Construction of nonlinear σ-models in two and higher space-dimensions

✍ Scribed by A. Kundu

• Publisher: Elsevier Science
• Year: 1982
• Tongue: English
• Weight: 571 KB
• Volume: 139
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1016/0003-4916(82)90004-5

✦ Synopsis

An algorithm

for constructing nonlinear o-models in arbitrary space-dimensions m (m > 2)

is proposed and Hamiltonian estimates are found through the degree of mapping.

The field models are constructed in general forms and the scaling-neutral models are shown to have exact soliton solutions which are (anti) self-dual when the corresponding topological charge is the degree of mapping.

All known field models are shown to be particular cases of the general models proposed.

which also give new models not investigated before.