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Derivative expansion and renormalization group flows

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journal contribution
posted on 2023-06-07, 19:43 authored by Daniel LitimDaniel Litim
We study the convergence of the derivative expansion for flow equations. The convergence strongly depends on the choice for the infrared regularisation. Based on the structure of the flow, we explain why optimised regulators lead to better physical predictions. This is applied to O(N)-symmetric real scalar field theories in 3d, where critical exponents are computed for all N. In comparison to the sharp cut-off regulator, an optimised flow improves the leading order result up to 10%. An analogous reasoning is employed for a proper time renormalisation group. We compare our results with those obtained by other methods.

History

Publication status

  • Published

File Version

  • Published version

Journal

Journal of High Energy Physics

ISSN

1126-6708

Publisher

Institute of Physics

Issue

11

Page range

059

Pages

15.0

Department affiliated with

  • Physics and Astronomy Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

First Open Access (FOA) Date

2016-03-22

First Compliant Deposit (FCD) Date

2016-08-17

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