Reanalysis of critical exponents for the <math display="inline"><mi>O</mi><mo stretchy="false">(</mo><mi>N</mi><mo stretchy="false">)</mo></math> model via a hydrodynamic approach to the functional renormalization group - INSPIRE

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Reanalysis of critical exponents for the $O (N)$ model via a hydrodynamic approach to the functional renormalization group

Fabrizio Murgana
(
- Catania U. and
- INFN, Catania and
- Frankfurt U.
)
,
Adrian Koenigstein
(
- Frankfurt U. and
- Jena U., TPI
)
,
Dirk H. Rischke
(
- Frankfurt U. and
- Helmholtz Res. Acad. Hesse for FAIR
)

Mar 29, 2023

18 pages

Published in:

Phys.Rev.D 108 (2023) 11, 116016

Published: Dec 1, 2023

e-Print:

2303.16838 [hep-th]

DOI:

10.1103/PhysRevD.108.116016 (publication)

View in:

ADS Abstract Service

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Abstract: (APS)

We reanalyze some critical exponents of the

O (N)

model within the functional renormalization group (FRG) approach in the local potential approximation (LPA). We use recent advances which are based on the observation that the FRG flow equation in LPA can be put into the form of an advection-diffusion equation. This allows to employ well-tested hydrodynamical algorithms for its solution to better estimate various sources of errors. Our results complement previous results for the critical exponents obtained within the FRG approach in LPA and compare favorably with those obtained via other methods.

Note:

Version 2: we added some references and updated affiliations

model: O(N)
potential: local
renormalization group: flow
critical phenomena
hydrodynamics
Monte Carlo
numerical calculations

References(91)

Figures(16)

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