The Savvidy ``ferromagnetic vacuum'' in three-dimensional lattice gauge theory

Details The Savvidy ``ferromagnetic vacuum'' in three-dimensional lattice gauge theory The Savvidy ``ferromagnetic vacuum'' in three-dimensional lattice gauge theory

1992-10-23

arxiv.org/abs/hep-lat/9210028v1

Phys.Rev.Lett. 70 (1993) 2053-2057

Physics

High Energy Physics

High Energy Physics - Lattice

9pp (REVTEX manuscript). Postscript figures appended

Scientific paper

10.1103/PhysRevLett.70.2053

The vacuum effective potential of three-dimensional SU(2) lattice gauge theory in an applied color-magnetic field is computed over a wide range of field strengths. The background field is induced by an external current, as in continuum field theory. Scaling and finite volume effects are analyzed systematically. The first evidence from lattice simulations is obtained of the existence of a nontrivial minimum in the effective potential. This supports a ``ferromagnetic'' picture of gluon condensation, proposed by Savvidy on the basis of a one-loop calculation in (3+1)-dimensional QCD.

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