APPLICATION OF EXACT RENORMALIZATION GROUP TECHNIQUES TO THE NON-PERTURBATIVE STUDY OF SUPERSYMMETRIC FIELD THEORY

APPLICATION OF EXACT RENORMALIZATION GROUP TECHNIQUES TO THE NON-PERTURBATIVE STUDY OF SUPERSYMMETRIC FIELD THEORY
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精确重正化群技术在超对称场论非微扰研究中的应用

DOI:
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发表时间:
2004
期刊:
影响因子:
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通讯作者:
K. Yoshida
K. Yoshida
中科院分区:
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文献类型:
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作者:
S. Arnone;K. Yoshida

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提出了研究超对称规范场论的精确重整化群方法的一种简单形式。该方法依赖于具有扩展超对称的紫外有限四维规范理论的存在。所得到的精确重整化群方程在很大程度上取决于N=1超级Yang-Mills的Konishi异常。我们通过处理β函数、N=2超级Yang-Mills有效势和N=1超级Yang-Mills胶子超势(即所谓的Veneziano-Yankielowicz势)的NSVZ精确关系来说明我们的方法。
A simple form of the exact renormalization group method is proposed for the study of supersymmetric gauge field theory. The method relies on the existence of ultraviolet-finite four dimensional gauge theories with extended supersymmetry. The resulting exact renormalization group equation crucially depends on the Konishi anomaly of N=1 super Yang–Mills. We illustrate our method by dealing with the NSVZ exact relation for the beta functions, the N=2 super Yang–Mills effective potential and the N=1 super Yang–Mills gluon superpotential (the so-called Veneziano–Yankielowicz potential).