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piggy1983
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What is the difference between renormalized mass and the running mass? And physical mass,pole mass?
Renormalized mass is a concept in quantum field theory that refers to the mass of a particle after taking into account the effects of quantum corrections on the bare mass value. It is a more accurate representation of the mass of a particle in the real world, as it takes into account the interactions with other particles and fields.
Running mass is also a concept in quantum field theory that refers to the mass of a particle as it changes with energy scale. It takes into account the effects of quantum fluctuations and interactions at different energy levels, and is represented as a continuous function rather than a fixed value.
The main difference between renormalized mass and running mass is that renormalized mass takes into account all the quantum corrections and interactions with other particles, while running mass considers the effects of quantum fluctuations at different energy levels. Renormalized mass is a more precise value, while running mass is a continuously changing value.
Renormalized mass is calculated using various mathematical techniques, such as perturbation theory and renormalization group equations, to account for the effects of quantum corrections. Running mass is calculated using the concept of the running coupling constant, which describes how the strength of the interaction between particles changes with energy scale.
It is important to distinguish between renormalized mass and running mass because they have different physical interpretations and implications. Renormalized mass is a more accurate representation of the mass of a particle in the real world, while running mass is a theoretical concept that helps us understand how particles interact at different energy scales. Understanding the difference between the two can lead to a better understanding of the fundamental nature of particles and their interactions.