28 citations · 80 across the 18 of their papers we have counts for
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Phase diagram of 4D SU(3) Yang-Mills theory at via imaginary theta simulations
Akira Matsumoto, Mitsuaki Hirasawa, Jun Nishimura +1
It has been speculated that the CP symmetry of 4D SU(3) Yang-Mills theory at is spontaneously broken in the confined phase, and it is recovered precisely at the deconfining t…
Numerical evidence for a CP broken deconfined phase at in 4D SU(2) Yang-Mills theory through simulations at imaginary
Mitsuaki Hirasawa, Masazumi Honda, Akira Matsumoto +2
We investigate the possibility of the spontaneous breaking of CP symmetry in 4D SU(2) Yang-Mills at , which has recently attracted much attention in the context of the higher-…
Toward tensor renormalization group study of lattice QCD
Atis Yosprakob
The tensor renormalization group is a promising complementary approach to traditional Monte Carlo methods for lattice systems, as it is inherently free from the sign problem. We di…
Tensor renormalization group study of the three-dimensional SU(2) and SU(3) gauge theories with the reduced tensor network formulation
Atis Yosprakob, Kouichi Okunishi
We perform a tensor renormalization group simulation of non-Abelian gauge theory in three dimensions using a formulation based on the `armillary sphere.' In this formulation, matri…
Preconditioned flow as a solution to the hierarchical growth problem in the generalized Lefschetz thimble method
Jun Nishimura, Katsuta Sakai, Atis Yosprakob
The generalized Lefschetz thimble method is a promising approach that attempts to solve the sign problem in Monte Carlo methods by deforming the integration contour using the flow…
Determination of the CP restoration temperature at in 4D SU(2) Yang-Mills theory through simulations at imaginary
Mitsuaki Hirasawa, Kohta Hatakeyama, Masazumi Honda +3
The 't Hooft anomaly matching condition provides constraints on the phase structure at in 4D SU() Yang-Mills theory. In particular, assuming that the theory is confined an…
A new technique to incorporate multiple fermion flavors in tensor renormalization group method for lattice gauge theories
Atis Yosprakob, Jun Nishimura, Kouichi Okunishi
We propose a new technique to incorporate multiple fermion flavors in the tensor renormalization group method for lattice gauge theories, where fermions are treated by the Grassman…
Numerical studies on the finite-temperature CP restoration in 4D SU(N) gauge theory at
Akira Matsumoto, Kohta Hatakeyama, Mitsuaki Hirasawa +3
Recent studies on the 't Hooft anomaly matching condition have suggested a nontrivial phase structure in 4D SU() gauge theory at . In the large- limit, it has been found…
A new technique for solving the freezing problem in the complex Langevin simulation of 4D SU(2) gauge theory with a theta term
Akira Matsumoto, Kohta Hatakeyama, Mitsuaki Hirasawa +4
We apply the complex Langevin method (CLM) to overcome the sign problem in 4D SU(2) gauge theory with a theta term extending our previous work on the 2D U(1) case. The topology fre…
Backpropagating Hybrid Monte Carlo algorithm for fast Lefschetz thimble calculations
Genki Fujisawa, Jun Nishimura, Katsuta Sakai +1
The Picard-Lefschetz theory has been attracting much attention as a tool to evaluate a multi-variable integral with a complex weight, which appears in various important problems in…
Tensor renormalization group and the volume independence in 2D U() and SU() gauge theories
Mitsuaki Hirasawa, Akira Matsumoto, Jun Nishimura +1
The tensor renormalization group method is a promising approach to lattice field theories, which is free from the sign problem unlike standard Monte Carlo methods. One of the remai…
Complex Langevin analysis of 2D U(1) gauge theory on a torus with a term
Mitsuaki Hirasawa, Akira Matsumoto, Jun Nishimura +1
Monte Carlo simulation of gauge theories with a term is known to be extremely difficult due to the sign problem. Recently there has been major progress in solving this problem…