Summary
An exact analytic expression is obtained for the ground-state energydensity for a nontrivial quantum field theory in four dimensions of space-time. The basic idea in setting up the model is to develop the interaction in such a way as to give rise to an exact integrable expression for the path integral of the vacuum-to-vacuum transition amplitude with respect to the Gaussian measure in Euclidean space in the absence of external sources.
Similar content being viewed by others
|o
J. Glimm andA. Jaffe:J. Math. Phys.,10, 2213 (1969).
L. van Hove andN. M. Hugenholtz: inQuantum Theory of Many Particle Systems (New York, N. Y., 1961).
E. B. Manoukian:Fortschr. Phys.,24, 325 (1976).
E. B. Manoukian:Phys. Rev. D,27, 1299 (1983).
E. B. Manoukian:Theoretical analysis of quantum electrodynamics, to appear inFortschr. Phys.
Author information
Authors and Affiliations
Additional information
Work supported by the Department of National Defence under CRAD No. 3610-637: F4122.
Rights and permissions
About this article
Cite this article
Manoukian, E.B. Exact ground-state energy-density in a nontrivial quantum field theory in four dimensions. Lett. Nuovo Cimento 38, 318–320 (1983). https://doi.org/10.1007/BF02786000
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02786000