Hausdorff dimension of quark trajectories from SCSB and confinement

Journal Article · Mon May 23 00:00:00 EDT 2011 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3574989· OSTI ID:21513279

Antonov, D

The quark condensate is calculated using the effective-action formalism, by imposing an ansatz for the Wilson loop, which interpolates between the area-law for large loops and the area-squared law for small loops. For 3 colors and 2 light flavors, a lower bound of 460 MeV for the constituent quark mass is found to be accessible, provided an effective scale-dependent string tension of a light quark falls off linearly with the Schwinger proper time. This behavior of the effective string tension yields the Hausdorff dimension of a light-quark trajectory equal to 4, which shows that these trajectories are similar to branched polymers. A gluonic chain based on such trajectories provides an example of a model describing weak first-order deconfinement phase transition, which takes place in SU(3) Yang-Mills theory.

• OSTI ID: 21513279
• Journal Information: AIP Conference Proceedings, Vol. 1343, Issue 1; Conference: QCHS 9: 9. international conference on quark confinement and the hadron spectrum, Madrid (Spain), 30 Aug - 3 Sep 2010; Other Information: DOI: 10.1063/1.3574989; (c) 2011 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

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