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  The universal RG machine

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.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-D188-0 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-D18C-8
Genre: Journal Article

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Dario Benedetti, Kai Groh, Machado und Saueressig
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 Creators:
Benedetti, Dario1, Author              
Groh, Kai, Author
Machado, Pedro F. , Author
Saueressig, Frank , Author
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1Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_67201              

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 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.

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 Dates: 2010-12-062011
 Publication Status: Published in print
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 Identifiers: arXiv: 1012.3081
DOI: 10.1007/JHEP06(2011)079
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Title: Journal of High Energy Physics
Source Genre: Journal
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Publ. Info: Bologna, Italy : Società italiana di fisica
Pages: - Volume / Issue: 2011 Sequence Number: 079 Start / End Page: - Identifier: ISSN: 1126-6708
CoNE: /journals/resource/111021927548002_1