Electronic Resource
Springer
Communications in mathematical physics
10 (1968), S. 1-47
ISSN:
1432-0916
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
Abstract The :Φ4: interaction for boson fields is considered in three dimensional space time. A space cutoff is included in the interaction term. The main result is that the renormalized HamiltonianH ren is a densely defined symmetric operator. In addition to the infinite vacuum energy and infinite mass renormalizations, this theory has an infinite wave function renormalization. Consequently the Hilbert space (of physical particles) in whichH ren acts is disjoint from the bare particle Fock Hilbert space in which the unrenormalized Hamiltonian is defined.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01654131
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