Evolving center-vortex loops

Abstract

We consider coarse-graining applied to nonselfintersecting planar center-vortex loops as they emerge in the confining phase of an SU(2) Yang-Mills theory. Well-established properties of planar curve-shrinking predict that a suitably defined, geometric effective action exhibits (mean-field) critical behavior when the conformal limit of circular points is reached. This suggests the existence of an asymptotic mass gap. We demonstrate that the initially sharp mean center-of-mass position in a given ensemble of curves develops a variance under the flow as is the case for a position eigenstate in free-particle quantum mechanics under unitary time evolution. A possible application of these concepts is an approach to high-$T_c$ superconductivity based (a) on the nonlocal nature of the electron (1-fold selfintersecting center-vortex loop) and (b) on planar curve-shrinking flow representing the decrease in thermal noise in a cooling cuprate.

15 pages, 8 figures

References in corpus (6)

• Nonperturbative approach to Yang-Mills thermodynamics
• A Planck-scale axion and SU(2) Yang-Mills dynamics: Present acceleration and the fate of the photon
• Present status of the theory of high Tc cuprates
• Yang-Mills thermodynamics
• Explosive Z Pinch
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Cited by in corpus (6)

• The quantum of action and finiteness of radiative corrections: Deconfining SU(2) Yang-Mills thermodynamics
• Electroweak parameters from mixed SU(2) Yang-Mills Thermodynamics
• Center-vortex loops with one selfintersection
• Bursts of low-energy electron-positron pairs in TeV-range collider physics
• Charged lepton spectra from hot-spot evaporation
• Finite- and infinite-volume thermodynamics around the zero of the pressure in deconfining SU(2) Quantum Yang-Mills theory