Numerical Stochastic Perturbation Theory (NSPT) has over the years proved to be a valuable tool, in particular being able to reach unprecedented orders for Lattice Gauge Theories, whose perturbative expansions are notoriously cumbersome. One of the key features of the method is the possibility to expand around non-trivial vacua. While this idea has been around for a while, and it has been implemented in the case of the (non-trivial) background of the Schrödinger functional, NSPT expansions around instantons have not yet been fully worked out. Here we present computations for the double well potential in quantum mechanics. We compute a few orders of the expansion of the ground-state energy splitting in the one-instanton sector. We discuss how (already) known two-loop results are reproduced and present the current status of higher-order computations.

Numerical Stochastic Perturbation Theory around instantons / Baglioni, P.; Di Renzo, F.. - In: POS PROCEEDINGS OF SCIENCE. - ISSN 1824-8039. - 430:(2023), pp. 362.362-1-362.362-10. (Intervento presentato al convegno 39th International Symposium on Lattice Field Theory, LATTICE 2022 tenutosi a Bonn (D) nel 8-13 agosto 2022) [10.22323/1.430.0362].

Numerical Stochastic Perturbation Theory around instantons

Baglioni P.;Di Renzo F.
2023-01-01

Abstract

Numerical Stochastic Perturbation Theory (NSPT) has over the years proved to be a valuable tool, in particular being able to reach unprecedented orders for Lattice Gauge Theories, whose perturbative expansions are notoriously cumbersome. One of the key features of the method is the possibility to expand around non-trivial vacua. While this idea has been around for a while, and it has been implemented in the case of the (non-trivial) background of the Schrödinger functional, NSPT expansions around instantons have not yet been fully worked out. Here we present computations for the double well potential in quantum mechanics. We compute a few orders of the expansion of the ground-state energy splitting in the one-instanton sector. We discuss how (already) known two-loop results are reproduced and present the current status of higher-order computations.
2023
Numerical Stochastic Perturbation Theory around instantons / Baglioni, P.; Di Renzo, F.. - In: POS PROCEEDINGS OF SCIENCE. - ISSN 1824-8039. - 430:(2023), pp. 362.362-1-362.362-10. (Intervento presentato al convegno 39th International Symposium on Lattice Field Theory, LATTICE 2022 tenutosi a Bonn (D) nel 8-13 agosto 2022) [10.22323/1.430.0362].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11381/2944256
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