Proof of conformal invariance in the critical regime for models of Gross-Neveu type

Proof of conformal invariance in the critical regime for models of Gross-Neveu type
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Gross-Neveu 型模型临界状态中保角不变性的证明

DOI:
10.1007/bf01017082
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发表时间:
1992
影响因子:
1
通讯作者:
A. Stepanenko
A. Stepanenko
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
A. N. Vasil'ev;S. E. Derkachev;N. A. Kibel';A. Stepanenko

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结果表明,对于所有相互作用中不含导数的乘法重整化费米子模型,特别是Gross-Neveu模型,在临界区(重整化群点固定的无质量模型),场的绿色函数的共形不变性是由任意空间维的标度不变性自动导出的.
It is shown that for all multiplicatively renormalizable fermionic models without derivativs in the interaction, in particular, for the Gross—Neveu model, conformal invariance of the Green's functions of the fields in the critical regime (massless model at fixed renormalization-group point) automatically follows from the scale invariance for arbitrary space dimension.