Operator realization of generalized Pauli-Villars regularization
Teoretičeskaâ i matematičeskaâ fizika, Tome 23 (1975) no. 3, pp. 322-330
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Vector space of “quasistates” is constructed, in which the notion of “field operator
at fixed point” can be determined. The usual and chronological products of “fields
at fixed point” are defined as operators in this space. In the space of quasistates there
is a subspace of “regular quasistates”, which can be provided with a norm and scalar
product. When the factorisation over this norm is performed, the space of regular quasistates
acquires the structure of the usual Fock space of states. Reduction of operators
corresponding to the usual and chronological products of the fields, from the space
of quasistates to the subspace of regular quasistates generates operator-valued distributions
in the Fock space. Thus the regularisation procedure turns out to be incorporated
intrinsically in the construction of the vector space.
@article{TMF_1975_23_3_a3,
author = {D. A. Slavnov},
title = {Operator realization of generalized {Pauli-Villars} regularization},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {322--330},
publisher = {mathdoc},
volume = {23},
number = {3},
year = {1975},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1975_23_3_a3/}
}
D. A. Slavnov. Operator realization of generalized Pauli-Villars regularization. Teoretičeskaâ i matematičeskaâ fizika, Tome 23 (1975) no. 3, pp. 322-330. http://geodesic.mathdoc.fr/item/TMF_1975_23_3_a3/