Quantum weights of monopoles and calorons with non-trivial holonomy

Conference · Sat May 01 04:00:00 EDT 2004

OSTI ID:836557

Diakonov, Dmitri

The functional determinant is computed exactly for quantum oscillations about periodic instantons with non-trivial values of the Polyakov line at spatial infinity (or holonomy). Such instantons can be viewed as composed of the Bogomolnyi--Prasad--Sommerfeld (BPS) monopoles or dyons. We find the weight or the probability with which dyons occur in the pure Yang--Mills partition function. It turns out that dyons experience quantum interactions having the familiar ''linear plus Coulomb'' form but with the ''string tension'' depending on the holonomy. We present an argument that at temperatures below the critical one computed from Lambda{sub QCD}, trivial holonomy becomes unstable, with instantons ''ionizing'' into separate dyons. It may serve as a microscopic mechanism of the confinement-deconfinement phase transition.

• Research Organization: Thomas Jefferson National Accelerator Facility, Newport News, VA (US)
• Sponsoring Organization: US Department of Energy; USDOE Office of Energy Research (ER) (US)
• DOE Contract Number: AC05-84ER40150
• OSTI ID: 836557
• Report Number(s): JLAB-THY-04-62; DOE/ER/40150-3106; hep-ph/0407353
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DYONS
FUNCTIONALS
INSTANTONS
MONOPOLES
OSCILLATIONS
PARTITION FUNCTIONS
PROBABILITY
QUANTUM CHROMODYNAMICS