Transition amplitude for two-time physics

Journal Article · Thu Jul 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.021701· OSTI ID:21410085

Frederico, Joao E; Rivelles, Victor O ^[1]

---

1. Universidade Federal de Mato Grosso, Deptartamento de Matematica, Instituto de Ciencias Exatas e Naturais, 78735-910, Rondonopolis, MT (Brazil)

We present the transition amplitude for a particle moving in a space with two times and D space dimensions having an 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 work provides an alternative way to derive the effects of two-time physics where all the results come from a single transition amplitude.

• OSTI ID: 21410085
• Journal Information: Physical Review. D, Particles Fields, Vol. 82, Issue 2; Other Information: DOI: 10.1103/PhysRevD.82.021701; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
GAUGE INVARIANCE
PARTICLES
QUANTIZATION
SIMULATION
SO GROUPS
SYMMETRY
TRANSITION AMPLITUDES
AMPLITUDES
INVARIANCE PRINCIPLES
LIE GROUPS
SYMMETRY GROUPS