Scale transformations, the energy-momentum tensor, and the equation of state
Abstract
The Equation of State (EOS) relates diagonal elements of the energy momentum tensor theta muons. The first moment of the energy momentum tensor generates scale transformations. The virial theorem, a consequence of the behavior of the energy density under scale transformations, allows one to eliminate the kinetic energy in terms of the potential terms. The trace theorem for the energy momentum tensor expresses (epsilon)-3p in terms of ensemble averages of scale-breaking operators, allowing a new approach to the EOS.
- Publication:
-
Presented at the NATO Advanced Study Institute International Advanced Course on the Nuclear Equation of State
- Pub Date:
- 1989
- Bibcode:
- 1989iacn.rept.....C
- Keywords:
-
- Energy Transfer;
- Equations Of State;
- Kinetic Energy;
- Quantum Mechanics;
- Relativistic Theory;
- Tensors;
- Energy Levels;
- Equations Of Motion;
- Momentum Theory;
- Thermodynamics and Statistical Physics