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Browsing Pure Mathematics by Author "Adams, David Henry"
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Item Metadata only Axial anomaly and topological charge in lattice gauge theory with overlap dirac operator(Academic Press Inc, 2002) Adams, David HenryItem Metadata only Dirac operator index and topology of lattice gauge fields(Physical Society of the Republic of China, 2000) Adams, David HenryItem Metadata only Families index theory for Overlap lattice Dirac operator. I(Elsevier Science BV, 2002) Adams, David HenryThe index bundle of the Overlap lattice Dirac operator over the orbit space of lattice gauge fields is introduced and studied. Obstructions to the vanishing of gauge anomalies in the Overlap formulation of lattice chiral gauge theory have a natural description in this context. Our main result is a formula for the topological charge (integrated Chern character) of the index bundle over even-dimensional spheres in the orbit space. It reduces under suitable conditions to the topological charge of the usual (continuum) index bundle in the classical continuum limit (this is announced and sketched here; the details will be given in a forthcoming paper). Thus we see that topology of the index bundle of the Dirac operator over the gauge field orbit space can be captured in a finite-dimensional lattice setting.Item Metadata only Families index theory, gauge fixing, and topology of the space of lattice-gauge fields: a summary(Elsevier Science BV, 2002) Adams, David HenryItem Metadata only Global obstructions to gauge-invariance in chiral gauge theory on the lattice(ELSEVIER SCIENCE BV, 2000) Adams, David HenryItem Metadata only Introduction to Chern-Simons gauge theory on general 3-manifolds(World Scientific, 2000) Adams, David Henry; School of Mathematical Sciences : Pure MathematicsItem Open Access On the continuum limit of fermionic topological charge in lattice gauge theory(American Institute of Physics, 2001) Adams, David HenryItem Metadata only A remark of Schwarz's topological field theory(Kluwer Academic Publishers, 2000) Adams, David Henry; Prodanov, E. M.