We apply to a lattice version of the ’t Hooft model, QCD in two space–time dimensions for large number of colours, a method recently proposed to obtain an effective mesonic action starting from the fundamental, fermionic one. The idea is to pass from a canonical, operatorial representation, where the low-energy states have a direct physical interpretation in terms of a Bogoliubov vacuum and its corresponding quasiparticle excitations, to a functional, path integral representation, via the formalism of the transfer matrix. In this way we obtain a lattice effective theory for mesons in a self-consistent setting. We also verify that well-known results from other different approaches are reproduced in the continuum limit.

Effective mesonic theory for the ’t Hooft model on the lattice / S. Caracciolo, M. Pastore. - In: ANNALS OF PHYSICS. - ISSN 0003-4916. - 403(2019 Apr), pp. 152-183. [10.1016/j.aop.2019.02.007]

Effective mesonic theory for the ’t Hooft model on the lattice

Caracciolo, Sergio;Pastore, Mauro
2019-04

Abstract

We apply to a lattice version of the ’t Hooft model, QCD in two space–time dimensions for large number of colours, a method recently proposed to obtain an effective mesonic action starting from the fundamental, fermionic one. The idea is to pass from a canonical, operatorial representation, where the low-energy states have a direct physical interpretation in terms of a Bogoliubov vacuum and its corresponding quasiparticle excitations, to a functional, path integral representation, via the formalism of the transfer matrix. In this way we obtain a lattice effective theory for mesons in a self-consistent setting. We also verify that well-known results from other different approaches are reproduced in the continuum limit.
Bosonization; Large N c expansion ; Lattice gauge theories; QCD 2; ’t Hooft model; High Energy Physics - Lattice; High Energy Physics - Lattice; Physics and Astronomy (all)
Settore FIS/02 - Fisica Teorica, Modelli e Metodi Matematici
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2434/640275
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