Representations of the poincaré group by higher-order field equations and unified field models of matter

H. Stumpf

Physica A: Statistical Mechanics and its Applications, 1982, vol. 114, issue 1, 184-196

Abstract: Higher-order field equations produce representations of the Poincaré group which regularize non-linear quantum field interactions but which in general are not unitary ones. These representations can be included in a new method of calculation for quantum field theory called functional quantum theory which permits quantum fields with indefinite metric to be treated. The method is outlined and afterwards applied to a unified lepton-quark model formulated by higher-order field equations. It will be explained in which way the hierarchy of forces can be derived in this model. The necessity of eliminating the unobservable new representations of the Poincaré group in asymptotic observable expressions leads to confinement. So by these representations regularization of non-renormalizable quantum field theories and confinement are closely connected.

Date: 1982
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:114:y:1982:i:1:p:184-196

DOI: 10.1016/0378-4371(82)90281-3

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