Polarizable Media in Classical Gluodynamics and the SU2 Vacuum

  • John P. Ralston
  • Dennis Sivers
Part of the Progress in Physics book series (PMP, volume 8)


The description of a polarizable medium, interacting with non-Abelian gauge fields can be formulated in a simple, gaugeinvariant manner. Working with a Euclidean-space version of an SU2 gauge-theory, we find a solution to the resulting field equations with “vacuun-like” properties:
  1. 1.

    E i a B i a =0

  2. 2.

    E i a E i a + B i a B i a constant

  3. 3.

    Area law behavior for Wilson loops formed from the classical fields.


It is possible to express the vector potential, field strength tensor and induced current in various gauges using staple analytic expressions.


Wilson Loop Polarizable Medium Induce Polarization Quantum Fluctuation Gluon Condensation 
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Copyright information

© Birkhäuser Boston, Inc. 1983

Authors and Affiliations

  • John P. Ralston
    • 1
  • Dennis Sivers
    • 1
  1. 1.Argonne National LaboratoryHigh Energy Physics DivisionArgonneUSA

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