Spacetime locality in Sp(2) symmetric lagrangian formalism
Shervgi S. Shahverdiyev, I. V. Tyutin
TL;DR
This paper proves the existence of local solutions to the Sp(2) master equation in gauge field theory within perturbation theory, highlighting the conditions for solution arbitrariness and invariance properties.
Contribution
It establishes the existence of local solutions to the Sp(2) master equation and discusses their arbitrariness and invariance in gauge theories.
Findings
Existence of local solutions proven under standard assumptions.
Arbitrariness of solutions characterized for proper solutions.
Effective action can be made Sp(2) and Lorentz invariant.
Abstract
The existence of a local solution to the Sp(2) master equation for gauge field theory is proven in the framework of perturbation theory and under standard assumptions on regularity of the action. The arbitrariness of solutions to the Sp(2) master equation is described, provided that they are proper. It is also shown that the effective action can be chosen to be Sp(2) and Lorentz invariant (under the additional assumption that the gauge transformation generators are Lorentz tensors).
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