Two Time Physics with a Minimum Length

Details Two Time Physics with a Minimum Length Two Time Physics with a Minimum Length

2006-07-06

arxiv.org/abs/hep-th/0607042v2

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

We study the possibility of introducing the classical analogue of Snyder's Lorentz-covariant noncommutative space-time in two-time physics theory. In the free theory we find that this is possible because there is a broken local scale invariance of the action. When background gauge fields are present, they must satisfy certain conditions very similar to the ones first obtained by Dirac in 1936. These conditions preserve the local and global invariances of the action and leads to a Snyder space-time with background gauge fields.

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