Renormalization flow of QED

被引:60
作者
Gies, H [1 ]
Jaeckel, J [1 ]
机构
[1] Heidelberg Univ, Inst Theoret Phys, D-69120 Heidelberg, Germany
关键词
D O I
10.1103/PhysRevLett.93.110405
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We investigate textbook QED in the framework of the exact renormalization group. In the strong-coupling region, we study the influence of fluctuation-induced photonic and fermionic self-interactions on the nonperturbative running of the gauge coupling. Our findings confirm the triviality hypothesis of complete charge screening if the ultraviolet cutoff is sent to infinity. Though the Landau pole does not belong to the physical coupling domain owing to spontaneous chiral-symmetry-breaking (chiSB), the theory predicts a scale of maximal UV extension of the same order as the Landau pole scale. In addition, we verify that the chiSB phase of the theory which is characterized by a light fermion and a Goldstone boson also has a trivial Yukawa coupling.
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页码:110405 / 1
页数:4
相关论文
共 20 条
[1]   The infrared behaviour of QCD Green's functions - Confinement, dynamical symmetry breaking, and hadrons as relativistic bound states [J].
Alkofer, R ;
von Smekal, L .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2001, 353 (5-6) :281-465
[2]   Non-perturbative renormalization group analysis of the chiral critical behavior in QED [J].
Aoki, K ;
Morikawa, K ;
Sumi, J ;
Terao, H ;
Tomoyose, M .
PROGRESS OF THEORETICAL PHYSICS, 1997, 97 (03) :479-489
[3]   QUANTUM ELECTRODYNAMICS AT SMALL DISTANCES [J].
GELLMANN, M ;
LOW, FE .
PHYSICAL REVIEW, 1954, 95 (05) :1300-1312
[4]   Universality of spontaneous chiral symmetry breaking in gauge theories [J].
Gies, H ;
Wetterich, C .
PHYSICAL REVIEW D, 2004, 69 (02)
[5]   Renormalizability of gauge theories in extra dimensions [J].
Gies, H .
PHYSICAL REVIEW D, 2003, 68 (08)
[6]   Renormalization flow of bound states [J].
Gies, H ;
Wetterich, C .
PHYSICAL REVIEW D, 2002, 65 (06)
[7]   Running coupling in Yang-Mills theory: A flow equation study [J].
Gies, H .
PHYSICAL REVIEW D, 2002, 66 (02)
[8]  
GIES H, HEPPH0312034
[9]   Resolution of the Landau pole problem in QED [J].
Gockeler, M ;
Horsley, R ;
Linke, V ;
Rakow, P ;
Schierholz, G ;
Stuben, H .
NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 1998, 63 :694-696
[10]   Is there a Landau pole problem in QED? [J].
Gockeler, M ;
Horsley, R ;
Linke, V ;
Rakow, P ;
Schierholz, G ;
Stuben, H .
PHYSICAL REVIEW LETTERS, 1998, 80 (19) :4119-4122