Are there problems in classical mechanics for large value of the action like there were for small ones?

by Prof. Ennio Gozzi (Università di Trieste)

Thursday 18 Jun 2015, 14:30 → 15:30 Europe/Rome

0M04 (Napoli)

In this talk we will give a brief review of the Koopmann von Neuman operatorial formalism for classical mechanics and of its modern path-integral counterpart. In this framework the  procedure of de-quantization, i.e.going from Quantum Mechanics to Classical Mechanics, can be tentatively re-interpreted using "renormalization group like" methods in which the analogue of the beta function is zero while the gamma function is not zero. Classical Mechanics may not be an infrared stable fixed point of this gamma function. That fixed point could be the correct mechanics at large phase-space scale. We put forward some tentative and preliminary ideas relating the instability of classical mechanics with problems for large value of the action.