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On the Dimensions of the Chiral and Dilatation Symmetry Breaking Hamiltonian Densities
Author(s) -
Cornwell D. T.,
Genz H.
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.19730211003
Subject(s) - hamiltonian (control theory) , symmetry breaking , mathematical physics , physics , theoretical physics , mathematics , quantum mechanics , mathematical optimization
Denoting by l u and l δ the dimensions (if any) of the chiral and dilation symmetry breaking Hamiltonian densities u ( x ) and δ( x ), respectively, the property (4 – l u ) ( l u – l δ ) > 0 (which is already known in special cases) is derived for a much larger class of models. We furthermore obtain a simple and general explicit expression for u ( x ) in terms of the current divergences, and review the physical applications of this (or an analogous, almost obvious) expression.