REPRESENTATIONS OF THE LORENTZ GROUP CORRESPONDING TO UNSTABLE PARTICLES

Journal Article · Sun Sep 15 04:00:00 EDT 1963 · Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D

DOI:https://doi.org/10.1103/PhysRev.131.2818· OSTI ID:4633049

Zwanziger, D

The irreducible nonunitary representations of the inhomogeneous Lorentz group, which satisfy the condition that the complex energy-momentum 4 vectors be transformable into a rest frame by a real Lorentz rotation, are found. By explicit construction of wave packets in configuration space it is seen that the vectors of the representation space have a natural interpretation as states of unstable particles. The new representations arise in the study of complex singularities associated with resonance poles in analytically continued scattering amplitudes. (auth)

• Research Organization: Universita, Rome
• NSA Number: NSA-17-036613
• OSTI ID: 4633049
• Journal Information: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D, Journal Name: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D Vol. Vol: 131; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ELEMENTARY PARTICLES
IRREDUCIBLE REPRESENTATION
LORENTZ TRANSFORMATIONS
MATRICES
PHYSICS
RELATIVITY THEORY
STABILITY