Green's function theory of unstable particles

Journal Article · Sat May 15 04:00:00 EDT 1976 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.13.2891· OSTI ID:7352442

Mizrachi, L

A general form for the propagator G/sub ab//(x, y) = < 0 vertical-bar T(phi/sub a/(x) phi/sub b/(y)) vertical-bar 0 > of n scalar Hermitian fields based on causality, Poincare invariance, and the completeness of the set of states having timelike momentum is found, which is consistent with a dynamical model of the fields coupled to currents. This provides a unified theory of stable and unstable particles, which are poles of the matrix on the real axis and on the second sheet, respectively. The pole residues are in general not orthogonal, unless there is a symmetry, so that the Fourier transform of the matrix, though having an exponential form, is not a semigroup. The case of symmetry breaking for n = 2 is interpreted as PC violation in K decay and is analyzed explicitly. (AIP)

• Research Organization: Department of Physics and Astronomy, Tel Aviv University, Ramat Aviv, Israel
• OSTI ID: 7352442
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 13:10; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645203 -- High Energy Physics-- Particle Interactions &amp; Properties-Theoretical-- Weak Interactions &amp; Properties
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
CP INVARIANCE
DECAY
ELEMENTARY PARTICLES
FIELD THEORIES
FUNCTIONS
GREEN FUNCTION
HADRONS
INVARIANCE PRINCIPLES
KAONS
MESONS
PROPAGATOR
PSEUDOSCALAR MESONS
QUANTUM FIELD THEORY
SCHWINGER SOURCE THEORY
STRANGE PARTICLES
SYMMETRY BREAKING