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Integral transforms of the quantum mechanical path integral: hit function and path averaged potential

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abstract

We introduce two new integral transforms of the quantum mechanical transition kernel that represent physical information about the path integral. These transforms can be interpreted as probability distributions on particle trajectories measuring respectively the relative contribution to the path integral from paths crossing a given spatial point (the hit function) and the likelihood of values of the line integral of the potential along a path in the ensemble (the path averaged potential).

fields

hep-th 1

years

2019 1

verdicts

REJECT 1

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Propagator from Nonperturbative Worldline Dynamics

hep-th · 2019-08-13 · reject · novelty 6.0

Worldline Monte Carlo with a fitted potential PDF gives an all-orders quenched propagator for S2QED, with a pole mass that drops toward zero near a critical coupling around 0.72.

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  • Propagator from Nonperturbative Worldline Dynamics hep-th · 2019-08-13 · reject · none · ref 54 · internal anchor

    Worldline Monte Carlo with a fitted potential PDF gives an all-orders quenched propagator for S2QED, with a pole mass that drops toward zero near a critical coupling around 0.72.