Nonperturbative matching between equal-time and lightcone quantization
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Published version
Date
2020-10
Authors
Fitzpatrick, A. Liam
Katz, Emanuel
Walters, Matthew T.
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Published version
OA Version
Citation
A.L. Fitzpatrick, E. Katz, M.T. Walters. 2020. "Nonperturbative matching between equal-time and lightcone quantization." Journal of High Energy Physics, Volume 2020, Issue 10, https://doi.org/10.1007/jhep10(2020)092
Abstract
We investigate the nonperturbative relation between lightcone (LC) and standard equal-time (ET) quantization in the context of λϕ4 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.
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Copyright The Authors. Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.