Dual path integral: a non-perturbative approach to strong coupling

Abstract We develop a non-perturbative method for calculating partition functions of strongly coupled quantum mechanical systems with interactions between subsystems described by path integral dual system. The is derived starting from non-interacting at zeroth order and then introducing couplings increasing complexity each an iterative procedure. These orders play the role time full function expressed as transition amplitude in More precisely, it deformation-operators dependent initial state zero time/order to inverse-temperature final later time/order. provide examples up first-order (e.g. Ising model) arbitrary high-order $$1+1\hbox {D}$$ 1 + D QFT). also discuss possible emergence space-time, field theories general relativity context integral.