An asymptotically safe solution to the U(1) triviality problem

被引:86
作者
Christiansen, Nicolai [1 ]
Eichhorn, Astrid [1 ]
机构
[1] Heidelberg Univ, Inst Theoret Phys, Philosophenweg 16, D-69120 Heidelberg, Germany
关键词
LANDAU POLE PROBLEM; RENORMALIZATION-GROUP; GRAVITATIONAL CONTRIBUTIONS; EVOLUTION EQUATION; QUANTUM-GRAVITY; FIXED-POINTS; FIELD THEORY; SCENARIO; LECTURES; FLOW;
D O I
10.1016/j.physletb.2017.04.047
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We explore whether quantum gravity effects within the asymptotic safety paradigm can provide a predictive ultraviolet completion for Abelian gauge theories. We evaluate the effect of quantum gravity fluctuations on the running couplings in the gauge sector and discover an asymptotically safe fixed point of the Renormalization Group. In particular, if the strength of gravitational interactions remains below a critical strength, the minimal gauge coupling becomes asymptotically free. Further, we point out that a completely asymptotically free dynamics for the gauge field is impossible to achieve, as asymptotically safe quantum gravity necessarily induces non-vanishing higher-order interactions for the gauge field in the ultraviolet. (C) 2017 The Author(s). Published by Elsevier B.V.
引用
收藏
页码:154 / 160
页数:7
相关论文
共 127 条
[1]  
[Anonymous], JHEP
[2]  
[Anonymous], 1980, GEN RELATIVITY EINST
[3]  
Ashtekar A., ARXIV14084336GRQC
[4]   Asymptotically safe grand unification [J].
Bajc, Borut ;
Sannino, Francesco .
JOURNAL OF HIGH ENERGY PHYSICS, 2016, (12)
[5]   En route to Background Independence: Broken split-symmetry, and how to restore it with bi-metric average actions [J].
Becker, D. ;
Reuter, M. .
ANNALS OF PHYSICS, 2014, 350 :225-301
[6]  
Benedetti D., 2012, J HIGH ENERGY PHYS, V1206, DOI [10.1007/JHEP06(2012)017, 10.1007/JHEP10(2012)157, DOI 10.1007/JHEP10(2012)157]
[7]   Taming perturbative divergences in asymptotically safe gravity [J].
Benedetti, Dario ;
Machado, Pedro F. ;
Saueressig, Frank .
NUCLEAR PHYSICS B, 2010, 824 (1-2) :168-191
[8]   ASYMPTOTIC SAFETY IN HIGHER-DERIVATIVE GRAVITY [J].
Benedetti, Dario ;
Machado, Pedro F. ;
Saueressig, Frank .
MODERN PHYSICS LETTERS A, 2009, 24 (28) :2233-2241
[9]   Non-perturbative renormalization flow in quantum field theory and statistical physics [J].
Berges, J ;
Tetradis, N ;
Wetterich, C .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2002, 363 (4-6) :223-386
[10]  
Biemans J., ARXIV160904813HEPTH