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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48 .

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The weakly coupled Yukawa$_{2}$ field theory: cluster expansion and Wightman axioms
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by Alan Cooper and Lon Rosen PDF
Trans. Amer. Math. Soc. 234 (1977), 1-88 Request permission


We prove convergence of the Glimm-Jaffe-Spencer cluster expansion for the weakly coupled Yukawa model in two dimensions, thereby verifying the Wightman axioms including a positive mass gap.
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Additional Information
  • © Copyright 1977 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 234 (1977), 1-88
  • MSC: Primary 81.47
  • DOI:
  • MathSciNet review: 0468872