English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT

Released

Journal Article

The universal RG machine

MPS-Authors
/persons/resource/persons4798

Benedetti,  Dario
Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

External Resource
No external resources are shared
Fulltext (restricted access)
There are currently no full texts shared for your IP range.
Fulltext (public)

1012.3081v1.pdf
(Preprint), 390KB

JHEP2011_079.pdf
(Any fulltext), 611KB

Supplementary Material (public)
There is no public supplementary material available
Citation

Benedetti, D., Groh, K., Machado, P. F., & Saueressig, F. (2011). The universal RG machine. Journal of High Energy Physics, 2011: 079. doi:10.1007/JHEP06(2011)079.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0012-D188-0
Abstract
Functional Renormalization Group Equations constitute a powerful tool to encode the perturbative and non-perturbative properties of a physical system. We present an algorithm to systematically compute the expansion of such flow equations in a given background quantity specified by the approximation scheme. The method is based on off-diagonal heat-kernel techniques and can be implemented on a computer algebra system, opening access to complex computations in, e.g., Gravity or Yang-Mills theory. In a first illustrative example, we re-derive the gravitational $\beta$-functions of the Einstein-Hilbert truncation, demonstrating their background-independence. As an additional result, the heat-kernel coefficients for transverse vectors and transverse-traceless symmetric matrices are computed to second order in the curvature.