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

页码：1319 / 1337

页数：19

共 35 条

[1] Abrikosov A. A., 1965, PHYSICS, V2, P5, DOI [10.1103/PhysicsPhysiqueFizika.2.5, DOI 10.1103/PHYSICSPHYSIQUEFIZIKA.2.5]
[2] EFFECTIVE LATTICE ACTIONS FOR CORRELATED ELECTRONS
ANGELUCCI, A
[J]. PHYSICAL REVIEW B, 1995, 51 (17): : 11580 - 11583
[3] FUNCTIONAL INTEGRAL THEORIES OF LOW-DIMENSIONAL QUANTUM HEISENBERG MODELS
AROVAS, DP
AUERBACH, A
[J]. PHYSICAL REVIEW B, 1988, 38 (01) : 316 - 332
[4] NEW METHOD FOR ANDERSON MODEL
BARNES, SE
[J]. JOURNAL OF PHYSICS F-METAL PHYSICS, 1976, 6 (07): : 1375 - 1383
[5] THE RESONATING VALENCE BOND STATE AND HIGH-TC SUPERCONDUCTIVITY - A MEAN FIELD-THEORY
BASKARAN, G
ZOU, Z
ANDERSON, PW
[J]. SOLID STATE COMMUNICATIONS, 1987, 63 (11) : 973 - 976
[6] NEW SUPERSYMMETRIC AND EXACTLY SOLVABLE MODEL OF CORRELATED ELECTRONS
BRACKEN, AJ
GOULD, MD
LINKS, JR
ZHANG, YZ
[J]. PHYSICAL REVIEW LETTERS, 1995, 74 (14) : 2768 - 2771
[7] Supersymmetric Hubbard operators -: art. no. 140411
Coleman, P
Pépin, C
Hopkinson, J
[J]. PHYSICAL REVIEW B, 2001, 63 (14):
[8] Connection between the slave-particle and x-operator path-integral representations.: A new perturbative approach
Foussats, A
Greco, A
Repetto, C
Zandron, OP
Zandron, OS
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2000, 33 (33): : 5849 - 5866
[9] First-order Lagrangians and path-integral quantization in the t-J model
Foussats, A
Greco, A
Zandron, OS
[J]. ANNALS OF PHYSICS, 1999, 275 (02) : 238 - 253
[10] Perturbative formalism in the t-J model: Diagrammatics and Feynman rules
Foussats, A
Greco, A
Zandron, OS
[J]. ANNALS OF PHYSICS, 2000, 279 (02) : 263 - 281

← 1 2 3 4 →