Yang-Mills theory a la string

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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7 pages

Scientific paper

10.1007/s10714-007-0450-2

A surface of codimension higher than one embedded in an ambient space possesses a connection associated with the rotational freedom of its normal vector fields. We examine the Yang-Mills functional associated with this connection. The theory it defines differs from Yang-Mills theory in that it is a theory of surfaces. We focus, in particular, on the Euler-Lagrange equations describing this surface, introducing a framework which throws light on their relationship to the Yang-Mills equations.

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