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Unfolded Dynamics Approach and Quantum Field Theory


Misuna,  N.
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Misuna, N. (in preparation). Unfolded Dynamics Approach and Quantum Field Theory.

Cite as: https://hdl.handle.net/21.11116/0000-000A-EF68-5
We study quantization of the self-interacting scalar field within the
unfolded dynamics approach. To this end we present a classical unfolded system
describing 4d off-shell scalar field with a general self-interaction potential.
Then we systematically construct three different but related unfolded
formulations of the corresponding quantum field theory, supporting them with
illustrative calculations: unfolded functional Schwinger-Dyson system, unfolded
system for correlation functions and an unfolded effective system which
determines an effective action. The most curious feature we reveal is that an
unfolded quantum commutator gets naturally regularized: standard delta-function
is replaced with the heat kernel, parameterized by the unfolded proper time. We
also identify an auxiliary 5d system, having this proper time as a physical
time, which generates 4d scalar action as its on-shell action.