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In this paper, we compute multiparticle form factors of local operators in 2d $\phi^4$ theory using a recently proposed method [1] for efficiently implementing the LSZ prescription with Hamiltonian Truncation methods, and we adopt Lightcone…

High Energy Physics - Theory · Physics 2023-08-23 A. Liam Fitzpatrick , Zhengxian Mei

We both review and augment the lightcone conformal truncation (LCT) method. LCT is a Hamiltonian truncation method for calculating dynamical quantities in QFT in infinite volume. This document is a self-contained, pedagogical introduction…

High Energy Physics - Theory · Physics 2020-09-11 Nikhil Anand , A. Liam Fitzpatrick , Emanuel Katz , Zuhair U. Khandker , Matthew T. Walters , Yuan Xin

We study the Hamiltonian truncation for the two-dimensional $\lambda\phi^4$ theory within the framework of Hamiltonian truncation effective theory, where truncation artifacts are mitigated through a systematic inclusion of corrective terms…

High Energy Physics - Phenomenology · Physics 2026-02-16 Andrea Maestri , Simone Rodini , Barbara Pasquini

We use Lightcone Conformal Truncation (LCT) -- a version of Hamiltonian truncation -- to study the nonperturbative, real-time dynamics of $\phi^4$-theory in 2+1 dimensions. This theory has UV divergences that need to be regulated. We review…

High Energy Physics - Theory · Physics 2023-01-11 Nikhil Anand , Emanuel Katz , Zuhair U. Khandker , Matthew T. Walters

We combine the methods of Hamiltonian Truncation and the recently proposed generalisation of the S-matrix bootstrap that includes local operators to determine the two-particle scattering amplitude and the two-particle form factor of the…

High Energy Physics - Theory · Physics 2022-03-09 Hongbin Chen , A. Liam Fitzpatrick , Denis Karateev

We present efficient algorithms for obtaining the Hamiltonian in Lightcone Conformal Truncation (LCT) for a 2d scalar field with a generic potential. We apply this method to the sine-Gordon and sinh-Gordon models in $1+1d$, and find precise…

High Energy Physics - Theory · Physics 2025-05-15 A. Liam Fitzpatrick , Emanuel Katz , Yuan Xin

We study 2d Ising Field Theory (IFT) in the low-temperature phase in lightcone quantization, and show that integrating out zero modes generates a very compact form for the effective lightcone interaction that depends on the finite volume…

High Energy Physics - Theory · Physics 2025-06-11 A. Liam Fitzpatrick , Emanuel Katz , Yuan Xin

We present a new framework for studying conformal field theories deformed by one or more relevant operators. The original CFT is described in infinite volume using a basis of states with definite momentum, $P$, and conformal Casimir,…

High Energy Physics - Theory · Physics 2016-08-31 Emanuel Katz , Zuhair U. Khandker , Matthew T. Walters

We study the form factors of local operators of integrable QFT's between states with finite energy density. These states arise, for example, at finite temperature, or from a generalized Gibbs ensemble. We generalize Smirnov's form factor…

High Energy Physics - Theory · Physics 2019-01-23 Axel Cortés Cubero , Miłosz Panfil

We consider Lorentzian CFT Wightman functions in momentum space. In particular, we derive a set of reference formulas for computing two- and three-point functions, restricting our attention to three-point functions where the middle operator…

High Energy Physics - Theory · Physics 2020-12-08 Nikhil Anand , Zuhair U. Khandker , Matthew T. Walters

Hamiltonian Truncation Methods are a useful numerical tool to study strongly coupled QFTs. In this work we present a new method to compute the exact corrections, at any order, in the Hamiltonian Truncation approach presented by Rychkov et…

High Energy Physics - Theory · Physics 2016-05-25 J. Elias-Miro , M. Montull , M. Riembau

We compute semi-leptonic $B_s$ decay form factors using Heavy Quark Effective Theory on the lattice. To obtain good control of the $1/m_b$ expansion, one has to take into account not only the leading static order but also the terms arising…

High Energy Physics - Lattice · Physics 2018-04-18 Debasish Banerjee , Mateusz Koren , Hubert Simma , Rainer Sommer

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…

High Energy Physics - Theory · Physics 2018-08-27 A. Liam Fitzpatrick , Jared Kaplan , Emanuel Katz , Lorenzo G. Vitale , Matthew T. Walters

Hamiltonian Truncation (HT) is a numerical approach for calculating observables in a Quantum Field Theory non-perturbatively. This approach can be applied to theories constructed by deforming a conformal field theory with a relevant…

High Energy Physics - Theory · Physics 2022-04-27 Joan Elias Miro , James Ingoldby

We study 1+1 dimensional $\phi^4$ theory using the recently proposed method of conformal truncation. Starting in the UV CFT of free field theory, we construct a complete basis of states with definite conformal Casimir, $\mathcal{C}$. We use…

High Energy Physics - Theory · Physics 2017-09-13 Nikhil Anand , Vincent X. Genest , Emanuel Katz , Zuhair U. Khandker , Matthew T. Walters

Light front formalism for composite systems is presented. Derivation of equations for bound state and scattering problems are given. Methods of constructing of elastic form factors and scattering amplitudes of composite particles are…

High Energy Physics - Theory · Physics 2008-11-26 V. R. Garsevanishvili , A. A. Khelashvili , Z. R. Menteshashvili , M. S. Nioradze

We discuss the extraction of heavy-light pseudo-scalar to light pseudo-scalar decay form factors from finite time correlation functions. We place particular emphasis on the contamination from excited states employing summed ratios and input…

We study the $B \to \rho$ helicity form factors (HFFs) by applying the light-cone sum rules up to twist-4 accuracy. The HFF has some advantages in comparison to the conventionally calculated transition form factors, such as the HFF…

High Energy Physics - Phenomenology · Physics 2018-11-26 Wei Cheng , Xing-Gang Wu , Rui-Yu Zhou , Hai-Bing Fu

Hamiltonian Truncation (a.k.a. Truncated Spectrum Approach) is an efficient numerical technique to solve strongly coupled QFTs in d=2 spacetime dimensions. Further theoretical developments are needed to increase its accuracy and the range…

High Energy Physics - Theory · Physics 2017-12-19 Joan Elias-Miro , Slava Rychkov , Lorenzo G. Vitale

Form factors are important ingredients to investigate the principle of maximal transcendentality (PMT) and to extract anomalous dimensions of local gauge invariant operators. In this article, we compute several two- and three-point FFs to…

High Energy Physics - Theory · Physics 2019-11-13 Taushif Ahmed , Pulak Banerjee , Amlan Chakraborty , Prasanna K. Dhani , V. Ravindran
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