Constraints on Interacting Scalars in 2T Field Theory and No Scale Models in 1T Field Theory

Details Constraints on Interacting Scalars in 2T Field Theory and No Scale Models in 1T Field Theory Constraints on Interacting Scalars in 2T Field Theory and No Scale Models in 1T Field Theory

2010-08-09

arxiv.org/abs/1008.1540v2

Phys.Rev.D82:125025,2010

Physics

High Energy Physics

High Energy Physics - Theory

22 pages. Footnote 14 added in v2

Scientific paper

10.1103/PhysRevD.82.125025

In this paper I determine the general form of the physical and mathematical restrictions that arise on the interactions of gravity and scalar fields in the 2T field theory setting, in d+2 dimensions, as well as in the emerging shadows in d dimensions. These constraints on scalar fields follow from an underlying Sp(2,R) gauge symmetry in phase space. Determining these general constraints provides a basis for the construction of 2T supergravity, as well as physical applications in 1T-field theory, that are discussed briefly here, and more detail elsewhere. In particular, no scale models that lead to a vanishing cosmological constant at the classical level emerge naturally in this setting.

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