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Massive basketball diagram for a thermal scalar field theory

Journal Article · · Physical Review. D, Particles Fields
 [1];  [1];  [2]
  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, Journal Name: Physical Review. D, Particles Fields Journal Issue: 4 Vol. 62; ISSN PRVDAQ; ISSN 0556-2821
Country of Publication:
United States
Language:
English

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