Lightcone effective Hamiltonians and RG flows

A bstract We present 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 show how the prescription resolves a number of issues with LC quantization, including i)...

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Published inThe journal of high energy physics Vol. 2018; no. 8; pp. 1 - 52
Main Authors Fitzpatrick, A. Liam, Kaplan, Jared, Katz, Emanuel, Vitale, Lorenzo G., Walters, Matthew T.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2018
Springer Nature B.V
Springer Berlin
SpringerOpen
Subjects
Classical and Quantum Gravitation
Conformal Field Theory
Deformation mechanisms
Effective Field Theories
Elementary Particles
High energy physics
Measurement
Nonperturbative Effects
Physics
Physics and Astronomy
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Renormalization Group
String Theory
Renormalization Group
Effective Field Theories
Conformal Field Theory
Nonperturbative Effects
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Abstract A bstract We present 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 show 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.
AbstractList A bstract We present 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 show 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.
We present 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 show 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.
We present 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 show 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.
Abstract We present 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 show 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.
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.
ArticleNumber 120
Author Vitale, Lorenzo G.
Walters, Matthew T.
Katz, Emanuel
Fitzpatrick, A. Liam
Kaplan, Jared
Author_xml – sequence: 1
  givenname: A. Liam
  surname: Fitzpatrick
  fullname: Fitzpatrick, A. Liam
  organization: Department of Physics, Boston University
– sequence: 2
  givenname: Jared
  surname: Kaplan
  fullname: Kaplan, Jared
  organization: Department of Physics and Astronomy, Johns Hopkins University, Center for Quantum Mathematics and Physics (QMAP) UC Davis, Stanford Institute for Theoretical Physics, Stanford University
– sequence: 3
  givenname: Emanuel
  surname: Katz
  fullname: Katz, Emanuel
  organization: Department of Physics, Boston University
– sequence: 4
  givenname: Lorenzo G.
  surname: Vitale
  fullname: Vitale, Lorenzo G.
  email: lvitale@bu.edu
  organization: Department of Physics, Boston University
– sequence: 5
  givenname: Matthew T.
  surname: Walters
  fullname: Walters, Matthew T.
  organization: Department of Physics, Boston University, Theoretical Physics Department, CERN
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Snippet A bstract We present a prescription for an effective lightcone (LC) Hamiltonian that includes the effects of zero modes, focusing on the case of Conformal...
We present a prescription for an effective lightcone (LC) Hamiltonian that includes the effects of zero modes, focusing on the case of Conformal Field Theories...
We introduce a prescription for an effective lightcone (LC) Hamiltonian that includes the effects of zero modes, focusing on the case of Conformal Field...
Abstract We present a prescription for an effective lightcone (LC) Hamiltonian that includes the effects of zero modes, focusing on the case of Conformal Field...
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StartPage 1
SubjectTerms Classical and Quantum Gravitation
Conformal Field Theory
Deformation mechanisms
Effective Field Theories
Elementary Particles
High energy physics
Measurement
Nonperturbative Effects
Physics
Physics and Astronomy
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Renormalization Group
String Theory
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Title Lightcone effective Hamiltonians and RG flows
URI https://link.springer.com/article/10.1007/JHEP08(2018)120
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