João Miguel Augusto Penedones Fernandes

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Related publications (32)

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Towards bootstrapping RG flows: sine-Gordon in AdS

João Miguel Augusto Penedones Fernandes

The boundary correlation functions for a Quantum Field Theory (QFT) in an Anti-de Sitter (AdS) background can stay conformally covariant even if the bulk theory undergoes a renormalization group (RG) flow. Studying such correlation functions with the numer ...

Springer Nature2021

Trace anomalies and the graviton-dilaton amplitude

João Miguel Augusto Penedones Fernandes, Biswajit Sahoo

We consider 3+1 dimensional Quantum Field Theories (QFTs) coupled to the dilaton and the graviton. We show that the graviton-dilaton scattering amplitude receives a universal contribution which is helicity flipping and is proportional to ∆c − ∆a along any ...

Springer Nature2024

Nonperturbative Mellin amplitudes: existence, properties, applications

João Miguel Augusto Penedones Fernandes, João Pedro Alves Da Silva

We argue that nonperturbative CFT correlation functions admit a Mellin amplitude representation. Perturbative Mellin representation readily follows. We discuss the main properties of nonperturbative CFT Mellin amplitudes: subtractions, analyticity, unitari ...

Springer Nature2020

Renormalization group flows in AdS and the bootstrap program

Taro Johann Spirig, João Miguel Augusto Penedones Fernandes

We study correlation functions of the bulk stress tensor and boundary operators in Quantum Field Theories (QFT) in Anti-de Sitter (AdS) space. In particular, we derive new sum rules from the two-point function of the stress tensor and its three-point funct ...

Springer Nature2024

Fast iterative retrieval algorithm for ultrashort pulse characterization using dispersion scans

João Miguel Augusto Penedones Fernandes

We present an iterative retrieval algorithm based on data constraint for ultrashort pulse characterization using dispersion scan (d-scan). The proposed algorithm is much faster and leads to a drastic reduction of retrieval times, but, compared to the stand ...

Optical Society of America2017

Numerical data for scattering amplitudes of photon in d=4

João Miguel Augusto Penedones Fernandes, Denis Karateev, Marco Meineri, Aditya Hebbar

Numerical data for scattering amplitudes of photons in d=4 obtained by solving various optimisation problems. The data is stored in .txt files. Mathematica notebook is provided for loading and plotting the data. ...

2022

Searching for continuous phase transitions in 5D SU(2) lattice gauge theory

João Miguel Augusto Penedones Fernandes, José Pedro Gamito de Saldanha Calado Matos, Adrien Florio

We study the phase diagram of 5-dimensional SU(2) Yang-Mills theory on the lattice. We consider two extensions of the fundamental plaquette Wilson action in the search for the continuous phase transition suggested by the 4 + epsilon expansion. The extensio ...

Springer Nature2021

S-matrix bootstrap for effective field theories: massless pions

João Miguel Augusto Penedones Fernandes

We use the numerical S-matrix bootstrap method to obtain bounds on the two leading Wilson coefficients (or low energy constants) of the chiral lagrangian controlling the low-energy dynamics of massless pions. This provides a proof of concept that the numer ...

Springer Nature2021

Radial expansion for spinning conformal blocks

João Miguel Augusto Penedones Fernandes

This paper develops a method to compute any bosonic conformal block as a series expansion in the optimal radial coordinate introduced by Hogervorst and Rychkov. The method reduces to the known result when the external operators are all the same scalar oper ...

Springer Nature2016

A scattering amplitude in Conformal Field Theory

João Miguel Augusto Penedones Fernandes, Marco Meineri, Marc Gillioz

We define form factors and scattering amplitudes in Conformal Field Theory as the coefficient of the singularity of the Fourier transform of time-ordered correlation functions, as p(2) -> 0. In particular, we study a form factor F(s, t, u) obtained from a ...

Springer Nature2020

Where Is String Theory in the Space of Scattering Amplitudes?

João Miguel Augusto Penedones Fernandes, Andrea Guerrieri

We use the S-matrix bootstrap to carve out the space of unitary, crossing symmetric and supersymmetric graviton scattering amplitudes in ten dimensions. We focus on the leading Wilson coefficient a controlling the leading correction to maximal supergravity ...

AMER PHYSICAL SOC2021

Applications of dispersive sum rules: epsilon-expansion and holography

João Miguel Augusto Penedones Fernandes, João Pedro Alves Da Silva, Din Carmi

We use Mellin space dispersion relations together with Polyakov conditions to derive a family of sum rules for Conformal Field Theories (CFTs). The defining property of these sum rules is suppression of the contribution of the double twist operators. First ...

SCIPOST FOUNDATION2021