activity
20222026
most citedStrong CP problem in the quantum rotor

6 citations · 9 across the 9 of their papers we have counts for

collaborators

13 papers

hep-lat2026

A variational framework for variance reduction in lattice field theory

Pietro Butti, Guilherme Catumba, Alessandro Nada +1

The signal-to-noise problem limits the reach of many lattice calculations. We present a variational framework that recasts it as a transport problem: the loss of signal reflects a…

hep-lat2025★ 1 cited

Lattice investigation of custodial two-Higgs-doublet model at weak quartic couplings

Guilherme Catumba, Atsuki Hiraguchi, Wei-Shu Hou +5

The gauged custodial two-Higgs-doublet model, which shares the same global-symmetry properties with the standard model, is studied non-perturbatively on the lattice. The…

hep-lat2025

A Julia Code for Lattice QCD on GPUs

Guilherme Catumba, Fernando P. Panadero, Carlos Pena +1

We present a new GPU-based open source package to perform Lattice simulations developed in Julia. The code currently supports generation of SU(2) and SU(3) (pure gauge) configurati…

hep-lat2025

Stochastic automatic differentiation and the Signal to Noise problem

Guilherme Catumba, Alberto Ramos

Lattice Field theory allows to extract properties of particles in strongly coupled quantum field theories by studying Euclidean vacuum expectation values. When estimated from numer…

hep-lat2025

Lattice techniques to investigate the strong problem: lessons from a toy model

David Albandea, Guilherme Catumba, Alberto Ramos

Recent studies have claimed that the strong problem does not occur in QCD, proposing a new order of limits in volume and topological sectors when studying observables on the l…

hep-lat2024

Progress in lattice simulations for two Higgs doublet models

Guilherme Catumba, Atsuki Hiraguchi, George W. -S Hou +5

The custodial Two-Higgs-Doublet-Model with SU(2) gauge fields is studied on the lattice. This model has the same global symmetry structure as the Standard Model but the additional…

hep-lat2024

Lattice study of SU(2) gauge theory coupled to four adjoint Higgs fields

Guilherme Catumba, Atsuki Hiraguchi, Wei-Shu Hou +5

Gauge theories with matter fields in various representations play an important role in different branches of physics. Recently, it was proposed that several aspects of the interest…

hep-lat2024★ 6 cited

Strong CP problem in the quantum rotor

David Albandea, Guilherme Catumba, Alberto Ramos

Recent studies have claimed that the strong problem does not occur in QCD, proposing a new order of limits in volume and topological sectors when studying observables on the l…

hep-lat2024

The dependence of observables on action parameters

Guilherme Catumba, Alberto Ramos, Bryan Zaldivar

Many applications in Lattice field theory require to determine the Taylor series of observables with respect to action parameters. A primary example is the determination of electro…

hep-lat2023

Study of 3-dimensional SU(2) gauge theory with adjoint Higgs as a model for cuprate superconductors

Guilherme Catumba, Atsuki Hiraguchi, George W. -S. Hou +5

We study a 3-dimensional SU(2) gauge theory with 4 Higgs fields which transform under the adjoint representation of the gauge group, that has been recently proposed by Sachdev et a…

hep-lat2023

Lattice investigation of the general Two Higgs Doublet Model with gauge fields

Guilherme Catumba, Atsuki Hiraguchi, George W. -S Hou +5

We study the most general Two Higgs Doublet Model with gauge fields on the lattice. The phase space is probed through the computation of gauge-invariant global observables…

hep-lat2023★ 2 cited

Stochastic automatic differentiation for Monte Carlo processes

Guilherme Catumba, Alberto Ramos, Bryan Zaldivar

Monte Carlo methods represent a cornerstone of computer science. They allow to sample high dimensional distribution functions in an efficient way. In this paper we consider the ext…

hep-lat2022

Study of SU(2) gauge theories with multiple Higgs fields in different representations

Guilherme Catumba, Atsuki Hiraguchi, George W. -S. Hou +5

We study two different SU(2) gauge-scalar theories in 3 and 4 spacetime dimensions. Firstly, we focus on the 3 dimensional SU(2) theory with multiple Higgs fields in the adjoint re…