Field Theory and Collective Phenomena

Steven Weinberg

Nicola Fabiano

Introduction/purpose: Quantum field theory techniques are able to describe precisely, inter alia, collective phenomena of statistical and solid state physics. Method: The path integral method with a Wick rotation shows its complete analogy with the partition function of statistical mechanics. Results: The Landau-Ginzburg phenomenology successfully describes collective phenomena such as spontaneous magnetization and super-conductivity. Conclusions: Symmetry breaking phenomena could give macroscopic results.

Hagen M. Kleinert

We recall the successes of the Hubbard-Stratonovich Transformation (HST) of many-body theory, point out its failure to cope with competing channels of collective phenomena and show how to overcome this by Variational Perturbation Theory. That yields exponentially fast converging results, thanks to the help of a variety of {\it collective classical fields}, rather than a fluctuating {\it collective quantum field} as suggested by the HST.

Ben M. Gripaios

Philippe Viola

We build the general theory of continuous PSI fields within the frame of the bioquantum synthesis, then we apply it to the general solving of two collective PSI phenomena: global consciousness and Sheldrake's morphic fields.

James G. Glimm, Arthur M. Jaffe