1999
DOI: 10.1016/s0920-5632(99)85136-6
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Magnetic monopole content of hot instantons

Abstract: We study the Abelian projection of an instanton in R 3 × S 1 as a function of temperature (T) and non-trivial holonomic twist (ω) of the Polyakov loop at infinity. These parameters interpolate between the circular monopole loop solution at T = 0 and the static 't Hooft-Polyakov monopole/anti-monopole pair at high temperature.

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Cited by 17 publications
(26 citation statements)
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References 4 publications
(6 reference statements)
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“…Note that these locations are part of the LCG vortex surface by definition. Similar monopole worldlines have been obtained in the MAG [8,32]. Adjoint fermionic zero modes, on the other hand, detect the constituent dyons by maxima [33].…”
Section: A the Lowest Eigenvector And The Lag Monopolessupporting
confidence: 78%
“…Note that these locations are part of the LCG vortex surface by definition. Similar monopole worldlines have been obtained in the MAG [8,32]. Adjoint fermionic zero modes, on the other hand, detect the constituent dyons by maxima [33].…”
Section: A the Lowest Eigenvector And The Lag Monopolessupporting
confidence: 78%
“…To complete the analysis of the ground-state dynamics the Yang-Mills equations 1 for the (coarse-grained) gauge fields in the topologically trivial sector is solved subject to a source term provided by φ: A pure-gauge solution exists which shifts the vanishing energy density and pressure due to the noninteracting, BPS saturated caloron and anticaloron to finite values, P gs = −ρ gs = −4πΛ 3 T . Microscopically, the negative ground state pressure is due to the (anti)caloron's holonomy shift by gluon exchange generating a constituent monopole and antimonopole [4,5,6,7,8] subject to a mutual force induced by quantum fluctuations [9]. Notice that attraction is much more likely than repulsion [1] explaining the negative ground-state pressure that emerges after spatial coarse-graining.…”
Section: Introductionmentioning
confidence: 99%
“…But for ρ/β ≫ 1 the situation is opposite; the instanton becomes static and will dissolve in two BPS monopoles [6,7]. The transition occurs [8,9] for 1 2 β < ρ < β. When, however, the holonomy is trivial one of the monopoles is massless and will hide in the background.…”
Section: Introductionmentioning
confidence: 99%