Virial expansion with Feynman diagrams

Journal Article · Tue Nov 15 00:00:00 EST 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.84.053633· OSTI ID:22095434

Leyronas, X. ^[1]

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1. Laboratoire de Physique Statistique, Ecole Normale Superieure, UPMC Universite Paris 06, Universite Paris Diderot, CNRS, 24 rue Lhomond, FR-75005 Paris (France)

We present a field theoretic method for the calculation of the second and third virial coefficients b{sub 2} and b{sub 3} of two-species fermions interacting via a contact interaction. The method is mostly analytic. We find a closed expression for b{sub 3} in terms of the two- and three-body T matrices. We recover numerically, at unitarity, and also in the whole Bose-Einstein-condensate-BCS crossover, previous numerical results for the third virial coefficient b{sub 3}.

• OSTI ID: 22095434
• Journal Information: Physical Review. A, Vol. 84, Issue 5; Other Information: (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BCS THEORY
BOSE-EINSTEIN CONDENSATION
FERMIONS
FEYNMAN DIAGRAM
PARTICLE INTERACTIONS
QUANTUM FIELD THEORY
S MATRIX
THREE-BODY PROBLEM
UNITARITY
VIRIAL EQUATION