The Phi 2 to the 4th power equations of motion. Part 1: Sign and splitting properties. Definition of Phi Lambda-subsets
Abstract
The equations of motion for the polynomial interactions of degree 4 in two-dimensional space are considered. The fact the equations of motion for the completely amputated connected Green's functions (Schewing functions) for two dimensional momento space have a nontrivial solution is proved. Fixed point method is used. The precise relation of perturbative series with Phi-iteration is not studied. There is no contradiction between the divergence of perturbative series and the convergence of Phi-iteration.
- Publication:
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The Phi 2 to the 4th power equations of motion. Part 1: Sign and splitting properties. Definition of Phi Lambda-subsets
- Pub Date:
- June 1985
- Bibcode:
- 1985ppem.rept.....M
- Keywords:
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- Field Theory (Physics);
- Green'S Functions;
- Quantum Theory;
- Banach Space;
- Convolution Integrals;
- Electromagnetic Interactions;
- Thermodynamics and Statistical Physics