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Flowing with the Temporal Renormalisation Group

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  • معلومة اضافية
    • Publication Date:
      2019
    • Collection:
      Condensed Matter
      High Energy Physics - Phenomenology
      High Energy Physics - Theory
    • Abstract:
      We discuss the far-from-equilibrium evolution of $\phi^3$-theory in $1+1$ dimensions with the temporal functional renormalisation group \cite{Gasenzer:2007za, Gasenzer:2010rq}. In particular, we show that this manifestly causal approach leads to novel one-loop exact equations for fully dressed correlation functions. Within this setup, we numerically compute the dynamical propagator. Its behaviour suggests self-similarity far from equilibrium in a restricted momentum regime. We discuss the scaling exponents for our solution, as well as the numerical satisfaction of energy and particle number conservation. We also derive a simple exact representation of the expectation value of the energy-momentum tensor solely in terms of the propagator.
      Comment: 15 pages, 16 figures
    • Accession Number:
      edsarx.1910.09369