Magnetic monopole loop for the Yang-Mills instanton

Journal Article · Thu May 01 04:00:00 EDT 1997 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.55.6313· OSTI ID:503753

Brower, R C ^[1]; Orginos, K N; Tan, C ^[2]

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1. Center for Theoretical Physics, MIT, Cambridge, Massachusetts 02139 (United States)
2. Department of Physics, Brown University, Providence, Rhode Island 02912 (United States)

We investigate {close_quote}t Hooft{endash}Mandelstam monopoles in QCD in the presence of a single classical instanton configuration. The solution to the maximal Abelian projection is found to be a circular monopole trajectory with radius R centered on the instanton. At zero loop radius, there is a marginally stable (or flat) direction for loop formation to O(R{sup 4}lnR). We argue that loops will form, in the semiclassical limit, due to small perturbations such as the dipole interaction between instanton{endash}anti-instanton pairs. As the instanton gas becomes a liquid, the percolation of the monopole loops may, therefore, provide a semiclassical precursor to the confinement mechanism. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 503753
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 10 Vol. 55; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
BAG MODEL
CONFINEMENT
INSTANTONS
LATTICE FIELD THEORY
MAGNETIC MONOPOLES
QUANTUM CHROMODYNAMICS
SEMICLASSICAL APPROXIMATION
TRAJECTORIES
YANG-MILLS THEORY