Solving non-perturbative flow equations
J.Adams, J.Berges, S.Bornholdt, F.Freire, N.Tetradis, C.Wetterich
TL;DR
This paper presents a numerical method to solve non-perturbative flow equations for scalar field theories, enabling accurate determination of critical behavior and exponents.
Contribution
It introduces a numerical solution approach for approximate flow equations in three-dimensional scalar theories, advancing non-perturbative analysis.
Findings
Accurate critical exponents obtained
Numerical solutions demonstrated for scalar theories
Enhanced understanding of non-perturbative flow equations
Abstract
Non-perturbative exact flow equations describe the scale dependence of the effective average action. We present a numerical solution for an approximate form of the flow equation for the potential in a three-dimensional N-component scalar field theory. The critical behaviour, with associated critical exponents, can be inferred with good accuracy.
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