English

The Transition Amplitude for 2T Physics

High Energy Physics - Theory 2014-11-20 v3

Abstract

We present the transition amplitude for a particle moving in a space with two times and D space dimensions having a Sp(2,R) local symmetry and an SO(D,2) rigid symmetry. It was obtained from the BRST-BFV quantization with a unique gauge choice. We show that by constraining the initial and final points of this amplitude to lie on some hypersurface of the D+2 space the resulting amplitude reproduces well known systems in lower dimensions. This provides an alternative physical interpretation for two times physics which is derived in a single framework.

Keywords

Cite

@article{arxiv.1002.1263,
  title  = {The Transition Amplitude for 2T Physics},
  author = {Joao E. Frederico and Victor O. Rivelles},
  journal= {arXiv preprint arXiv:1002.1263},
  year   = {2014}
}

Comments

4 pages, typos corrected, references added

R2 v1 2026-06-21T14:43:55.142Z