Lattice Hamiltonian approach to the massless Schwinger model: Precise extraction of the mass gap

Krzysztof Cichy; Agnieszka Kujawa-Cichy; Marcin Szyniszewski

doi:10.1016/j.cpc.2013.02.010

Lattice Hamiltonian approach to the massless Schwinger model: Precise extraction of the mass gap

Krzysztof Cichy, Agnieszka Kujawa-Cichy, Marcin Szyniszewski

The University of Manchester

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Abstract

We present results of applying the Hamiltonian approach to the massless Schwinger model. A finite basis is constructed using the strong coupling expansion to a very high order. Using exact diagonalization, the continuum limit can be reliably approached. This allows to reproduce the analytical results for the ground state energy, as well as the vector and scalar mass gaps to an outstanding precision better than 10-6%. © 2013 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	1666-1672
Number of pages	6
Journal	Computer Physics Communications
Volume	184
Issue number	7
DOIs	https://doi.org/10.1016/j.cpc.2013.02.010
Publication status	Published - Jul 2013

Keywords

Ground state
Hamiltonian approach
Lattice field theory
Mass gap
Schwinger model

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http://dx.doi.org/10.1016/j.cpc.2013.02.010

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title = "Lattice Hamiltonian approach to the massless Schwinger model: Precise extraction of the mass gap",

abstract = "We present results of applying the Hamiltonian approach to the massless Schwinger model. A finite basis is constructed using the strong coupling expansion to a very high order. Using exact diagonalization, the continuum limit can be reliably approached. This allows to reproduce the analytical results for the ground state energy, as well as the vector and scalar mass gaps to an outstanding precision better than 10-6%. {\textcopyright} 2013 Elsevier B.V. All rights reserved.",

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author = "Krzysztof Cichy and Agnieszka Kujawa-Cichy and Marcin Szyniszewski",

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AU - Szyniszewski, Marcin

PY - 2013/7

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AB - We present results of applying the Hamiltonian approach to the massless Schwinger model. A finite basis is constructed using the strong coupling expansion to a very high order. Using exact diagonalization, the continuum limit can be reliably approached. This allows to reproduce the analytical results for the ground state energy, as well as the vector and scalar mass gaps to an outstanding precision better than 10-6%. © 2013 Elsevier B.V. All rights reserved.

KW - Ground state

KW - Hamiltonian approach

KW - Lattice field theory

KW - Mass gap

KW - Schwinger model

U2 - 10.1016/j.cpc.2013.02.010

DO - 10.1016/j.cpc.2013.02.010

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SP - 1666

EP - 1672

JO - Computer Physics Communications

JF - Computer Physics Communications

IS - 7

ER -

Lattice Hamiltonian approach to the massless Schwinger model: Precise extraction of the mass gap

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Keywords

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