Renormalization group fixed points of foliated gravity-matter systems
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Renormalization group fixed points of foliated gravity-matter systems. / Biemans, Jorn; Platania, Alessia; Saueressig, Frank.
In: Journal of High Energy Physics, Vol. 2017, No. 5, 93, 01.05.2017.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Renormalization group fixed points of foliated gravity-matter systems
AU - Biemans, Jorn
AU - Platania, Alessia
AU - Saueressig, Frank
N1 - Publisher Copyright: © 2017, The Author(s).
PY - 2017/5/1
Y1 - 2017/5/1
N2 - We employ the Arnowitt-Deser-Misner formalism to study the renormalization group flow of gravity minimally coupled to an arbitrary number of scalar, vector, and Dirac fields. The decomposition of the gravitational degrees of freedom into a lapse function, shift vector, and spatial metric equips spacetime with a preferred (Euclidean) “time”- direction. In this work, we provide a detailed derivation of the renormalization group flow of Newton’s constant and the cosmological constant on a flat Friedmann-Robertson-Walker background. Adding matter fields, it is shown that their contribution to the flow is the same as in the covariant formulation and can be captured by two parameters dgdλ. We classify the resulting fixed point structure as a function of these parameters finding that the existence of non-Gaussian renormalization group fixed points is rather generic. In particular the matter content of the standard model and its most common extensions gives rise to one non-Gaussian fixed point with real critical exponents suitable for Asymptotic Safety. Moreover, we find non-Gaussian fixed points for any number of scalar matter fields, making the scenario attractive for cosmological model building.
AB - We employ the Arnowitt-Deser-Misner formalism to study the renormalization group flow of gravity minimally coupled to an arbitrary number of scalar, vector, and Dirac fields. The decomposition of the gravitational degrees of freedom into a lapse function, shift vector, and spatial metric equips spacetime with a preferred (Euclidean) “time”- direction. In this work, we provide a detailed derivation of the renormalization group flow of Newton’s constant and the cosmological constant on a flat Friedmann-Robertson-Walker background. Adding matter fields, it is shown that their contribution to the flow is the same as in the covariant formulation and can be captured by two parameters dgdλ. We classify the resulting fixed point structure as a function of these parameters finding that the existence of non-Gaussian renormalization group fixed points is rather generic. In particular the matter content of the standard model and its most common extensions gives rise to one non-Gaussian fixed point with real critical exponents suitable for Asymptotic Safety. Moreover, we find non-Gaussian fixed points for any number of scalar matter fields, making the scenario attractive for cosmological model building.
KW - Models of Quantum Gravity
KW - Renormalization Group
UR - http://www.scopus.com/inward/record.url?scp=85019840751&partnerID=8YFLogxK
U2 - 10.1007/JHEP05(2017)093
DO - 10.1007/JHEP05(2017)093
M3 - Journal article
AN - SCOPUS:85019840751
VL - 2017
JO - Journal of High Energy Physics (Online)
JF - Journal of High Energy Physics (Online)
SN - 1126-6708
IS - 5
M1 - 93
ER -
ID: 388514051