Publications related to Perturbative and non-perturbative aspects of RG flows in quantum field theory

Universality at large transverse spin in defect CFT

We study the spectrum of local operators living on a defect in a generic conformal field theory, and their coupling to the local bulk operators. We establish the existence of universal accumulation points in the spectrum at large s, s being the charge of t ...

SPRINGER2018

Walking, weak first-order transitions, and complex CFTs

Victor Gorbenko, Bernardo Zan

We discuss walking behavior in gauge theories and weak first-order phase transitions in statistical physics. Despite appearing in very different systems (QCD below the conformal window, the Potts model, deconfined criticality) these two phenomena both impl ...

SPRINGER2018

Towards a non-perturbative approach to the Hierarchy problem

Andrey Shkerin

In this report, based on [1], we suggest that the hierarchy between the Electroweak (EW) and the Planck scales can emerge due to a nonperturbative effect that relates low-energy and strong-gravity physics. In this mechanism, the EW scale results from an ex ...

EDP SCIENCES2018

Weyl sums and the Lyapunov exponent for the skew-shift Schrödinger cocycle

Marius Christopher Lemm, Rui Han

We study the one-dimensional discrete Schrödinger operator with the skew-shift potential

2\lambda\cos\left(2\pi \left(\binom{j}{2} \omega+jy+x\right)\right)

. This potential is long conjectured to behave like a random one, i.e., it is expected to produce ...

2018

Discontinuous Galerkin scheme for the spherical shallow water equations with applications to tsunami modeling and prediction

Jan Sickmann Hesthaven, Boris Bonev

We present a novel high-order discontinuous Galerkin discretization for the spherical shallow water equations, able to handle wetting/drying and non-conforming, curved meshes in a well-balanced manner. This requires a well-balanced discretization, that can ...

2018

Rotation Invariance and Directional Sensitivity: Spherical Harmonics versus Radiomics Features

Michaël Unser, Julien René Pierre Fageot, John Paul Ward, Adrien Raphaël Depeursinge

We define and investigate the Local Rotation Invariance (LRI) and Directional Sensitivity (DS) of radiomics features. Most of the classical features cannot combine the two properties, which are antagonist in simple designs. We propose texture operators bas ...

SPRINGER INTERNATIONAL PUBLISHING AG2018

Dimerization and exotic criticality in spin-S chains

Natalia Chepiga

In this thesis we have studied the emergence of spontaneously dimerized phases in frustrated spin-S chains, with emphasis on the nature of the critical lines between the dimerized and non-dimerized phases. The main numerical method used in this thesis is t ...

EPFL2017

Scale anomalies, states, and rates in conformal field theory

Marc Gillioz

This paper presents two methods to compute scale anomaly coefficients in conformal field theories (CFTs), such as the c anomaly in four dimensions, in terms of the CFT data. We first use Euclidean position space to show that the anomaly coefficient of a fo ...

2017

Horava Gravity is Asymptotically Free in 2+1 Dimensions

Sergey Sibiryakov, Diego Blas Temino, Mario Herrero Valea

We compute the beta functions of marginal couplings in projectable Horava gravity in 2 + 1 spacetime dimensions. We show that the renormalization group flow has an asymptotically free fixed point in the ultraviolet (UV), establishing the theory as a UV-com ...

American Physical Society2017

Excitation spectrum and density matrix renormalization group iterations

Frédéric Mila, Natalia Chepiga

We show that, in certain circumstances, exact excitation energies appear as locally site-independent (or flat) modes if one records the excitation spectrum of the effective Hamiltonian while sweeping through the lattice in the variational matrix-product-st ...

2017

Perturbative and non-perturbative aspects of RG flows in quantum field theory

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Universality at large transverse spin in defect CFT

Walking, weak first-order transitions, and complex CFTs

Towards a non-perturbative approach to the Hierarchy problem

Weyl sums and the Lyapunov exponent for the skew-shift Schrödinger cocycle

Discontinuous Galerkin scheme for the spherical shallow water equations with applications to tsunami modeling and prediction

Rotation Invariance and Directional Sensitivity: Spherical Harmonics versus Radiomics Features

Dimerization and exotic criticality in spin-S chains

Scale anomalies, states, and rates in conformal field theory

Horava Gravity is Asymptotically Free in 2+1 Dimensions

Excitation spectrum and density matrix renormalization group iterations

Towards a non-perturbative approach to the Hierarchy problem

Weyl sums and the Lyapunov exponent for the skew-shift Schrödinger cocycle

Scale anomalies, states, and rates in conformal field theory

Discontinuous Galerkin scheme for the spherical shallow water equations with applications to tsunami modeling and prediction

Horava Gravity is Asymptotically Free in 2+1 Dimensions

Rotation Invariance and Directional Sensitivity: Spherical Harmonics versus Radiomics Features

Dimerization and exotic criticality in spin-S chains

Excitation spectrum and density matrix renormalization group iterations

Walking, weak first-order transitions, and complex CFTs

Universality at large transverse spin in defect CFT