Olbertian Partition Function in Scalar Field Theory

Treumann, R. A. and Baumjohann, Wolfgang (8. December 2020): Olbertian Partition Function in Scalar Field Theory. In: Frontiers in Physics, Vol. 8, 610625: pp. 1-10

Abstract

The Olbertian partition function is reformulated in terms of continuous (Abelian) fields described by the Landau–Ginzburg action, respectively, Hamiltonian. In order to make some progress, the Gaussian approximation to the partition function is transformed into the Olbertian prior to adding the quartic Landau–Ginzburg term in the Hamiltonian. The final result is provided in the form of an expansion suitable for application of diagrammatic techniques once the nature of the field is given, that is, once the field equations are written down such that the interactions can be formulated.

• Item Type: Journal article
• Form of publication: Publisher's Version
• Keywords: Olbert distribution; partition function; Landau–Ginzburg theory; field theory; phase transitions; cosmology
• Faculties: Geosciences > Department of Earth and Environmental Sciences
• Subjects: 500 Science > 550 Earth sciences and geology
• ISSN: 2296-424X
• Language: English