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Renormalization group approach to lattice gauge field theories
II. Cluster expansions

Tadeusz Balaban1

(1) Department of Mathematics, Boston University, 02215 Boston, MA, USA

Received: 23 September 1985  Revised: 5 October 1987  

Communicated by A. Jaffe
Abstract  The fluctuation field integral, constructed in Part I, is represented by the exponentiated cluster expansion. It is proved that the terms of the expansion satisfy the inductive assumptions. This completes the construction of the sequence of effective actions in the small field approximation.
Work supported in part by the Air Force under Grant AFOSR-86-0229 and by the National Science Foundation under Grant DMS-86-02207

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Referenced by
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  1. Rivasseau, V. (2000) Constructive field theory and applications: Perspectives and open problems. Journal of Mathematical Physics 41(6)
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  2. Gorzhini, M. (1999) On a nonideal Bose gas model. Theoretical and Mathematical Physics 120(1)
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  3. Balaban, Tadeusz (1995) A low temperature expansion for classicalN-vector models. I. A renormalization group flow. Communications in Mathematical Physics 167(1)
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  4. Balaban, Tadeusz (1989) Large field renormalization. I. The basic step of the ℝ operation. Communications in Mathematical Physics 122(2)
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  5. Bałaban, T. (1988) Convergent renormalization expansions for lattice gauge theories. Communications in Mathematical Physics 119(2)
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