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SU(2) Yang–Mills Theory: Waves, Particles, and Quantum Thermodynamics

Hofmann, Ralf

Abstract (englisch):
We elucidate how Quantum Thermodynamics at temperature T emerges from pure and classical SU(2)
SU(2) Yang–Mills theory on a four-dimensional Euclidean spacetime slice S1×R3.The concept of a (deconfining) thermal ground state, composed of certain solutions to the fundamental, classical Yang–Mills equation, allows for a unified addressation of both (classical) wave- and (quantum) particle-like excitations thereof. More definitely, the thermal ground state represents the interplay between nonpropagating, periodic configurations which are electric-magnetically (anti)selfdual in a non-trivial way and possess topological charge modulus unity. Their trivial-holonomy versions—Harrington–Shepard (HS) (anti)calorons—yield an accurate a priori estimate of the thermal ground state in terms of spatially coarse-grained centers, each containing one quantum of action ℏ localized at its inmost spacetime point, which induce an inert adjoint scalar field ϕ ( |ϕ| spatio-temporally constant). The field ϕ , in turn, implies an effective pure-gauge configuration, a gs μ , accurately describing HS (anti)caloron overlap. Spatial homogeneity of the thermal ground-state estimate ϕ,a gs μ demands that (anti)caloron centers are densely packed, thus representing a collective departure from (anti)selfduality. ... mehr

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DOI: 10.5445/IR/1000059429
DOI: 10.3390/e18090310
Zitationen: 7
Web of Science
Zitationen: 8
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Photonenforschung und Synchrotronstrahlung (IPS)
Publikationstyp Zeitschriftenaufsatz
Publikationsjahr 2016
Sprache Englisch
Identifikator ISSN: 1099-4300
KITopen-ID: 1000059429
Erschienen in Entropy
Band 18
Heft 9
Seiten 310
Bemerkung zur Veröffentlichung Gefördert durch den KIT-Publikationsfonds
Schlagwörter Harrington–Shepard caloron; (anti)selfduality; electric and magnetic dipole densities; vacuum permittivity and permeability; Poincaré group; quantum of action; Boltzmann weight; Bose–Einstein distribution function
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