Thermal state on a cylindrical spacetime
L. Ort\'iz
TL;DR
This paper proves that thermal equilibrium states in two-dimensional Minkowski spacetime can be extended to cylindrical spacetime using the algebraic approach to Quantum Field Theory, maintaining their thermal properties.
Contribution
It demonstrates a method to construct thermal states on cylindrical spacetime from Minkowski spacetime within the algebraic QFT framework, establishing a link between these geometries.
Findings
Thermal states on Minkowski spacetime can be extended to cylindrical spacetime.
The algebraic approach effectively preserves thermal equilibrium properties.
The method applies specifically to two-dimensional models.
Abstract
We proof that if we have a thermal equilibrium state on Minkowski spacetime in two dimensions then we have a thermal equilibrium state on the cylindrical spacetime obtained from this Minkowski spacetime by making 2\pi-periodic the spatial direction. We perform this by using the algebraic approach to Quantum Field Theory.
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Taxonomy
TopicsQuantum Electrodynamics and Casimir Effect · Cosmology and Gravitation Theories · Noncommutative and Quantum Gravity Theories