
Physics 2002
Vacuum Expectation Value of the Higgs Field and Dyon Charge Quantisation from Spacetime Dependent LagrangiansDOI: 10.1142/S0217732303009289 Abstract: The spacetime dependent lagrangian formalism of references [12] is used to obtain is used to obtain a classical solution of YangMills theory. This is then used to obtain an estimate of the vacuum expectation value of the Higgs field,{\it viz.} $\phi_{a}=A/e$, where $A$ is a constant and $e$ is the YangMills coupling (related to the usual electric charge).The solution can also accommodate noncommuting coordinates on the boundary of the theory which may be used to construct $D$brane actions. The formalism is also used to obtain the DeserGomberoffHenneauxTeitelboim 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
