Mathematical Quantum Field Theory is a theoretical framework that combines the principles of quantum mechanics and special relativity to describe the behavior of particles in a quantum field. It is used to understand the fundamental interactions of particles and their properties.
Gauge fixing is a mathematical procedure used in QFT to remove the redundancies in the description of a physical system. It involves choosing a specific mathematical representation of a theory, called a gauge, to simplify the equations and make them more manageable.
Gauge fixing is necessary in QFT because it simplifies the equations and makes them more manageable. Without gauge fixing, the equations can become very complicated and difficult to solve, hindering our understanding of the physical system.
Some common comments about gauge fixing in QFT include its usefulness in simplifying equations, its importance in maintaining the consistency of a theory, and its role in removing unphysical solutions from the equations.
While gauge fixing is a commonly accepted procedure in QFT, there have been some controversies surrounding its use. Some argue that it is an arbitrary choice that can lead to different physical predictions, while others argue that it is a necessary tool for making accurate predictions in QFT.
