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Title: Lightcone effective Hamiltonians and RG flows

Abstract

We introduce a prescription for an effective lightcone (LC) Hamiltonian that includes the effects of zero modes, focusing on the case of Conformal Field Theories (CFTs) deformed by relevant operators. We display how the prescription resolves a number of issues with LC quantization, including i) the apparent non-renormalization of the vacuum, ii) discrepancies in critical values of bare parameters in equal-time vs LC quantization, and iii) an inconsistency at large N in CFTs with simple AdS duals. We describe how LC quantization can drastically simplify Hamiltonian truncation methods applied to some large N CFTs, and discuss how the prescription identifies theories where these simplifications occur. We demonstrate and check our prescription in a number of examples.

Authors:
 [1];  [2];  [1];  [1];  [3]
  1. Boston Univ., Boston, MA (United States)
  2. Johns Hopkins Univ., Baltimore, MD (United States); Univ. of California, Davis, CA (United States); Stanford Univ., CA (United States)
  3. Boston Univ., Boston, MA (United States); European Organization for Nuclear Research (CERN), Geneva (Switzerland)
Publication Date:
Research Org.:
Boston Univ., MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1512426
Grant/Contract Number:  
[SC0015845]
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: 2018; Journal Issue: 8]; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Effective Field Theories; Nonperturbative Effects; Renormalization Group; Conformal Field Theory

Citation Formats

Fitzpatrick, A. Liam, Kaplan, Jared, Katz, Emanuel, Vitale, Lorenzo G., and Walters, Matthew T. Lightcone effective Hamiltonians and RG flows. United States: N. p., 2018. Web. doi:10.1007/jhep08(2018)120.
Fitzpatrick, A. Liam, Kaplan, Jared, Katz, Emanuel, Vitale, Lorenzo G., & Walters, Matthew T. Lightcone effective Hamiltonians and RG flows. United States. doi:10.1007/jhep08(2018)120.
Fitzpatrick, A. Liam, Kaplan, Jared, Katz, Emanuel, Vitale, Lorenzo G., and Walters, Matthew T. Tue . "Lightcone effective Hamiltonians and RG flows". United States. doi:10.1007/jhep08(2018)120. https://www.osti.gov/servlets/purl/1512426.
@article{osti_1512426,
title = {Lightcone effective Hamiltonians and RG flows},
author = {Fitzpatrick, A. Liam and Kaplan, Jared and Katz, Emanuel and Vitale, Lorenzo G. and Walters, Matthew T.},
abstractNote = {We introduce a prescription for an effective lightcone (LC) Hamiltonian that includes the effects of zero modes, focusing on the case of Conformal Field Theories (CFTs) deformed by relevant operators. We display how the prescription resolves a number of issues with LC quantization, including i) the apparent non-renormalization of the vacuum, ii) discrepancies in critical values of bare parameters in equal-time vs LC quantization, and iii) an inconsistency at large N in CFTs with simple AdS duals. We describe how LC quantization can drastically simplify Hamiltonian truncation methods applied to some large N CFTs, and discuss how the prescription identifies theories where these simplifications occur. We demonstrate and check our prescription in a number of examples.},
doi = {10.1007/jhep08(2018)120},
journal = {Journal of High Energy Physics (Online)},
number = [8],
volume = [2018],
place = {United States},
year = {2018},
month = {8}
}

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