Infrared problem in perturbative quantum field theory
@article{Duch2021InfraredPI, title={Infrared problem in perturbative quantum field theory}, author={Paweł Duch}, journal={Reviews in Mathematical Physics}, year={2021} }
We propose a mathematically rigorous construction of the scattering matrix and the interacting fields in models of relativistic perturbative quantum field theory with massless fields and long-range interactions. We consider quantum electrodynamics and a certain model of interacting scalar fields in which the standard definition of the scattering matrix is not applicable because of the infrared problem. We modify the Bogoliubov construction using the ideas of Dollard, Kulish and Faddeev. Our…
5 Citations
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Abstract
A non-perturbative and exactly solvable quantum field theoretical model for a “dressed Dirac field” is presented, that exhibits all the kinematical features of QED: an appropriate…
Infrared Finite Scattering Theory in Quantum Field Theory and Quantum Gravity
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earliest of quantum field theory (QFT) that infrared divergences arise in scattering theory with massless fields. These infrared divergences are manifestations of the memory effect: At order 1 /r a…
Infrared Problem vs Gauge Choice: Scattering of Classical Dirac Field
- Mathematics
- 2021
We consider the Dirac equation for the classical spinor field placed in an external, time-dependent electromagnetic field of the form typical for scattering settings:…
Almost Radial Gauge
- Mathematics, PhysicsAnnales Henri Poincaré
- 2022
An almost radial gauge $$A^\mathrm {ar}$$
A
ar
of the electromagnetic potential is constructed for which $$x\cdot A^\mathrm {ar}(x)$$
x
·
A
ar
(
x
)
vanishes arbitrarily…
Correction to: Infrared Problem vs Gauge Choice: Scattering of Classical Dirac Field
- PhysicsAnnales Henri Poincaré
- 2021
A Correction to this paper has been published: https://doi.org/10.1007/s00023-020-01015-y
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