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Testing Theories of Chiral Symmetry
Author(s) -
WingChiu Ng.
Publication year - 1973
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.19730211203
Subject(s) - physics , sum rule in quantum mechanics , light cone , particle physics , neutrino , momentum (technical analysis) , symmetry (geometry) , meson , current algebra , theoretical physics , algebra over a field , quantum chromodynamics , mathematics , geometry , finance , pure mathematics , economics
We investigate various physical consequences of theories of chiral symmetry. Predictions of the symmetry are given for the meson electroproduction process at an on‐shell kinematical point where unknown contributions are minimized. Sum rules are derived for the corrections. Then we present a sum rule for the ∑ term in meson‐baryon scattering from the assumptions of Bjorken limit, precocious asymptopia, and finite‐mass dispersion relations. We use the commutation relations of the gluon model as input for a numerical evaluation. Next the explicit canonical structure of the light‐cone restriction of the commutator of the weak current with its divergence is considered in the interacting quark‐gluon model quantized in the infinite–momentum frame. The implications on neutrino scattering are analyzed. W 4 and W 5 are predicted to scale nontrivially as v −2 F 4 (ω) and v −2 F 5 (ω), which provides a simple test of light‐cone current algebra feasible in the near future. The ∑ term for weak currents is deduced from a causal representation near the light‐cone, and a correction is also made in the W 5 – sum rule obtained by naive infinite momentum techniques. As a by‐product we obtain improved derivations of the Adler neutrino sum rules.