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Physical Sciences & Mathematics

If the coupling constant in a quantum field theory is sufficiently small, which consequence follows when calculating particle interactions?

A)Divergences become exponentially suppressed.
B)Perturbation theory provides accurate approximations.
C)Non-perturbative methods become strictly necessary.
D)Renormalization becomes fundamentally unnecessary.

💡 Explanation

When the coupling constant is small, the interaction is a small perturbation. Perturbation theory provides a good approximation because higher-order terms contribute less and less to the result; therefore, perturbation theory is accurate rather than non-perturbative methods, which are needed for strong coupling.

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