Instanton, Monopole and Confinement
Shoichi Sasaki, Masahiro Fukushima, Atsunori Tanaka, Hideo Suganuma, Hiroshi Toki, Osamu Miyamura, Dmitri Diakonov
Abstract
We study the correlation between instantons and QCD-monopoles both in the lattice gauge theory and in the multi-instanton system using the maximally abelian gauge. First, we find the existence of an almost linear correlation between the total length of monopole trajectories and the total number of pseudoparticles (instantons and anti-instantons) in the 163×4 SU(2) lattice. Second, we study the features of QCD-monopole in the SU(2) multi-instanton vacuum on the 164 lattice as a random ensemble of pseudoparticles. A signal of monopole condensation is found as the clustering of monopole trajectories, when the topological pseudoparticles is sufficiently dense.
Create a lesson
Related papers
Efficient Quantum Simulations of Yang-Mills theory with Maximal-tree Gauge
Tianyin Li, Ying-Ying Li, Xiaoyang Wang et al.
Physics-informed quantum algorithms for glueball-like excitations in a Z2 lattice gauge theory
Dan-Bo Zhang
Anomalous behavior of Wilson fermions in the presence of monopoles
Manuel Cortina, Rajamani Narayanan, Ray Romero
Direct lattice QCD calculation of the θ-induced CP-violating pion-nucleon coupling
Chuan-Yang Li, Jun Hua, Jian Liang et al.
Calculation of neutron electric dipole moment from Lattice QCD
Thomas Blum, Fangcheng He, Taku Izubuchi et al.
Exponential-in-Nc2 cost reduction of product-formula-based quantum simulations of quantum chromodynamics
Zohreh Davoudi, Jesse R. Stryker