Regulating the $P^+ = 0$ Singularity
Gary McCartor
TL;DR
This paper discusses methods to regulate the $P^+ = 0$ singularity in quantum field theories, highlighting how regulation introduces new operators and differs between ultraviolet and infrared singularities.
Contribution
It provides a comparative analysis of regulating the $P^+ = 0$ singularity and explores the resulting new operators in the theory.
Findings
Regulation of the singularity induces new operators.
Different approaches are required for ultraviolet and infrared singularities.
The process impacts the structure of the quantum field theory.
Abstract
I shall discuss the regulation of the singularity and give some examples. Regulating the singularity induces new operators into the theory. This process seems rather different for the case of ultraviolet singularities than for the case of infrared singularities.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Electromagnetic Scattering and Analysis · Quantum and Classical Electrodynamics