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Current Exchanges and Unconstrained Higher Spins.

Dario Francia (Institutionen för fundamental fysik) ; Jihad Mourad ; Augusto Sagnotti
Nuclear Physics B Vol. B773 (2007), p. 203-237.
[Artikel, refereegranskad vetenskaplig]

The (Fang-)Fronsdal formulation for free fully symmetric (spinor-) tensors rests on (gamma-)trace constraints on gauge fields and parameters. When these are relaxed, glimpses of the underlying geometry emerge: the field equations extend to non-local expressions involving the higher-spin curvatures, and with only a pair of additional fields an equivalent ``minimal'' local formulation is also possible. In this paper we complete the discussion of the ``minimal'' formulation for fully symmetric (spinor-) tensors, constructing one-parameter families of Lagrangians and extending them to (A)dS backgrounds. We then turn on external currents, that in this setting are subject to conventional conservation laws and, by a close scrutiny of current exchanges in the various formulations, we clarify the precise link between the local and non-local versions of the theory. To this end, we first show the equivalence of the constrained and unconstrained local formulations, and then identify a unique set of non-local Lagrangian equations which behave in exactly the same fashion in current exchanges.

Nyckelord: Field Theory, Higher spins

Denna post skapades 2008-01-18. Senast ändrad 2008-09-03.
CPL Pubid: 67452


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Institutionen för fundamental fysik (2005-2015)



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