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22-28 July 2018
Kellogg Hotel and Conference Center
EST timezone

A Lattice Study of Renormalons in Asymptotically Free Sigma Models

Jul 26, 2018, 11:40 AM
Big Ten A (Kellogg Hotel and Conference Center)

Big Ten A

Kellogg Hotel and Conference Center

219 S Harrison Rd, East Lansing, MI 48824
Theoretical Developments Theoretical Developments


Dr Matthias Puhr (University of Regensburg)


In general, perturbative expansions of observables in quantum field theories are divergent (asymptotic) series. It is often possible to apply resummation techniques to assign a unique finite value to the asymptotic series, but a particular pattern of divergence, the so-called renormalon, gives rise to non-perturbative ambiguities. The framework of numerical stochastic perturbation theory (NSPT), based on stochastic quantisation and the Langevin equation, allows us to compute the coefficients of perturbative expansions up to very high orders (>40) on the lattice. In this talk we present first results for an NSPT study of asymptotically free sigma models and discuss possible renormalon signatures in the expansion of the energy density.

Primary authors

Dr Falk Bruckmann (University of Regensburg) Dr Matthias Puhr (University of Regensburg)

Presentation Materials