Research Articles

General Relativity and Gravitation

, Volume 1, Issue 1, pp 9-18

First online:

Self-interaction and gauge invariance

  • S. DeserAffiliated withPhysics Department, Brandeis University

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A simple unified closed form derivation of the non-linearities of the Einstein, Yang-Mills and spinless (e.g. chiral) meson systems is given. For the first two, the non-linearities are required by locality and consistency; in all cases, they are determined by the conserved currents associated with the initial (linear) gauge invariance of the first kind. Use of first-order formalism leads uniformly to a simple cubic self-interaction.