The basis of the physical Hilbert space of lattice gauge theories

被引：28

作者：

Burgio, G

De Pietri, R

Morales-Técotl, HA

Urrutia, LF

Vergara, JD

机构：

[1] Univ Parma, Dipartimento Fis, I-43100 Parma, Italy

[2] Ist Nazl Fis Nucl, Grp Collegato Parma, Parma, Italy

[3] CNRS, Ctr Phys Theor, F-13288 Marseille 9, France

[4] Univ Autonoma Metropolitana Iztapalapa, Dept Fis, Mexico City 09340, DF, Mexico

[5] Natl Autonomous Univ Mexico, Dept Fis Altas Energias, Inst Ciencias Nucl, Mexico City 04510, DF, Mexico

来源：

NUCLEAR PHYSICS B | 2000年 / 566卷 / 03期

关键词：

harmonic analysis; Lie groups; Hamiltonian lattice gauge theories; Mandelstam identities;

D O I：

10.1016/S0550-3213(99)00533-7

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

Non-linear Fourier analysis on compact groups is used to construct an orthonormal basis of the physical (gauge invariant) Hilbert space of Hamiltonian lattice gauge theories. In particular, the matrix elements of the Hamiltonian operator involved are explicitly computed. Finally, some applications and possible developments of the formalism are discussed. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：547 / 561

页数：15

共 24 条

[1] THE U(Q)SL(3) 6-J SYMBOLS AND STATE SUM MODEL [J].