Interacting Two-Time Physics Field Theory With a BRST Gauge Invariant Action

Abstract

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.

22 pages, 1 figure, v3 includes corrections of typos and some comments

References in corpus (13)

• Gauged Duality, Conformal Symmetry, and Spacetime with Two Times
• Survey of Two-Time Physics
• The Standard Model of Particles and Forces in the Framework of 2T-physics
• Conformal Symmetry and Duality between Free Particle, H-atom and Harmonic Oscillator
• Two-Time Physics in Field Theory
• High Spin Gauge Fields and Two-Time Physics
• Hidden Symmetries, AdS_D x S^n, and the lifting of one-time-physics to two-time-physics
• Two-Time Physics with gravitational and gauge field backgrounds
• Conformal Field Theory in Conformal Space
• Noncommutative Sp(2,R) Gauge Theories - A Field Theory Approach to Two-Time Physics
• U*(1,1) Noncommutative Gauge Theory As The Foundation of 2T-Physics in Field Theory
• 2T-Physics 2001
• BRST Field Theory of Relativistic Particles

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• Dualities among 1T-Field Theories with Spin, Emerging from a Unifying 2T-Field Theory
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