Stability in {Yang-Mills} Theories - INSPIRE

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Stability in {Yang-Mills} Theories

Clifford Henry Taubes
(
- Harvard U.
)

Jul, 1983

47 pages

Published in:

Commun.Math.Phys. 91 (1983) 235

DOI:

10.1007/BF01211160

Report number:

HUTMP-83-B136

reference search40 citations

Citations per year

Abstract: (Springer)

At a solution of the Yang-Mills equations onS4, or the Yang-Mills-Higgs equation on ℝ3, the hessian of the action functional defines a natural second order, elliptic operator. The number of negative eigenvalues of this operator is bounded below by a multiple of the relevant topological charge. The proof of this assertion requires a relative index theorem for Dirac-type operators on ℝn,n≧3.

GAUGE FIELD THEORY: YANG-MILLS
CHARGE: TOPOLOGICAL
FIELD EQUATIONS
GAUGE FIELD THEORY: SU(2)
GAUGE FIELD THEORY: OPERATOR ALGEBRA
AXIOMATIC FIELD THEORY

References(20)

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