TL;DR
This paper discusses the complexities of gauge fixing beyond perturbation theory, focusing on the Gribov-Singer ambiguity, its impact on gauge-dependent functions, and the relation between lattice and continuum methods.
Contribution
It highlights the necessity of additional gauge conditions beyond perturbation theory and explores their effects on gauge-dependent correlation functions.
Findings
Different gauge conditions can lead to different correlation functions.
The Gribov-Singer ambiguity complicates gauge fixing beyond perturbation theory.
Relations between lattice and continuum gauge fixing are briefly outlined.
Abstract
Gauge fixing is a useful tool to simplify calculations. It is also valuable to combine different methods, in particular lattice and continuum methods. However, beyond perturbation theory the Gribov-Singer ambiguity requires further gauge conditions for a well-defined gauge-fixing prescription. Different additional conditions can, in principle, lead to different results for gauge-dependent correlation functions, as will be discussed for the example of Landau gauge. Also the relation of lattice and continuum gauge fixing beyond perturbation theory will be briefly outlined.
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Taxonomy
TopicsNumerical methods for differential equations · Quantum Chromodynamics and Particle Interactions · Electromagnetic Simulation and Numerical Methods