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原文連結
論文資訊
- 類型：已發表論文
- 日期：2004-11-11
摘要
In this paper we study the 重整化 of the Schwinger-Dyson equations that arise in the auxiliary field formulation of the O(N) phi(4) field theory. The auxiliary field formulation allows a simple interpretation of the large-N expansion as a loop expansion of the generating functional in the auxiliary field chi, once the effective action is obtained by integrating over the phi fields. Our all orders result is then used to obtain finite renormalized Schwinger-Dyson (SD) equations based on truncation expansions which utilize the two-particle irreducible (2-PI) generating function formalism. We first do an all orders 重整化 of the two- and three-point function equations in the vacuum sector. This result is then used to obtain explicitly finite and 重整化 constant independent self-consistent SD equations
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