The thermal energy of a scalar field in a one-dimensional compact space
E. Elizalde, A. C. Tort
TL;DR
This paper examines the contentious issues in calculating the thermal energy of a scalar field in a one-dimensional compact space using a generalized zeta function method.
Contribution
It introduces a detailed analysis of the thermal energy calculation employing a generalized zeta function approach, addressing previous controversies.
Findings
Clarified the role of boundary conditions in thermal energy calculations
Resolved discrepancies in previous zeta function evaluations
Provided a consistent framework for scalar field thermal energy in compact spaces
Abstract
We discuss some controverted aspects of the evaluation of the thermal energy of a scalar field in a one-dimensional compact space. The calculations are carried out using a generalised zeta function approach.
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