $P…
On instability of global path properties of symmetric Dirichlet forms under Mosco-convergence
Kohei Suzuki, Toshihiro Uemura
We give sufficient conditions for Mosco convergences for the following three cases: symmetric locally uniformly elliptic diffusions, symmetric Lévy processes, and symmetric jump pr…
Convergences and projection Markov property of Markov processes on ultrametric spaces
Kohei Suzuki
Let be an ultrametric space with certain conditions and be the quotient space of with respect to the partition by balls with a fixed radius . We prove that,…