Propagating gravitons vs. 'dark matter' in asymptotically safe quantum gravity

被引:18
作者
Becker, Daniel [1 ]
Reuter, Martin [1 ]
机构
[1] Johannes Gutenberg Univ Mainz, Inst Phys, D-55099 Mainz, Germany
来源
JOURNAL OF HIGH ENERGY PHYSICS | 2014年 / 12期
关键词
Models of Quantum Gravity; Classical Theories of Gravity; Nonperturbative Effects; Renormalization Group; EXACT EVOLUTION EQUATION; ULTRAVIOLET FIXED-POINT; AVERAGE ACTION; BACKGROUND INDEPENDENCE; GAUGE-THEORIES;
D O I
10.1007/JHEP12(2014)025
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
Within the Asymptotic Safety scenario, we discuss whether Quantum Einstein Gravity (QEG) can give rise to a semi-classical regime of propagating physical gravitons (gravitational waves) governed by an effective theory which complies with the standard rules of local quantum field theory. According to earlier investigations based on single-metric truncations there is a tension between this requirement and the condition of Asymptotic Safety since the former (latter) requires a positive (negative) anomalous dimension of Newton's constant. We show that the problem disappears using the bi-metric renormalization group flows that became available recently: they admit an asymptotically safe IN limit and, at the same time, a genuine semi-classical regime with a positive anomalous dimension. This brings the gravitons of QEG on a par with arbitrary (standard model, etc.) particles which exist as asymptotic states. We also argue that metric perturbations on almost Planckian scales might not be propagating, and we propose an interpretation as a form of 'dark matter'.
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页数:34
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共 118 条
[21]  
BEKENSTEIN JD, 1988, 2 CAN C GEN REL REL, P68
[22]   On the number of relevant operators in asymptotically safe gravity [J].
Benedetti, D. .
EPL, 2013, 102 (02)
[23]   Taming perturbative divergences in asymptotically safe gravity [J].
Benedetti, Dario ;
Machado, Pedro F. ;
Saueressig, Frank .
NUCLEAR PHYSICS B, 2010, 824 (1-2) :168-191
[24]   ASYMPTOTIC SAFETY IN HIGHER-DERIVATIVE GRAVITY [J].
Benedetti, Dario ;
Machado, Pedro F. ;
Saueressig, Frank .
MODERN PHYSICS LETTERS A, 2009, 24 (28) :2233-2241
[25]   Quantum gravitational corrections to the nonrelativistic scattering potential of two masses [J].
Bjerrum-Bohr, NEJ ;
Donoghue, JF ;
Holstein, BR .
PHYSICAL REVIEW D, 2003, 67 (08)
[26]   Nonlocal modification of Newtonian gravity [J].
Blome, Hans-Joachim ;
Chicone, Carmen ;
Hehl, Friedrich W. ;
Mashhoon, Bahram .
PHYSICAL REVIEW D, 2010, 81 (06)
[27]   ARBITRARY POWERS OF DALEMBERTIANS AND THE HUYGENS PRINCIPLE [J].
BOLLINI, CG ;
GIAMBIAGI, JJ .
JOURNAL OF MATHEMATICAL PHYSICS, 1993, 34 (02) :610-621
[28]  
Bonanno A, 2005, J HIGH ENERGY PHYS
[29]   Modulated ground state of gravity theories with stabilized conformal factor [J].
Bonanno, A. ;
Reuter, M. .
PHYSICAL REVIEW D, 2013, 87 (08)
[30]   Cosmology of the Planck era from a renormalization group for quantum gravity [J].
Bonanno, A ;
Reuter, M .
PHYSICAL REVIEW D, 2002, 65 (04)