English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

This paper is a study of some of the critical properties of a simple modelfor flux. The model is motivated by gauge theory and is equivalent to the Isingmodel in three dimensions. The phase with condensed flux is studied. This isthe ordered phase of the Ising model and the high temperature, deconfined phaseof the gauge theory. The flux picture will be used in this phase. Near thetransition, the density is low enough so that flux variables remain useful.There is a finite density of finite flux clusters on both sides of the phasetransition. In the deconfined phase, there is also an infinite, percolatingnetwork of flux with a density that vanishes as $T \rightarrow T_{c}^{+}$. Onboth sides of the critical point, the nonanalyticity in the total flux densityis characterized by the exponent $(1-\alpha)$. The main result of this paper isa calculation of the critical exponent for the percolating network. Theexponent for the density of the percolating cluster is $ \zeta = (1-\alpha) -(\varphi-1)$. The specific heat exponent $\alpha$ and the crossover exponent$\varphi$ can be computed in the $\epsilon$-expansion. Since $\zeta <(1-\alpha)$, the variation in the separate densities is much more rapid thanthat of the total. Flux is moving from the infinite cluster to the finiteclusters much more rapidly than the total density is decreasing.Comment: 20 pages, no figures, Latex/Revtex 3, UCD-93-2

Critical exponent for the density of percolating flux