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Boson fields with the \(:\Phi^ 4:\) interaction in three dimensions. (English) Zbl 0175.24702


Keywords:

quantum theory
Full Text: DOI

References:

[1] Friedrichs, K.: Perturbation of spectra in Hilbert space. Providence: Am. Math. Soc. 1965. · Zbl 0142.11001
[2] Glimm, J.: Yukawa coupling of quantum fields in two dimensions, I. Commun. Math. Phys.5, 343–386 (1967). · Zbl 0155.57001 · doi:10.1007/BF01646449
[3] —- Yukawa coupling of quantum fields in two dimensions, II. Commun. Math. Phys.6, 61–76 (1967). · Zbl 0162.28902 · doi:10.1007/BF01646323
[4] —- Boson fields with nonlinear selfinteraction in two dimensions. Commun. Math. Phys.8, 12–25 (1968). · Zbl 0173.29903 · doi:10.1007/BF01646421
[5] –, andA. Jaffe: A Yukawa interaction in infinite volume. Commun. Math. Phys. To appear.
[6] Jaffe, A.: Wick polynomials at a fixed time. J. Math. Phys.7, 1250–1255 (1966). · doi:10.1063/1.1705027
[7] —-, andR. Powers: Infinite volume limit of a {\(\Phi\)}4 field theory. Commun. Math. Phys.7, 218–221 (1968). · Zbl 0159.60202 · doi:10.1007/BF01645663
[8] Nelson, E.: A quartic interaction in two dimensions. In: Mathematical theory of elementary particles, ed. byR. Goodman, andI. Segal, pp. 69–73. Cambridge: M.I.T. Press 1966.
[9] Kristensen, P., L. Mejlbo, andE. Poulsen: Tempered distributions in infinitely many dimensions II. Math. Scand.14, 129–150 (1964). · Zbl 0131.12001
[10] —- —- —-: Tempered distributions in infinitely many dimensions. III. Commun. Math. Phys.6, 29–48 (1967). · Zbl 0148.37403 · doi:10.1007/BF01646321
[11] Symanzik, K.: Euclidean quantum field theory I. J. Math. Phys.7, 510–525 (1966). · doi:10.1063/1.1704960
[12] Wightman, A.: Introduction to some aspects of the relativistic dynamics of quantized fields. Institute des Hautes Etudes Scientifiques, Bures-sur-Yvette (Revised notes for lectures at the French summer school of theoretical physics, Cargese, Corsica, July 1964).
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