Thermodynamic Stability in an Expanding Universe
Analysis
This paper investigates the thermodynamic stability of a scalar field in an Einstein universe, a simplified cosmological model. The authors calculate the Feynman propagator, a fundamental tool in quantum field theory, to analyze the energy and pressure of the field. The key finding is that conformal coupling (ξ = 1/6) is crucial for stable thermodynamic equilibrium. The paper also suggests that the presence of scalar fields might be necessary for stability in the presence of other types of radiation at high temperatures or large radii.
Key Takeaways
- •Focuses on the thermodynamic stability of scalar fields in an Einstein universe.
- •Highlights the importance of conformal coupling (ξ = 1/6) for stability.
- •Suggests a potential role for scalar fields in maintaining stability with other types of radiation.
Reference
“The only value of $ξ$ consistent with stable thermodynamic equilibrium at all temperatures and for all radii of the universe is $1/6$, i.e., corresponding to the conformal coupling.”