Massive basketball diagram for a thermal scalar field theory
- 14 July 2000
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 62 (4) , 045004
- https://doi.org/10.1103/physrevd.62.045004
Abstract
The “basketball diagram” is a three-loop vacuum diagram for a scalar field theory that cannot be expressed in terms of one-loop diagrams. We calculate this diagram for a massive scalar field at nonzero temperature, reducing it to expressions involving three-dimensional integrals that can be easily evaluated numerically. We use this result to calculate the free energy for a massive scalar field with a interaction to three-loop order.
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