Minimal Electromagnetic Currents and Commutation Relations
نویسندگان
چکیده
منابع مشابه
Commutation Relations and Field Dependence of Vector and Tensor Currents*
It is shown, directly from proper Lorentz-invariance and a positive Hilbert-space metric, that the vacuum expectation value < 0) [joFL ji Fl] / 0 > cannot vanish unless jp(x)iO>= jt (x)/O > G 0. Neither local.ity nor K$ill&-Lehmann type representations are needed. The same is demonstrated for < 0 I[ s;,($ Simt3] 10 > -? for aw antisymmetric tensor S PV l The explicit dependence of j and P S PV ...
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We consider a certain decomposition of the matrix algebra Mn(F ), where F is a field. The commutation relations of that decomposition yield an n × n matrix Mn , which determines the multilinear polynomial identities of Mn(F ). Thus if char(F ) = 0, the matrix Mn ) determines the polynomial identities of Mn(F ). We show that M Mn(F ) is very close to the tensor product of two n × n Vandermonde m...
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ژورنال
عنوان ژورنال: Physical Review
سال: 1966
ISSN: 0031-899X
DOI: 10.1103/physrev.152.1383