Evolving center-vortex loops

DOI10.5402/2012/236783zbMATH Open1243.81119arXiv0804.3527OpenAlexW1966579237WikidataQ58690286 ScholiaQ58690286MaRDI QIDQ429703

Julian Moosmann, Ralf Hofmann

Publication date: 20 June 2012

Published in: ISRN Mathematical Physics (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/0804.3527

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Statistical mechanics of superconductors (82D55)

Cites Work