Vacuum Expectation Value of the Higgs Field and Dyon Charge Quantisation from Spacetime Dependent Lagrangians

Abstract

The spacetime dependent lagrangian formalism of references [1-2] is used to obtain is used to obtain a classical solution of Yang-Mills theory. This is then used to obtain an estimate of the vacuum expectation value of the Higgs field,{\it viz.} ${\varphi }_a=A/e$, where $A$ is a constant and $e$ is the Yang-Mills coupling (related to the usual electric charge).The solution can also accommodate non-commuting coordinates on the boundary of the theory which may be used to construct $D$-brane actions. The formalism is also used to obtain the Deser-Gomberoff-Henneaux-Teitelboim results [10] for dyon charge quantisation in abelian $p$-form theories in dimensions $D=2(p+1)$ for both even and odd $p$. PACS: 11.15.-q,11.27.+d,11.10.Ef

Latex, 15 pages, a comprehensive paper incorporating material of hep-th/0210051, hence title and abstracts modified, typos corrected

References in corpus (5)

• The Holographic Bound in Anti-de Sitter Space
• p-Brane Dyons and Electric-magnetic Duality
• p-brane Dyons, theta-terms and Dimensional Reduction
• Spacetime Dependent Lagrangians and the Barriola-Vilenkin Monopole Mass
• Spacetime Dependent Lagrangians and Weak-Strong Duality : Sine Gordon and Massive Thirring Models