The Universal RG Machine
Dec, 2010
38 pages
Published in:
- JHEP 06 (2011) 079
e-Print:
- 1012.3081 [hep-th]
Report number:
- MZ-TH-10-42,
- AEI-2010-165
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Abstract: (arXiv)
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 -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.- Models of Quantum Gravity
- Renormalization Group
- computer: algebra
- renormalization group: flow
- heat kernel
- Einstein-Hilbert
- nonperturbative
- transverse
- background: curvature
- ghost
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