Energy-Momentum Spectrum and Vacuum Expectation Values in Quantum Field Theory
- 1 December 1970
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 11 (12) , 3335-3338
- https://doi.org/10.1063/1.1665134
Abstract
We consider nonlinear boson self‐interactions with a periodic spatial cutoff. We prove that the energy‐momentum spectrum lies in the forward light cone. A momentum cutoff does not influence this result. For theories with finite‐field strength renormalization, we obtain bounds on the vacuum expectation values of products of the φt's and ∇φ's. These bounds are uniform in the volume (and possible momentum) cutoff.Keywords
This publication has 5 references indexed in Scilit:
- A λφ2n field theory without cutoffsCommunications in Mathematical Physics, 1970
- The λ(ϕ 4 ) 2 Quantum Field Theory Without Cutoffs: II. The Field Operators and the Approximate VacuumAnnals of Mathematics, 1970
- AQuantum Field Theory without Cutoffs. IPhysical Review B, 1968
- Boson fields with nonlinear selfinteraction in two dimensionsCommunications in Mathematical Physics, 1968
- Zur Formulierung quantisierter FeldtheorienIl Nuovo Cimento (1869-1876), 1955