Nonperturbative Matching Between Equal-Time and Lightcone Quantization

We investigate the nonperturbative relation between lightcone (LC) and standard equal-time (ET) quantization in the context of λϕ$^{4}$ theory in d = 2. We discuss the perturbative matching between bare parameters and the failure of its naive nonperturbative extension. We argue that they are neverth...

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Detalles Bibliográficos
Autores principales: Fitzpatrick, A. Liam, Katz, Emanuel, Walters, Matthew T.
Lenguaje:eng
Publicado: 2018
Materias:
hep-th
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1007/JHEP10(2020)092
http://cds.cern.ch/record/2652655
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author Fitzpatrick, A. Liam
Katz, Emanuel
Walters, Matthew T.
author_facet Fitzpatrick, A. Liam
Katz, Emanuel
Walters, Matthew T.
author_sort Fitzpatrick, A. Liam
collection CERN
description We investigate the nonperturbative relation between lightcone (LC) and standard equal-time (ET) quantization in the context of λϕ$^{4}$ theory in d = 2. We discuss the perturbative matching between bare parameters and the failure of its naive nonperturbative extension. We argue that they are nevertheless the same theory nonperturbatively, and that furthermore the nonperturbative map between bare parameters can be extracted from ET perturbation theory via Borel resummation of the mass gap. We test this map by using it to compare physical quantities computed using numerical Hamiltonian truncation methods in ET and LC.
id cern-2652655
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2018
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spelling cern-26526552023-10-04T05:57:15Zdoi:10.1007/JHEP10(2020)092http://cds.cern.ch/record/2652655engFitzpatrick, A. LiamKatz, EmanuelWalters, Matthew T.Nonperturbative Matching Between Equal-Time and Lightcone Quantizationhep-thParticle Physics - TheoryWe investigate the nonperturbative relation between lightcone (LC) and standard equal-time (ET) quantization in the context of λϕ$^{4}$ theory in d = 2. We discuss the perturbative matching between bare parameters and the failure of its naive nonperturbative extension. We argue that they are nevertheless the same theory nonperturbatively, and that furthermore the nonperturbative map between bare parameters can be extracted from ET perturbation theory via Borel resummation of the mass gap. We test this map by using it to compare physical quantities computed using numerical Hamiltonian truncation methods in ET and LC.We investigate the nonperturbative relation between lightcone (LC) and standard equal-time (ET) quantization in the context of $\lambda \phi^4$ theory in $d=2$. We discuss the perturbative matching between bare parameters and the failure of its naive nonperturbative extension. We argue that they are nevertheless the same theory nonperturbatively, and that furthermore the nonperturbative map between bare parameters can be extracted from ET perturbation theory via Borel resummation of the mass gap. We test this map by using it to compare physical quantities computed using numerical Hamiltonian truncation methods in ET and LC.arXiv:1812.08177CERN-TH-2018-277oai:cds.cern.ch:26526552018-12-19
spellingShingle hep-th
Particle Physics - Theory
Fitzpatrick, A. Liam
Katz, Emanuel
Walters, Matthew T.
Nonperturbative Matching Between Equal-Time and Lightcone Quantization
title Nonperturbative Matching Between Equal-Time and Lightcone Quantization
title_full Nonperturbative Matching Between Equal-Time and Lightcone Quantization
title_fullStr Nonperturbative Matching Between Equal-Time and Lightcone Quantization
title_full_unstemmed Nonperturbative Matching Between Equal-Time and Lightcone Quantization
title_short Nonperturbative Matching Between Equal-Time and Lightcone Quantization
title_sort nonperturbative matching between equal-time and lightcone quantization
topic hep-th
Particle Physics - Theory
url https://dx.doi.org/10.1007/JHEP10(2020)092
http://cds.cern.ch/record/2652655
work_keys_str_mv AT fitzpatrickaliam nonperturbativematchingbetweenequaltimeandlightconequantization
AT katzemanuel nonperturbativematchingbetweenequaltimeandlightconequantization
AT waltersmatthewt nonperturbativematchingbetweenequaltimeandlightconequantization

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