Publications related to Noether Theorems and Quantum Anomalies

Exact quantum conformal symmetry, its spontaneous breakdown, and gravitational Weyl anomaly

The classical Lagrangian of the Standard Model enjoys the symmetry of the full conformal group if the mass of the Higgs boson is put to zero. This is a hint that conformal symmetry may play a fundamental role in the ultimate theory describing nature. The o ...

AMER PHYSICAL SOC2023

Multiplicative chaos of the Brownian loop soup

Antoine Pierre François Jego, Titus Lupu

We construct a measure on the thick points of a Brownian loop soup in a bounded domain D

D

of the plane with given intensity theta>0

\theta >0

, which is formally obtained by exponentiating the square root of its occupation field. The measure is construct ...

WILEY2023

Anomalies from the covariant derivative expansion

Timothy Cohen

We revisit the calculation of chiral anomalies for global and gauge symmetries in the framework of the covariant derivative expansion (CDE). Due to the presence of UV divergences, the result is an ambiguous quantity that depends on the regularization proce ...

College Pk2023

IMPROVED REGULARITY OF SECOND DERIVATIVES FOR SUBHARMONIC FUNCTIONS

Xavier Fernandez-Real Girona, Riccardo Tione

In this note, we prove that if a subharmonic function Delta u >= 0 has pure second derivatives partial derivative(ii)u that are signed measures, then their negative part (partial derivative(ii)u)- belongs to L-1 (in particular, it is not singular). We then ...

Providence2023

Semiclassical methods in conformal field theories scrutinized by the epsilon-expansion

Gil Badel

Conformal Field Theories (CFTs) are crucial for our understanding of Quantum Field Theory (QFT). Because of their powerful symmetry properties, they play the role of signposts in the space of QFTs. Any method that gives us information about their structure ...

EPFL2022

Online Submodular Resource Allocation with Applications to Rebalancing Shared Mobility Systems

Maryam Kamgarpour, Andreas Krause, Ilija Bogunovic

Motivated by applications in shared mobility, we address the problem of allocating a group of agents to a set of resources to maximize a cumulative welfare objective. We model the welfare obtainable from each resource as a monotone DR-submodular function w ...

PMLR2021

Exploring residential preferences before and during the first COVID-19 lockdown in Switzerland

Claudia Rebeca Binder Signer, Anna Pagani, Livia Bianca Fritz, Ralph Hansmann

The first COVID-19 lockdown blurred the boundaries between all dimensions of life. Residential environments had to function as schools, offices and homes, often challenging residents’ comfort and wellbeing. In this study, we look into the effects of the fi ...

2021

Within One’s Grasp: Constructing the Weather-Clock

Ion-Gabriel Mihailescu

Christopher Wren imagined and designed a weather-clock which could register the traces of multiple meteorological instruments (barometer, thermometer, rain gauge, hygrometer etc.). Wren presented his machine on different occasions, under different forms: v ...

2019

Bloch theorem with revised boundary conditions applied to glide and screw symmetric, quasi-one-dimensional structures

Florian Paul Robert Maurin

Bloch theorem is useful for analyzing wave propagation in periodic systems. It has been widely used to determine the energy bands of various translationally-periodic crystals and with the advent of nanoscale structures like nanotubes, it has been extended ...

Elsevier2016

Weyl and Ricci gauging from the coset construction

Alexander Monin, Georgios Karananas

In this paper we demonstrate how, using the coset construction, a theory can be systematically made Weyl invariant by gauging the scale symmetry. We show that an analog of the inverse Higgs constraint allows the elimination of the Weyl vector (gauge) field ...

Amer Physical Soc2016

Noether Theorems and Quantum Anomalies

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Exact quantum conformal symmetry, its spontaneous breakdown, and gravitational Weyl anomaly

Multiplicative chaos of the Brownian loop soup

Anomalies from the covariant derivative expansion

IMPROVED REGULARITY OF SECOND DERIVATIVES FOR SUBHARMONIC FUNCTIONS

Semiclassical methods in conformal field theories scrutinized by the epsilon-expansion

Online Submodular Resource Allocation with Applications to Rebalancing Shared Mobility Systems

Exploring residential preferences before and during the first COVID-19 lockdown in Switzerland

Within One’s Grasp: Constructing the Weather-Clock

Bloch theorem with revised boundary conditions applied to glide and screw symmetric, quasi-one-dimensional structures

Weyl and Ricci gauging from the coset construction

Exact quantum conformal symmetry, its spontaneous breakdown, and gravitational Weyl anomaly

IMPROVED REGULARITY OF SECOND DERIVATIVES FOR SUBHARMONIC FUNCTIONS

Within One’s Grasp: Constructing the Weather-Clock

Anomalies from the covariant derivative expansion

Semiclassical methods in conformal field theories scrutinized by the epsilon-expansion

Bloch theorem with revised boundary conditions applied to glide and screw symmetric, quasi-one-dimensional structures

Multiplicative chaos of the Brownian loop soup

Online Submodular Resource Allocation with Applications to Rebalancing Shared Mobility Systems

Exploring residential preferences before and during the first COVID-19 lockdown in Switzerland

Weyl and Ricci gauging from the coset construction