Renormalization of the Hilbert Space in the Mass Shift Model
- 1 June 1972
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 13 (6) , 918-927
- https://doi.org/10.1063/1.1666077
Abstract
The (φ2)s+1 quantum field theory model can be solved exactly, where the number of space dimensions is s ≤ 3. Thus this model explicitly illustrates many properties of nontrivial models such as (φ2n)2 and Yukawa2. In particular we study hyperbolicity, the energy spectrum, local Fockness, and the change of Hilbert space as the spatial cut off is removed.Keywords
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