[01] Vladimir Kalitvianski, Grenoble, France.

I consider a special atomic scattering problem where the target atom has distinct “soft” and “hard” excitation modes. I demonstrate that in this problem the integration out of “short-distance” (or “high-energy”) physics may occur automatically in the regular perturbative calculations, i.e., it may occur without any cut off and renormalization. Not only that, the soft inelastic processes happen already in the first Born approximation and the inclusive cross-sections become unavoidable from the very beginning. All that is possible because of correct physical and mathematical formulation of the problem. I propose to build QFT in a similar way.

Cutoff, Renormalization, Reformulation, Effective Theory, Incomplete Theory, High-Energy Physics, Short-Distance Physics

[01] Kalitvianski V. (2009). Atom as a “Dressed” Nucleus. Cent. Eur. J. Phys., vol 7, pp. 1-11.; Preprint arXiv:0806.2635. [02] Feynman R. (1964). The Feynman Lectures on Physics, vol 2 (Reading, Massachusetts: Addison-Wesley Publishing Company, Inc.), pp. 28-4–28-6. [03] Kalitvianski V. (2013). A Toy Model of Renormalization and Reformulation. Int. J. Phys., vol 4, pp. 84-93.; Preprint arXiv: 1110.3702. [04] Akhiezer A. I., Berestetskii V. B. (1965). Quantum Electrodynamics, vol 2 (New York, USA: Interscience Publishers), p. 413. [05] Kalitvianski V. (2008). Reformulation Instead of Renormalization, Preprint arXiv: 0811.4416. [06] David Gross. Quantum Field Theory – Past, Present, Future. (2013). Invited talk at the Conference in Honour of the 90th Birthday of Freeman Dyson, Nanyang Technological University, Singapore, https://www.youtube.com/watch?v=o1ml3uZGGQE , t=20:55. [07] Kevin E. Cahill (2011). Renormalization group in continuum quantum field theory and Wilson's views. Lecture at The Univesity of New Mexico, https://www.youtube.com/watch?v=3A252xY-a0o [08] Landau L. D., Lifshitz E. M. (1991). Quantum Mechanics, Non-relativistic theory, (New York, USA: Pergamon Press), p. 15. [09] Leon van Dommelen (2003). The Born series. Quantum Mechanics for Engineers. On-line lectures at FAMU-FSU College of Engineering. https://www.eng.fsu.edu/~dommelen/quantum/style_a/nt_bnser.html [10] Stefan Blügel, (2012) Scattering Theory: Born Series. Lecture Notes of the 43rd IFF Spring School 2012. http://juser.fz-juelich.de/record/20885/files/A2_Bluegel.pdf