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Effective action for the Yukawa2 quantum field theory

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Abstract

Using a rigorous version of the renormalization group we construct the effective action for theY 2 model. The construction starts with integrating out the bosonic field which eliminates the large fields problem. Studying the soobtained purely fermionic theory proceeds by a series of convergent perturbation expansions. We show that the continuum limit of the effective action exists and its perturbation expansion is Borel summable.

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  1. Lyman Laboratory of Physics, Harvard University, 02138, Cambridge, MA, USA

    A. Lesniewski

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  1. A. Lesniewski
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Communicated by A. Jaffe

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Lesniewski, A. Effective action for the Yukawa2 quantum field theory. Commun.Math. Phys. 108, 437–467 (1987). https://doi.org/10.1007/BF01212319

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  • DOI: https://doi.org/10.1007/BF01212319

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