Finite temperature spectral functions in the $O(N)$ model

We directly calculate spectral functions in the O(N) model at finite temperature within the framework of the functional renormalization group. Special emphasis is put on a fully numerical framework involving four-dimensional regulators preserving Euclidean O(4) and Minkowski Lorentz invariance, an i...

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Hauptverfasser: Pawlowski, Jan M. (VerfasserIn) , Strodthoff, Nils (VerfasserIn) , Wink, Nicolas (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 9 October 2018
In: Physical review
Year: 2018, Jahrgang: 98, Heft: 7
ISSN:2470-0029
DOI:10.1103/PhysRevD.98.074008
Online-Zugang:Verlag, Volltext: https://doi.org/10.1103/PhysRevD.98.074008
Verlag, Volltext: https://link.aps.org/doi/10.1103/PhysRevD.98.074008
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Verfasserangaben:Jan M. Pawlowski, Nils Strodthoff, and Nicolas Wink

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520 |a We directly calculate spectral functions in the O(N) model at finite temperature within the framework of the functional renormalization group. Special emphasis is put on a fully numerical framework involving four-dimensional regulators preserving Euclidean O(4) and Minkowski Lorentz invariance, an important prerequisite for future applications. Pion and sigma meson spectral functions are calculated for a wide range of temperatures across the phase transition illustrating the applicability of the general framework for finite temperature applications. In addition, various aspects concerning the interplay between the Euclidean and real-time two-point function are discussed. 
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