Abstract:
The existence of a local solution to the Sp(2) master equation for the gauge field theory is proved in the perturbation theory under standard regularity assumptions for the action. The arbitrariness of solutions to the Sp(2) master equation is described, provided they are proper. The effective action can be chosen to be Sp(2) invariant and (under the additional assumption that the gauge transformation generators are Lorentz tensors) Lorentz invariant.
Citation:
I. V. Tyutin, Sh. S. Shakhverdiev, “Space-time locality in the Sp(2)-symmetric Lagrangian formalism”, TMF, 115:3 (1998), 373–388; Theoret. and Math. Phys., 115:3 (1998), 658–669