Author:
Fitzpatrick A. Liam,Kaplan Jared,Katz Emanuel,Vitale Lorenzo G.,Walters Matthew T.
Abstract
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.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference49 articles.
1. V.P. Yurov and A.B. Zamolodchikov, Truncated fermionic space approach to the critical 2-D Ising model with magnetic field, Int. J. Mod. Phys. A 6 (1991) 4557 [INSPIRE].
2. V.P. Yurov and A.B. Zamolodchikov, Truncated conformal space approach to scaling Lee-Yang model, Int. J. Mod. Phys. A 5 (1990) 3221 [INSPIRE].
3. M. Hogervorst, S. Rychkov and B.C. van Rees, Truncated conformal space approach in d dimensions: A cheap alternative to lattice field theory?, Phys. Rev. D 91 (2015) 025005 [arXiv:1409.1581] [INSPIRE].
4. S. Rychkov and L.G. Vitale, Hamiltonian truncation study of the ϕ
4 theory in two dimensions, Phys. Rev. D 91 (2015) 085011 [arXiv:1412.3460] [INSPIRE].
5. J. Elias-Miro, M. Montull and M. Riembau, The renormalized Hamiltonian truncation method in the large E
T expansion, JHEP 04 (2016) 144 [arXiv:1512.05746] [INSPIRE].
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