Sampling of General Correlators in Worm Algorithm-based Simulations

Using the complex $\phi^4$-model as a prototype for a system which is simulated by a (bosonic) worm algorithm, we show that not only the charged correlator $<\phi^{*}(x)\phi(y)>$, but also more general correlators such as $<|\phi(x)||\phi(y)|>$ or $<\text{arg}(\phi(x))\text{arg}(\phi(...

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Detalles Bibliográficos
Autores principales: Rindlisbacher, Tobias, Åkerlund, Oskar, de Forcrand, Philippe
Lenguaje:eng
Publicado: 2016
Materias:
Particle Physics - Lattice
Acceso en línea:https://dx.doi.org/10.1016/j.nuclphysb.2016.05.026
http://cds.cern.ch/record/2135587
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author Rindlisbacher, Tobias
Åkerlund, Oskar
de Forcrand, Philippe
author_facet Rindlisbacher, Tobias
Åkerlund, Oskar
de Forcrand, Philippe
author_sort Rindlisbacher, Tobias
collection CERN
description Using the complex $\phi^4$-model as a prototype for a system which is simulated by a (bosonic) worm algorithm, we show that not only the charged correlator $<\phi^{*}(x)\phi(y)>$, but also more general correlators such as $<|\phi(x)||\phi(y)|>$ or $<\text{arg}(\phi(x))\text{arg}(\phi(y))>$ as well as condensates like $<|\phi|>$ can be measured at every step of the Monte Carlo evolution of the worm instead of on closed-worm configurations only. The method generalizes straightforwardly to other systems simulated by (bosonic) worms, such as spin or sigma models.
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institution Organización Europea para la Investigación Nuclear
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spelling cern-21355872023-10-04T07:28:23Zdoi:10.1016/j.nuclphysb.2016.05.026http://cds.cern.ch/record/2135587engRindlisbacher, TobiasÅkerlund, Oskarde Forcrand, PhilippeSampling of General Correlators in Worm Algorithm-based SimulationsParticle Physics - LatticeUsing the complex $\phi^4$-model as a prototype for a system which is simulated by a (bosonic) worm algorithm, we show that not only the charged correlator $<\phi^{*}(x)\phi(y)>$, but also more general correlators such as $<|\phi(x)||\phi(y)|>$ or $<\text{arg}(\phi(x))\text{arg}(\phi(y))>$ as well as condensates like $<|\phi|>$ can be measured at every step of the Monte Carlo evolution of the worm instead of on closed-worm configurations only. The method generalizes straightforwardly to other systems simulated by (bosonic) worms, such as spin or sigma models.Using the complex ϕ4 -model as a prototype for a system which is simulated by a worm algorithm, we show that not only the charged correlator 〈ϕ⁎(x)ϕ(y)〉 , but also more general correlators such as 〈|ϕ(x)||ϕ(y)|〉 or 〈arg⁡(ϕ(x))arg⁡(ϕ(y))〉 , as well as condensates like 〈|ϕ|〉 , can be measured at every step of the Monte Carlo evolution of the worm instead of on closed-worm configurations only. The method generalizes straightforwardly to other systems simulated by worms, such as spin or sigma models.Using the complex $\phi^4$-model as a prototype for a system which is simulated by a worm algorithm, we show that not only the charged correlator $<\phi^{*}(x)\phi(y)>$, but also more general correlators such as $<|\phi(x)||\phi(y)|>$ or $<\text{arg}(\phi(x))\text{arg}(\phi(y))>$, as well as condensates like $<|\phi|>$, can be measured at every step of the Monte Carlo evolution of the worm instead of on closed-worm configurations only. The method generalizes straightforwardly to other systems simulated by worms, such as spin or sigma models.arXiv:1602.09017CERN-TH-2016-056CERN-TH-2016-056oai:cds.cern.ch:21355872016-02-29
spellingShingle Particle Physics - Lattice
Rindlisbacher, Tobias
Åkerlund, Oskar
de Forcrand, Philippe
Sampling of General Correlators in Worm Algorithm-based Simulations
title Sampling of General Correlators in Worm Algorithm-based Simulations
title_full Sampling of General Correlators in Worm Algorithm-based Simulations
title_fullStr Sampling of General Correlators in Worm Algorithm-based Simulations
title_full_unstemmed Sampling of General Correlators in Worm Algorithm-based Simulations
title_short Sampling of General Correlators in Worm Algorithm-based Simulations
title_sort sampling of general correlators in worm algorithm-based simulations
topic Particle Physics - Lattice
url https://dx.doi.org/10.1016/j.nuclphysb.2016.05.026
http://cds.cern.ch/record/2135587
work_keys_str_mv AT rindlisbachertobias samplingofgeneralcorrelatorsinwormalgorithmbasedsimulations
AT akerlundoskar samplingofgeneralcorrelatorsinwormalgorithmbasedsimulations
AT deforcrandphilippe samplingofgeneralcorrelatorsinwormalgorithmbasedsimulations

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