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56 papers
3d Ising Field Theory with Magnetic Deformation: Fuzzy Sphere Meets TCSA
Giulia Fardelli, A. Liam Fitzpatrick, Emanuel Katz +1
We study the magnetic deformation of the d Ising CFT, also known as Ising Field Theory (IFT), on a spatial sphere. We use the Fuzzy Sphere (FS) Ising setup and compare it to…
Improving 3d Ising OPE Coefficients with Fuzzy Sphere Conformal Generators
Giulia Fardelli, A. Liam Fitzpatrick, Emanuel Katz
We use the special conformal generator in the Fuzzy sphere setup of the Ising CFT to determine primary states. For , we recover the known primaries and find severa…
Studying with radial quantization on the lattice: Free limit
Peter A. Boyle, Richard C. Brower, George T. Fleming +3
To investigate the three-dimensional quantum electrodynamics in the radial quantization on the lattice, the lattice action is constructed and the free limit is studied on $S^2 \tim…
Toolkit for General 2d Scalar Potential in LCT
A. Liam Fitzpatrick, Emanuel Katz, Yuan Xin
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 si…
Constructing the Infrared Conformal Generators on the Fuzzy Sphere
Giulia Fardelli, A. Liam Fitzpatrick, Emanuel Katz
We investigate the conformal algebra on the fuzzy sphere, and in particular the generators of translations and special conformal transformations which are emergent symmetries in th…
Lightcone Hamiltonian for Ising Field Theory I: T < T_c
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 effectiv…