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The local RG equation and chiral anomalies

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Studies in strongly coupled quantum field theories and renormalization group flows

Bernardo Zan

This thesis presents studies in strongly coupled Renormalization Group (RG) flows. In the first part, we analyze the subject of non-local Conformal Field Theories (CFTs), arising as continuous phase transitions of statistical models with long-range interac ...

EPFL2019

Noether Theorems and Quantum Anomalies

Tudor Ratiu

A quantum anomaly is the breaking of symmetry with respect to some transformations after the quantization of a classical Hamiltonian or Lagrangian system. It is shown that both the Noether theorems (including their infinite-dimensional versions) and the ex ...

Springer Verlag2017

Magnetohydrodynamics of chiral relativistic fluids

Alexey Boyarsky, Oleg Ruchayskiy

We study the dynamics of a plasma of charged relativistic fermions at very high temperature T >> m, where m is the fermion mass, coupled to the electromagnetic field. In particular, we derive a magnetohydrodynamical description of the evolution of such a p ...

Amer Physical Soc2015

The local Callan-Symanzik equation: structure and applications

Riccardo Rattazzi, Boaz Keren Zur, Lorenzo Vitale, Florent Baume

The local Callan-Symanzik equation describes the response of a quantum field theory to local scale transformations in the presence of background sources. The consistency conditions associated with this anomalous equation imply non-trivial relations among t ...

Springer2014

The alpha-theorem and the asymptotics of 4D quantum field theory

Riccardo Rattazzi

We study the possible IR and UV asymptotics of 4D Lorentz invariant unitary quantum field theory. Our main tool is a generalization of the Komargodski-Schwimmer proof for the alpha-theorem. We use this to rule out a large class of renormalization group flo ...

Springer2013

Long-Range Magnetic Fields in the Ground State of the Standard Model Plasma

Alexey Boyarsky, Oleg Ruchayskiy

In thermal equilibrium the ground state of the plasma of Standard Model particles is determined by temperature and exactly conserved combinations of baryon and lepton numbers. We show that at nonzero values of the global charges a translation invariant and ...

American Physical Society2012

Self-Consistent Evolution of Magnetic Fields and Chiral Asymmetry in the Early Universe

Alexey Boyarsky, Oleg Ruchayskiy

We show that the evolution of magnetic fields in a primordial plasma, filled with standard model particles at temperatures T greater than or similar to 10 MeV, is strongly affected by the chiral anomaly-an effect previously neglected. Although reactions, e ...

2012

Antiferromagnetic Spin-S Chains with Exactly Dimerized Ground States

Frédéric Mila, Salvatore Manmana, Frédéric Alexis Michaud, François Vernay

We show that spin S Heisenberg spin chains with an additional three-body interaction of the form (Si-1 center dot S-i)(S-i center dot S-i (+) (1)) + H.c. possess fully dimerized ground states if the ratio of the three-body interaction to the bilinear one i ...

2012

Massive pions, anomalies and baryons in holographic QCD

Andrea Wulzer

We consider a holographic model of QCD, obtained by a very simple modification of the original construction, which describes at the same time the pion mass, the QCD anomalies and the baryons as topological solitons. We study in detail its phenomenological ...

2011

Automation of one-loop QCD computations

Valentin Hirschi

We present the complete automation of the computation of one-loop QCD corrections, including UV renormalization, to an arbitrary scattering process in the Standard Model. This is achieved by embedding the OPP integrand reduction technique, as implemented i ...

2011