New path-integral quantization approach for a Lagrangian model in terms of Hubbard operators

被引:2
作者
Foussats-, A [1 ]
Repetto, C [1 ]
Zandron, OP [1 ]
Zandron, OS [1 ]
机构
[1] Univ Nacl Rosario, Fac Ciencias Exactas Ingn & Agrimensura, RA-2000 Rosario, Santa Fe, Argentina
来源
INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2004年 / 18卷 / 09期
关键词
Hubbard operators; Lagrangian formalism; Feynman diagrams;
D O I
10.1142/S0217979204024720
中图分类号
O59 [应用物理学];
学科分类号
摘要
In the present work the renormalized field theory for the Lagrangian formalism in terms of Hubbard operators is given. It is shown that starting from our path-integral representation found recently, it is possible to contruct the perturbative formalism and the standard Feynman diagram approach for operators verifying the Hubbard algebra. We show that by means of the introduction of proper ghost variables, propagators and vertices can be renormalized to each order. Our Lagrangian approach is checked using the Heisenberg ferromagnet and the antiferromagnet simpler models. In particular, the renormalized ferromagnetic magnon propagator coming from our formalism is studied in details, and it is shown how the softening of the magnon frequency is predicted by the model.
引用
收藏
页码:1319 / 1337
页数:19
相关论文
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