REVIEW 4 cited by
Worldline Instantons II: The Fluctuation Prefactor
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Worldline Instantons II: The Fluctuation Prefactor
read the original abstract
In a previous paper [1], it was shown that the worldline expression for the nonperturbative imaginary part of the QED effective action can be approximated by the contribution of a special closed classical path in Euclidean spacetime, known as a worldline instanton. Here we extend this formalism to compute also the prefactor arising from quantum fluctuations about this classical closed path. We present a direct numerical approach for determining this prefactor, and we find a simple explicit formula for the prefactor in the cases where the inhomogeneous electric field is a function of just one spacetime coordinate. We find excellent agreement between our semiclassical approximation, conventional WKB, and recent numerical results using numerical worldline loops.
Forward citations
Cited by 4 Pith papers
-
Worldline Images for Yang-Mills Theory within Boundaries
A worldline image method is developed for the Yang-Mills effective action with boundaries, checked via the first three Seeley-DeWitt coefficients and applied to chromoelectric gluon production.
-
Resurgence of the Effective Action in Inhomogeneous Fields
Inhomogeneous background fields convert Borel poles in the effective action to branch points and introduce new ones, allowing resurgent extrapolation to recover non-perturbative information from perturbative input mor...
-
Scattered wave functions and worldline instantons for particle production in curved spacetime
Extends scattered-wave-function and open-worldline-instanton methods to multidimensional curved spacetimes and demonstrates agreement on 2D metric examples.
-
Introductory Lectures on Resurgence: CERN Summer School 2024
Introductory lectures cover resurgent asymptotics using examples like the Airy function, nonlinear Stokes phenomenon, Heisenberg-Euler action, and resurgent continuation.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.