Fuzzy CP2

被引：94

作者：

Alexanian, G

Balachandran, AP

Immirzi, G ^{[1
]}

Ydri, B

机构：

[1] Univ Perugia, Dipartimento Fis, I-06100 Perugia, Italy

[2] Ist Nazl Fis Nucl, I-06100 Perugia, Italy

[3] Syracuse Univ, Dept Phys, Syracuse, NY 13244 USA

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2002年 / 42卷 / 1-2期

基金：

美国国家科学基金会;

关键词：

fuzzy manifolds; regularization of quantum field theories;

D O I：

10.1016/S0393-0440(01)00070-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Regularization of quantum field theories (QFTs) can be achieved by quantizing the underlying manifold (spacetime or spatial slice) thereby replacing it by a non-commutative matrix model or a "fuzzy manifold". Such discretization by quantization is remarkably successful in preserving symmetries and topological features, and altogether overcoming the fermion-doubling problem. In this paper, we report on our work on applying this procedure of the four-dimensional CP2 and its QFTs. CP2 is not spin, but spin,. Its Dirac operator has many unique features. They are explained and their fuzzy versions are described. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：28 / 53

页数：26

共 57 条

[1]

ALEKSEEV AY, HEPTH98112193

[2] Generalized coherent state approach to star products and applications to the fuzzy sphere [J].

Alexanian, G ;

Pinzul, A ;

Stern, A .

NUCLEAR PHYSICS B, 2001, 600 (03) :531-547

[3] Monopoles and solitons in fuzzy physics [J].

Baez, S ;

Balachandran, AP ;

Vaidya, S ;

Ydri, B .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2000, 208 (03) :787-798

[4]

Balachandran A.P., UNPUB

[5] The fermion doubling problem and noncommutative geometry [J].

Balachandran, AP ;

Govindarajan, TR ;

Ydri, B .

MODERN PHYSICS LETTERS A, 2000, 15 (19) :1279-1286

[6] Instantons and chiral anomaly in fuzzy physics [J].

Balachandran, AP ;

Vaidya, S .

INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2001, 16 (01) :17-39

[7] MONOPOLE TOPOLOGY AND THE PROBLEM OF COLOR [J].

BALACHANDRAN, AP ;

MARMO, G ;

MUKUNDA, N ;

NILSSON, JS ;

SUDARSHAN, ECG ;

ZACCARIA, F .

PHYSICAL REVIEW LETTERS, 1983, 50 (20) :1553-1555

[8] NON-ABELIAN MONOPOLES BREAK COLOR .1. CLASSICAL MECHANICS [J].

BALACHANDRAN, AP ;

MARMO, G ;

MUKUNDA, N ;

NILSSON, JS ;

SUDARSHAN, ECG ;

ZACCARIA, F .

PHYSICAL REVIEW D, 1984, 29 (12) :2919-2935

[9] FINITE APPROXIMATIONS TO QUANTUM PHYSICS - QUANTUM POINTS AND THEIR BUNDLES [J].

BALACHANDRAN, AP ;

BIMONTE, G ;

ERCOLESSI, E ;

TEOTONIOSOBRINHO, P .

NUCLEAR PHYSICS B, 1994, 418 (03) :477-493

[10] Lattice gauge fields and noncommutative geometry [J].

Balachandran, AP ;

Bimonte, G ;

Landi, G ;

Lizzi, F ;

Teotonio-Sobrinho, P .

JOURNAL OF GEOMETRY AND PHYSICS, 1998, 24 (04) :353-385

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