 98771 Hendrik Grundling, Fernando Lledo
 Local quantum constraints
(163K, latex)
Dec 23, 98

Abstract ,
Paper (src),
View paper
(auto. generated ps),
Index
of related papers

Abstract. We analyze the situation of a local quantum field theory with constraints
which are also local. In particular we find "weak" HaagKastler axioms
which will ensure that the final constrained theory satisfies the usual
HaagKastler axioms. We develop in detail GuptaBleuler electromagnetism
as an example of such a theory which satisfies the "weak" HaagKastler
axioms but not the usual ones.
We conclude the analysis by a comparison of the final algebra produced
by a system of local constrainings to the one obtained from a single
global constraining, and also consider the issue of reduction by stages.
For the usual spectral condition on the generators of the translation
group, we also find a "weak" version, and show that the GuptaBleuler
example satisfies it, using a representation of the physical algebra
coming from the usual indefinite metric Fock representation of the
original algebra.
 Files:
98771.src(
98771.keywords ,
MS.tex )