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If I take the massless limit of a massive field theory (e.g. considering cross-sections or other observables), do I always obtain the "right" massless theory?
The massless limit of a massive field theory refers to the theoretical scenario in which the mass of a particle is reduced to zero, while the other properties and interactions of the particle remain unchanged.
Yes, the massless limit of massive field theory is a well-established concept in theoretical physics. It is used to simplify calculations and make predictions about the behavior of particles in certain scenarios.
The massless limit of massive field theory is relevant in many areas of modern physics, including quantum field theory, particle physics, and cosmology. It helps to understand the behavior of massless particles, such as photons and gluons, and their interactions with other particles.
While the massless limit of massive field theory is a useful concept, it has its limitations. For example, it does not accurately describe the behavior of particles with non-zero mass, and it cannot account for certain physical phenomena, such as the Higgs mechanism.
The predictions made by the massless limit of massive field theory can be tested and validated through experiments and observations. For example, the existence and properties of massless particles, such as photons, have been confirmed through experiments at particle accelerators.