Connection between Tomboulis vortices and projection vortices
A. Alexandru, Richard W. Haymaker
TL;DR
This paper investigates the relationship between Tomboulis vortices and projection vortices in SU(2) gauge theories, expressing observables of one in terms of the other and analyzing their correlations.
Contribution
It establishes a method to relate Tomboulis SO(3)xZ(2) vortices to SU(2) configurations and compares their vortex counters to find correlations.
Findings
Monopole and vortex observables expressed across formalisms
Measured correlations between Tomboulis and projection vortices
Identified potential links between different vortex definitions
Abstract
By using the freedom of picking a representative we explore connections between the Tomboulis SO(3)xZ(2) form of the partition function and the SU(2) form. We are able to express the monopole and vortex observables of the former in terms of configurations of the latter. Also we can measure Tomboulis and projection vortex counters on the same configuration to search for correlations.
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