Nonperturbative matching between equal-time and lightcone quantization

• 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
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP10(2020)092

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.