1995/12/19 by Hideo Suganuma, Ken Itakura, Suganuma, H. +5
Physics and Astronomy · #Atomic and Subatomic Physics Research #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Quantum, superfluid, helium dynamics
paper · pdf · doi:10.48550/arxiv.hep-ph/9512347
openalex publication_date 1995/12/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
The correlation between instantons and QCD-monopoles is studied both in the lattice gauge theory and in the continuum theory. From a simple topological consideration, instantons are expected to live only around the QCD-monopole trajectory in the abelian gauge. First, the instanton solution is analytically studied in the Polyakov-like gauge, where A4(x) is diagonalized. The world line of the QCD-monopole is found to be penetrate the center of each instanton inevitably. For the single-instanton solution, the QCD-monopole trajectory becomes a simple straight line. On the other hand, in the multi-instanton system, the QCD-monopole trajectory often has complicated topology including a loop or a folded structure, and is unstable against a small fluctuation of the location and the size of instantons. We also study the thermal instanton system in the Polyakov-like gauge. At the high-temperature limit, the monopole trajectory becomes straight lines in the temporal direction. The topology of the QCD-monopole trajectory is drastically changed at a high temperature. Second, the correlation between instantons and QCD-monopoles is studied in the maximally abelian (MA) gauge and/or the Polyakov gauge using the SU(2) lattice with 164. The abelian link variable uμ(s) is decomposed into the singular (monopole-dominating) part uμDs(s) and the regular (photon-dominating) part uμPh(s). The instanton numbers, Q(\rm Ds) and Q(\rm Ph), are measured using the SU(2) variables, UμDs(s) and UμPh(s), which are reconstructed by multiplying the off-diagonal matter factor to uμDs(s) and uμPh(s), respectively. A strong correlation is found between Q(\rm Ds) in the singular part and the ordinary topological charge Q(\rm SU(2)) even after the Cabibbo-Marinari