We investigate the possibility of using numerical stochastic perturbation theory (NSPT) to probe high orders in the perturbative expansion of lattice gauge theories with massless Wilson fermions. Twisted boundary conditions are used to regularise the gauge zero-mode; the extension of these boundary conditions to include fermions in the fundamental representation requires to introduce a smell degree of freedom. Moreover, the mass of Wilson fermions is affected by an additive renormalisation: we study how to determine the mass counterterms consistently in finite volume. The knowledge of the critical masses will enable high-order perturbative computations in massless QCD, e.g. (as a first application) for the plaquette.

High-order perturbative expansions in massless gauge theories with NSPT / Del Debbio, Luigi; Di Renzo, Francesco; Filaci, Gianluca. - In: EPJ WEB OF CONFERENCES. - ISSN 2101-6275. - 175(2018), p. 11023. ((Intervento presentato al convegno 35th International Symposium on Lattice Field Theory, Lattice 2017 tenutosi a Exhibition and Conference Centre in Granada, esp nel 18-24 June 2017 [10.1051/epjconf/201817511023].

High-order perturbative expansions in massless gauge theories with NSPT

Di Renzo, Francesco;
2018

Abstract

We investigate the possibility of using numerical stochastic perturbation theory (NSPT) to probe high orders in the perturbative expansion of lattice gauge theories with massless Wilson fermions. Twisted boundary conditions are used to regularise the gauge zero-mode; the extension of these boundary conditions to include fermions in the fundamental representation requires to introduce a smell degree of freedom. Moreover, the mass of Wilson fermions is affected by an additive renormalisation: we study how to determine the mass counterterms consistently in finite volume. The knowledge of the critical masses will enable high-order perturbative computations in massless QCD, e.g. (as a first application) for the plaquette.
High-order perturbative expansions in massless gauge theories with NSPT / Del Debbio, Luigi; Di Renzo, Francesco; Filaci, Gianluca. - In: EPJ WEB OF CONFERENCES. - ISSN 2101-6275. - 175(2018), p. 11023. ((Intervento presentato al convegno 35th International Symposium on Lattice Field Theory, Lattice 2017 tenutosi a Exhibition and Conference Centre in Granada, esp nel 18-24 June 2017 [10.1051/epjconf/201817511023].
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11381/2844273
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