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We introduce a new optimization procedure for Euclidean path integrals which compute wave functionals in conformal field theories (CFTs). We optimize the background metric in the space on which the path integration is performed.…

High Energy Physics - Theory · Physics 2017-08-30 Pawel Caputa , Nilay Kundu , Masamichi Miyaji , Tadashi Takayanagi , Kento Watanabe

In this paper we consider the energy and momentum transport in (1+1)-dimension conformal field theories (CFTs) that are deformed by an irrelevant operator $T\bar{T}$, using the integrability based generalized hydrodynamics, and holography.…

Statistical Mechanics · Physics 2021-03-23 Marko Medenjak , Giuseppe Policastro , Takato Yoshimura

We study relevant deformations of conformal field theory on a cylinder using conformal perturbation theory, and in particular the one point function of the deformation operator and the energy in a system after a quench. We do the one point…

High Energy Physics - Theory · Physics 2014-11-05 David Berenstein , Alexandra Miller

A matrix model of an asymptotically free theory with a bound state is solved using a perturbative similarity renormalization group for hamiltonians. An effective hamiltonian with a small width, calculated including the first three terms in…

High Energy Physics - Theory · Physics 2007-05-23 Stanislaw D. Glazek

We develop methods for computing the effective action at infinite momentum for $1+1d$ QFTs at finite volume which do not rely on the theory having a Lagrangian description. We do this by taking the infinite momentum limit of equal-time…

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

Conformal Field Theories (CFTs) have rich dynamics in heavy states. We describe the constraints due to spontaneously broken boost and dilatation symmetries in such states. The spontaneously broken boost symmetries require the existence of…

High Energy Physics - Theory · Physics 2021-09-29 Zohar Komargodski , Márk Mezei , Sridip Pal , Avia Raviv-Moshe

The novel concept of entanglement renormalization and its corresponding tensor network renormalization technique have been highly successful in developing a controlled real space renormalization group (RG) scheme. Numerically approximate…

Strongly Correlated Electrons · Physics 2025-03-06 Gong Cheng , Lin Chen , Zheng-Cheng Gu , Ling-Yan Hung

We develop a systematic method for computing a renormalized light-front field theory Hamiltonian that can lead to bound states that rapidly converge in an expansion in free-particle Fock-space sectors. To accomplish this without dropping…

High Energy Physics - Theory · Physics 2009-10-31 Brent H. Allen , Robert J. Perry

We present a novel semiclassical framework tailored to determine the scaling dimensions of heavy neutral composite operators in conformal field theories (CFTs) which are inaccessible with other current methodologies. It utilizes the…

High Energy Physics - Theory · Physics 2026-02-03 Oleg Antipin , Jahmall Bersini , Jacob Hafjall , Giulia Muco , Francesco Sannino

The crossing equations of a conformal field theory can be systematically truncated to a finite, closed system of polynomial equations. In certain cases, solutions of the truncated equations place strict bounds on the space of all unitary…

High Energy Physics - Theory · Physics 2019-06-26 Nima Afkhami-Jeddi , Thomas Hartman , Amirhossein Tajdini

We demonstrate that the fidelity between a pure state trivial insulator and the mixed state density matrix of a Chern insulator under decoherence can be mapped to a variety of two-dimensional conformal field theories (CFT); more…

Strongly Correlated Electrons · Physics 2024-01-25 Kaixiang Su , Nayan Myerson-Jain , Cenke Xu

Systems as diverse as binary mixtures and inclusions in biological membranes, and many more, can be described effectively by interacting spins. When the critical fluctuations in these systems are constrained by boundary conditions, critical…

Statistical Mechanics · Physics 2019-01-23 Jerome Dubail , Raoul Santachiara , Thorsten Emig

Boundaries not only are fundamental elements in nearly all realistic physical systems, but also greatly enrich the structure of quantum field theories. In this paper, we demonstrate that conformal field theory (CFT) with a boundary, known…

High Energy Physics - Theory · Physics 2025-01-29 Zheng Zhou , Yijian Zou

Hamiltonian Truncation Effective Theory is a framework that aims to improve the results of Hamiltonian truncation in a systematic, order-by-order fashion using Effective Field Theory methodology. The result is a truncated effective…

High Energy Physics - Theory · Physics 2025-07-30 Ekrem Demiray , Kara Farnsworth , Rachel Houtz

The process of renormalisation in nonperturbative Hamiltonian Effective Field Theory (HEFT) is examined in the $\Delta$-resonance scattering channel. As an extension of effective field theory incorporating the L\"uscher formalism, HEFT…

High Energy Physics - Lattice · Physics 2022-08-31 Curtis D. Abell , Derek B. Leinweber , Anthony W. Thomas , Jia-Jun Wu

The unitary Fermi gas, by virtue of its description as a nonrelativistic conformal field theory, has proven an interesting system by which the quantum properties of CFT can be held to experimental verification. Here, we examine the…

High Energy Physics - Theory · Physics 2022-06-10 Simeon Hellerman , Domenico Orlando , Vito Pellizzani , Susanne Reffert , Ian Swanson

Conformal field theory has recently been applied to derive few-body Hamiltonians whose ground states are lattice versions of fractional quantum Hall states. The exact lattice models involve interactions over long distances, which is…

Strongly Correlated Electrons · Physics 2019-07-25 Dillip K. Nandy , N. S. Srivatsa , Anne E. B. Nielsen

We study solvable spin chains, one-dimensional massless Dirac fermions, and conformal field theories (CFTs) with sine-square deformation (SSD), in which the Hamiltonian density is modulated by the function $f(x)=\sin^2 (\pi x/\ell)$, where…

Statistical Mechanics · Physics 2015-03-19 Hosho Katsura

A new numerical approach to entanglement entropies of the Renyi type is proposed for one-dimensional quantum field theories. The method extends the truncated conformal spectrum approach and we will demonstrate that it is especially suited…

Statistical Mechanics · Physics 2016-06-23 T. Palmai

We study at zero temperature a microscopic quantum spin-1 model on the fuzzy sphere that realizes the $O(2)$ Wilson-Fisher conformal field theory (CFT) in $(2+1)$-dimensional spacetime at a quantum critical point. Here, we use the…

Strongly Correlated Electrons · Physics 2026-04-29 Arjun Dey , Loic Herviou , Christopher Mudry , Slava Rychkov , Andreas Martin Läuchli
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