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

Journal Article · Mon Apr 05 00:00:00 EDT 1993 · Physical Review Letters; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.70.2053· OSTI ID:6710100

Trottier, H D; Woloshyn, R M ^[1]

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1. TRIUMF, 4004 Wesbrook Mall, Vancouver, British Columbia, V6T 2A3 (Canada)

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.

• OSTI ID: 6710100
• Journal Information: Physical Review Letters; (United States), Journal Name: Physical Review Letters; (United States) Vol. 70:14; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

662230* -- Quantum Chromodynamics-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FERROMAGNETISM
FIELD THEORIES
LATTICE FIELD THEORY
LIE GROUPS
MAGNETIC FIELDS
MAGNETISM
POTENTIALS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
THREE-DIMENSIONAL CALCULATIONS
VACUUM STATES