One-loop UV divergent structure of U(1) Yang-Mills theory on noncommutative R4

被引:203
作者
Martín, CP [1 ]
Sánchez-Ruiz, D [1 ]
机构
[1] Univ Complutense, Dept Fis Teor 1, E-28040 Madrid, Spain
关键词
D O I
10.1103/PhysRevLett.83.476
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We show that U(1) Yang-Mills theory on noncommutative R-4 can be renormalized at the one-loop level by multiplicative dimensional renormalization of the coupling constant and fields of the theory. We compute the beta Function of the theory and conclude that the theory is asymptotically free. We also show that the Weyl-Moyal matrix defining the deformed product over the space of functions on R-4 is not renormalized at the one-loop level.
引用
收藏
页码:476 / 479
页数:4
相关论文
共 27 条
[1]  
[Anonymous], SPRINGER LECT NOTES
[2]  
Ardalan F, HEPTH9803067
[3]   DIMENSIONAL RENORMALIZATION AND ACTION PRINCIPLE [J].
BREITENLOHNER, P ;
MAISON, D .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1977, 52 (01) :11-38
[4]   Algebraic treatment of compactification on noncommutative tori [J].
Casalbuoni, R .
PHYSICS LETTERS B, 1998, 431 (1-2) :69-72
[5]  
CHAICHIAN M, HEPTH9812180
[6]   Non-commutative geometry from 0-branes in a background B-field [J].
Cheung, YKE ;
Krogh, M .
NUCLEAR PHYSICS B, 1998, 528 (1-2) :185-196
[7]  
Connes A, 1998, J HIGH ENERGY PHYS
[8]  
Connes A., 1994, NONCOMMUTATIVE GEOME
[9]   SPACETIME QUANTIZATION INDUCED BY CLASSICAL GRAVITY [J].
DOPLICHER, S ;
FREDENHAGEN, K ;
ROBERTS, JE .
PHYSICS LETTERS B, 1994, 331 (1-2) :39-44
[10]   THE QUANTUM STRUCTURE OF SPACETIME AT THE PLANCK-SCALE AND QUANTUM-FIELDS [J].
DOPLICHER, S ;
FREDENHAGEN, K ;
ROBERTS, JE .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1995, 172 (01) :187-220