Local discontinuous Galerkin for the functional renormalisation group

Ihssen, Friederike; Pawlowski, Jan M.; Sattler, Franz R.; Wink, Nicolas

doi:10.1016/j.cpc.2024.109182

Computer Physics Communications

2024

DOI: 10.1016/j.cpc.2024.109182

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Local discontinuous Galerkin for the functional renormalisation group

Friederike Ihssen,

Jan M. Pawlowski,

Franz R. Sattler

et al.

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First order phase transition with the functional renormalization group method

Nagy,

Polonyi

2024

Phys. Rev. D

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The renormalization group method, more specifically the Wegner-Houghton equation, is used to find first order phase transitions in a simple scalar field theory with a polynomial potential. An improved definition of the running parameters allows us to explore the renormalization group flow down to the IR endpoint and to locate phase transitions. Beyond the expected first order transition further radiative correction generated first and second order transitions are found. The phase diagram is reviewed by a Monte-Carlo simulation of the lattice regulated version of the theory but the serious slow down of the convergence prevents us from obtaining conclusive results from the simulation. Published by the American Physical Society 2024

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First order phase transition with the functional renormalization group method

Nagy,

Polonyi

2024

Phys. Rev. D

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Local discontinuous Galerkin for the functional renormalisation group

Cited by 1 publication

References 44 publications

First order phase transition with the functional renormalization group method

First order phase transition with the functional renormalization group method

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