Conformal truncation of chern-simons theory at large $$N$$f
Abstract
We set up and analyze the lightcone Hamiltonian for an abelian Chern-Simons field coupled to Nf fermions in the limit of large Nf using conformal truncation, i.e. with a truncated space of states corresponding to primary operators with dimension below a maximum cutoff Δmax. In both the Chern-Simons theory, and in the O(N) model at infinite N, we compute the current spectral functions analytically as a function of Δmax and reproduce previous results in the limit that the truncation Δmax is taken to ∞. Along the way, we determine how to preserve gauge invariance and how to choose an optimal discrete basis for the momenta of states in the truncation space.
- Authors:
-
- Stanford Univ., CA (United States)
- Boston Univ., MA (United States)
- Publication Date:
- Research Org.:
- Boston Univ., MA (United States); Stanford Univ., CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1612339
- Alternate Identifier(s):
- OSTI ID: 1833188
- Grant/Contract Number:
- SC0015845; SC0018134
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of High Energy Physics (Online)
- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2019; Journal Issue: 3; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Nature
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; physics; 1/N expansion, Chern-Simons Theories; field theories in higher dimensions; gauge symmetry
Citation Formats
Delacrétaz, Luca V., Fitzpatrick, A. Liam, Katz, Emanuel, and Vitale, Lorenzo G. Conformal truncation of chern-simons theory at large $N$f. United States: N. p., 2019.
Web. doi:10.1007/jhep03(2019)107.
Delacrétaz, Luca V., Fitzpatrick, A. Liam, Katz, Emanuel, & Vitale, Lorenzo G. Conformal truncation of chern-simons theory at large $N$f. United States. https://doi.org/10.1007/jhep03(2019)107
Delacrétaz, Luca V., Fitzpatrick, A. Liam, Katz, Emanuel, and Vitale, Lorenzo G. Tue .
"Conformal truncation of chern-simons theory at large $N$f". United States. https://doi.org/10.1007/jhep03(2019)107. https://www.osti.gov/servlets/purl/1612339.
@article{osti_1612339,
title = {Conformal truncation of chern-simons theory at large $N$f},
author = {Delacrétaz, Luca V. and Fitzpatrick, A. Liam and Katz, Emanuel and Vitale, Lorenzo G.},
abstractNote = {We set up and analyze the lightcone Hamiltonian for an abelian Chern-Simons field coupled to Nf fermions in the limit of large Nf using conformal truncation, i.e. with a truncated space of states corresponding to primary operators with dimension below a maximum cutoff Δmax. In both the Chern-Simons theory, and in the O(N) model at infinite N, we compute the current spectral functions analytically as a function of Δmax and reproduce previous results in the limit that the truncation Δmax is taken to ∞. Along the way, we determine how to preserve gauge invariance and how to choose an optimal discrete basis for the momenta of states in the truncation space.},
doi = {10.1007/jhep03(2019)107},
journal = {Journal of High Energy Physics (Online)},
number = 3,
volume = 2019,
place = {United States},
year = {Tue Mar 19 00:00:00 EDT 2019},
month = {Tue Mar 19 00:00:00 EDT 2019}
}
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