Self-interaction and gauge invariance

By S. Deser. 2004

423 citations recorded by the source corpus.

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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/c90f55b2834e004e1a62c20f166adceddc50394f

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Citations in the corpus

Consistency Conditions on the S-Matrix of Massless Particles (2007, background): “Examples of fully constructible theories are Yang-Mills [19] and General Relativity [20, 21, 22] (the fact that cubic couplings could play a key role in Yang-Mills theory and General Relativity was already understood in [23, 24]).”
Theoretical Aspects of Massive Gravity (2011, background): “These requirements are strong enough to force the interactions to be those obtained from expanding the Einstein-Hilbert term [4, 5, 6, 7, 8, 9, 10].”
A systematic approach to generalisations of General Relativity and their cosmological implications (2018, methodology): “This is Deser’s approach of the bootstrapping procedure [130], that we shall quickly review.”
Massive Gravity (2014, background): “[287, 483, 175, 225, 76] for the uniqueness of GR for the theory of a massless spin-2 field).”
Universality of Gravity from Entanglement (2014, background): “Feynman, “Lectures on Gravitation,” California Institute of Technology Lecture Notes, 1962 [17] S.”