Massive basketball diagram for a thermal scalar field theory

Journal Article · Tue Aug 15 00:00:00 EDT 2000 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.62.045004· OSTI ID:20217392

Andersen, Jens O ^[1]; Braaten, Eric ^[1]; Strickland, Michael ^[2]

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1. Physics Department, Ohio State University, Columbus, Ohio 43210 (United States)
2. Physics Department, University of Washington, Seattle, Washington 98195-1560 (United States)

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 {phi}{sup 4} interaction to three-loop order. (c) 2000 The American Physical Society.

• OSTI ID: 20217392
• Journal Information: Physical Review. D, Particles Fields, Vol. 62, Issue 4; Other Information: PBD: 15 Aug 2000; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
SCALAR FIELDS
QUANTUM FIELD THEORY
PERTURBATION THEORY
DIAGRAMS
PHI4-FIELD THEORY
FREE ENERGY
INTEGRALS
THEORETICAL DATA