Worldline instantons and pair production in inhomogenous fields

@article{Dunne2005WorldlineIA,
  title={Worldline instantons and pair production in inhomogenous fields},
  author={Gerald V. Dunne and Christian Schubert},
  journal={Physical Review D},
  year={2005},
  volume={72},
  pages={105004}
}
We show how to do semiclassical nonperturbative computations within the worldline approach to quantum field theory using ``worldline instantons.'' These worldline instantons are classical solutions to the Euclidean worldline loop equations of motion, and are closed spacetime loops parametrized by the proper time. Specifically, we compute the imaginary part of the one-loop effective action in scalar QED using ``worldline instantons'' for a wide class of inhomogeneous electric field backgrounds… 

Pair creation in inhomogeneous fields from worldline instantons

We show how to do semiclassical nonperturbative computations within the worldline approach to quantum field theory using “worldline instantons”. These worldline instantons are classical solutions to

Complex Worldline Instantons and Quantum Interference in Vacuum Pair Production

We describe in detail a physical situation in which instantons are necessarily complex, not just Wick rotations of classical solutions to Euclidean spacetime. These complex instantons arise in the

Worldline instantons and the fluctuation prefactor

In a previous paper [G. V. Dunne and C. Schubert, Phys. Rev. D 72, 105004 (2005).], it was shown that the worldline expression for the nonperturbative imaginary part of the QED effective action can

Discrete worldline instantons

The semiclassical approximation of the worldline path integral is a powerful tool to study nonperturbative electron-positron pair creation in spacetime-dependent background fields. Finding solutions

Worldline instantons for nonlinear Breit-Wheeler pair production and Compton scattering

Worldline instantons have previously been used to study the probability of Schwinger pair production (both the exponential and pre-exponential parts) and photon-stimulated pair production (the

Multidimensional Worldline Instantons

We extend the worldline instanton technique to compute the vacuum pair production rate for spatially inhomogeneous electric background fields, with the spatial inhomogeneity being genuinely two or

Pair production in inhomogeneous fields

We employ the recently developed worldline numerics, which combines string-inspired field theory methods with Monte Carlo techniques, to develop an algorithm for the computation of pair-production

Equivalence between the phase-integral and worldline-instanton methods

The phase-integral and worldline-instanton methods are two widely used methods to calculate Schwinger pair-production densities in electric fields of fixed direction that depend on just one time or

QED as a many-body theory of worldlines: General formalism and infrared structure

We discuss a reformulation of QED in which matter and gauge fields are integrated out explicitly, resulting in a many-body Lorentz covariant theory of 0+1 dimensional worldlines describing

Holographic Schwinger Effect of Dynamic Fields

At strong-coupling and weak-field limit, the scalar Schwinger effect is studied by the field-theoretical method of worldline instantons for dynamic fields of single-pulse and sinusoidal types. By
...

References

SHOWING 1-10 OF 44 REFERENCES

Pair production in inhomogeneous fields

We employ the recently developed worldline numerics, which combines string-inspired field theory methods with Monte Carlo techniques, to develop an algorithm for the computation of pair-production

Schwinger pair production via instantons in strong electric fields

In the space-dependent gauge, each mode of the Klein-Gordon equation in a strong electric field takes the form of a time-independent Schr\{o}dinger equation with a potential barrier. We propose that

QED effective action in time dependent electric backgrounds

We apply the resolvent technique to the computation of the QED effective action in time dependent electric field backgrounds. The effective action has both real and imaginary parts, and the imaginary

Quantum effective actions from nonperturbative worldline dynamics

We demonstrate the feasibility of a nonperturbative analysis of quantum field theory in the worldline formalism with the help of an efficient numerical algorithm. In particular, we compute the

Loops and loop clouds: A Numerical approach to the worldline formalism in QED

A numerical technique for calculating effective actions of electromagnetic backgrounds is proposed, which is based on the string-inspired worldline formalism. As examples, we consider scalar

Constant external fields in gauge theory and the spin 0, 1/2, 1 path integrals

Abstract We investigate the usefulness of the “string-inspired technique” for gauge theory calculations in a constant external field background. Our approach is based on Strassler's worldline path

Field theory without Feynman diagrams: One loop effective actions

One loop photon-graviton mixing in an electromagnetic field: part 2

Photon-graviton mixing in an electromagnetic field is a process of potential interest for cosmology and astrophysics. At the tree level it has been studied by many authors. We consider the one-loop