We apply the tree expansion to the polynomial self-interacting quantum fields in two dimension. In the range of small coupling constants, we show that the expansion is also convergent when the full propagator is considered and the theory is regularized by normal ordering. Explicit estimates of the convergency ranges are given.
REFERENCES
1.
2.
3.
J.
Glimm
, A.
Jaffe
, and T.
Spencer
, Ann. Phys. (N.Y.)
101
, 610
(1976
).4.
5.
D. Brydges, “A short course on cluster expansions,” Critical Phenomena, Random Systems, Gauge Theories, Les Houches, session XLIII, 1984 (Elsevier Science, New York, 1986).
6.
M. Reed and B. Simon, Methods Of Modern Mathematical Physics. II. Fourier Analysis, Self-adjointness (A. P., New York; 1975).
7.
J. Glimm and A. Jaffe, Quantum Physics (Springer, Berlin, 1981).
This content is only available via PDF.
© 2000 American Institute of Physics.
2000
American Institute of Physics
You do not currently have access to this content.