Nahm transformation on the lattice

被引:3
作者
González-Arroyo, A [1 ]
Pena, C
机构
[1] Univ Autonoma Madrid, Dept Fis Teor C XI, E-28049 Madrid, Spain
[2] Univ Autonoma Madrid, Inst Fis Teor C XVI, E-28049 Madrid, Spain
关键词
D O I
10.1016/S0920-5632(00)00295-4
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
The Nahm transformation is a duality mapping between self-dual Yang-Mills configurations on the torus, which exchanges the number of colours with the topological charge. We show how lattice gauge theory techniques can be used to implement it numerically. The method is presented and its precision illustrated with some applications.
引用
收藏
页码:533 / 535
页数:3
相关论文
共 15 条
[1]   NAHM TRANSFORMATION FOR INSTANTONS [J].
BRAAM, PJ ;
VANBAAL, P .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1989, 122 (02) :267-280
[2]   ACCELERATING WILSON FERMION MATRIX INVERSIONS BY MEANS OF THE STABILIZED BICONJUGATE GRADIENT ALGORITHM [J].
FROMMER, A ;
HANNEMANN, V ;
NOCKEL, B ;
LIPPERT, T ;
SCHILLING, K .
INTERNATIONAL JOURNAL OF MODERN PHYSICS C-PHYSICS AND COMPUTERS, 1994, 5 (06) :1073-1088
[3]  
González-Arroyo A, 1998, J HIGH ENERGY PHYS
[4]   On Nahm's transformation with twisted boundary conditions [J].
González-Arroyo, A .
NUCLEAR PHYSICS B, 1999, 548 (1-3) :626-636
[5]   Self-dual vortex-like configurations in SU(2) Yang-Mills theory [J].
González-Arroyo, A ;
Montero, A .
PHYSICS LETTERS B, 1998, 442 (1-4) :273-278
[6]  
González-Arroyo A, 1998, ADVANCED SCHOOL ON NON-PERTURBATIVE QUANTUM FIELD PHYSICS, P57
[7]   Exact T-duality between calorons and Taub-NUT spaces [J].
Kraan, TC ;
van Baal, P .
PHYSICS LETTERS B, 1998, 428 (3-4) :268-276
[8]   Monopoles and instantons on partially compactified D-branes [J].
Lee, K ;
Yi, PJ .
PHYSICAL REVIEW D, 1997, 56 (06) :3711-3717
[9]  
MONTERO A, HEPLAT9906010
[10]   A SIMPLE FORMALISM FOR THE BPS MONOPOLE [J].
NAHM, W .
PHYSICS LETTERS B, 1980, 90 (04) :413-414