Introduction to gauge theory

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Review of Nontopological Solitons in Theories with U(1)-Symmetry

Andrey Shkerin

We provide a review of nontopological solitonic solutions arising in theories with a complex scalar field and global or gauge U(1)-symmetry. It covers Q-balls, homogeneous charged scalar condensates, and nonlinear localized holes and bulges in a classicall ...

2020

Chiral charge dynamics in Abelian gauge theories at finite temperature

Mikhail Chapochnikov, Daniel Garcia Figueroa, Adrien Florio

We study fermion number non-conservation (or chirality breaking) in Abelian gauge theories at finite temperature. We consider the presence of a chemical potential mu for the fermionic charge, and monitor its evolution with real-time classical lattice simul ...

Springer Nature2019

Lattice formulation of axion inflation. Application to preheating

Daniel Garcia Figueroa, José Roberto Canivete Cuissa

We present a lattice formulation of an interaction phi/Lambda F (F) over tilde between an axion and some U(1) gauge sector with the following properties: it reproduces the continuum theory up to O(dx(mu)(2)) corrections, it preserves exact gauge invariance ...

IOP PUBLISHING LTD2019

Walking, weak first-order transitions, and complex CFTs

Bernardo Zan, Victor Gorbenko

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 ...

Springer Nature2018

Hybrid seesaw leptogenesis and TeV singlets

Majid Ekhterachian, Luca Vecchi

The appealing feature of inverse seesaw models is that the Standard Model (SM) neutrino mass emerges from the exchange of TeV scale singlets with sizable Yukawa couplings, which can be tested at colliders. However, the tiny Majorana mass splitting between ...

2018

Gravity, scale invariance and the hierarchy problem

Mikhail Chapochnikov, Andrey Shkerin

Combining the quantum scale invariance with the absence of new degrees of freedom above the electroweak scale leads to stability of the latter against perturbative quantum corrections. Nevertheless, the hierarchy between the weak and the Planck scales rema ...

Springer Nature2018

Chiral charge erasure via thermal fluctuations of magnetic helicity

Eray Sabancilar

We consider a relativistic plasma of fermions coupled to an Abelian gauge field and carrying a chiral charge asymmetry, which might arise in the early Universe through baryogenesis. It is known that on large length scales, lambda greater than or similar to ...

Iop Publishing Ltd2016

Large field excursions and approximate discrete symmetries from a clockwork axion

Riccardo Rattazzi

We present a renormalizable theory of scalars in which the low-energy effective theory contains a pseudo-Goldstone boson with a compact field space of 2 pi F and an approximate discrete shift symmetry Z(Q) with Q >> 1, yet the number of fields in the theor ...

American Physical Society2016

Model for superconductivity at any temperature

Mikhail Chapochnikov, Yannis Burnier, Eray Sabancilar

We construct a 2 + 1 dimensional model that sustains superconductivity at all temperatures. This is achieved by introducing a Chern-Simons mixing term between two Abelian gauge fields A and Z. The superfluid is described by a complex scalar charged under Z ...

American Physical Society2016

Renormalization of Horava gravity

Sergey Sibiryakov, Diego Blas Temino, Mario Herrero Valea

We prove perturbative renormalizability of projectable Horava gravity. The key element of the argument is the choice of a gauge which ensures the correct anisotropic scaling of the propagators and their uniform falloff at large frequencies and momenta. Thi ...

American Physical Society2016

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