  We construct a field theoretic version of 2T-physics including interactions
in an action formalism. The approach is a BRST formulation based on the
underlying Sp(2,R)gauge symmetry, and shares some similarities with the
approach used to construct string field theory. In our first case of spinless
particles, the interaction is uniquely determined by the BRST gauge symmetry,
and it is different than the Chern-Simons type theory used in open string field
theory. After constructing a BRST gauge invariant action for 2T-physics field
theory with interactions in d+2 dimensions, we study its relation to standard
1T-physics field theory in (d-1)+1 dimensions by choosing gauges. In one gauge
we show that we obtain the Klein-Gordon field theory in (d-1)+1 dimensions with
unique SO(d,2) conformal invariant self interactions at the classical field
level. This SO(d,2) is the natural linear Lorentz symmetry of the 2T field
theory in d+2 dimensions. As indicated in Fig.1, in other gauges we expect to
derive a variety of SO(d,2)invariant 1T-physics field theories as gauge fixed
forms of the same 2T field theory, thus obtaining a unification of 1T-dynamics
in a field theoretic setting, including interactions. The BRST gauge
transformation should play the role of duality transformations among the
1T-physics holographic images of the same parent 2T field theory. The
availability of a field theory action opens the way for studying 2T-physics
with interactions at the quantum level through the path integral approach.
