Quantum Field Theory
Boltzmann weight is a statistical mechanics concept that describes the probability of a system occupying a particular state at a given temperature, defined mathematically as $$e^{-E/k_BT}$$, where $$E$$ is the energy of the state, $$k_B$$ is the Boltzmann constant, and $$T$$ is the temperature. This concept is central to understanding how systems behave thermally, especially in lattice field theories where configurations are sampled based on their energy contributions.
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