Inverse temperature is , where is the Boltzmann constant and is the absolute temperature. A canonical ensemble weights an energy by its Boltzmann factor . Calling couplings dimensionless means absorbing this factor into their energy coefficients. The alternative convention makes inverse temperature ; physical and dimensionless couplings must not be mixed.
In a thermal Euclidean worldline path integral with , is also the circumference of the imaginary-time circle.
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