Nonperturbative matching between equal-time and lightcone quantization

A bstract 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 n...

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Published in	The journal of high energy physics Vol. 2020; no. 10; pp. 1 - 27
Main Authors	Fitzpatrick, A. Liam, Katz, Emanuel, Walters, Matthew T.
Format	Journal Article
Language	English
Published	Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2020 Springer Nature B.V Springer Nature SpringerOpen
Subjects	Approximation Classical and Quantum Gravitation Conformal Field Theory Elementary Particles Field Theories in Lower Dimensions High energy physics Matching Measurement Nonperturbative Effects Numerical methods Parameters Perturbation theory Physics Physics and Astronomy PHYSICS OF ELEMENTARY PARTICLES AND FIELDS Quantum Field Theories Quantum Field Theory Quantum Physics Regular Article - Theoretical Physics Relativity Theory String Theory Field Theories in Lower Dimensions Conformal Field Theory Nonperturbative Effects
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Abstract	A bstract 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.
AbstractList	A bstract 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. 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. Abstract 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. 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. 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.
ArticleNumber	92
Author	Walters, Matthew T. Katz, Emanuel Fitzpatrick, A. Liam
Author_xml	– sequence: 1 givenname: A. Liam surname: Fitzpatrick fullname: Fitzpatrick, A. Liam organization: Department of Physics, Boston University – sequence: 2 givenname: Emanuel surname: Katz fullname: Katz, Emanuel organization: Department of Physics, Boston University – sequence: 3 givenname: Matthew T. orcidid: 0000-0001-8063-7228 surname: Walters fullname: Walters, Matthew T. email: matthew.walters@cern.ch organization: Theoretical Physics Department, CERN, Esplanade des Particules
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Snippet	A bstract 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 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... 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... 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... Abstract We investigate the nonperturbative relation between lightcone (LC) and standard equal-time (ET) quantization in the context of λϕ 4 theory in d = 2....
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SubjectTerms	Approximation Classical and Quantum Gravitation Conformal Field Theory Elementary Particles Field Theories in Lower Dimensions High energy physics Matching Measurement Nonperturbative Effects Numerical methods Parameters Perturbation theory Physics Physics and Astronomy PHYSICS OF ELEMENTARY PARTICLES AND FIELDS Quantum Field Theories Quantum Field Theory Quantum Physics Regular Article - Theoretical Physics Relativity Theory String Theory
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Title	Nonperturbative matching between equal-time and lightcone quantization
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