# A First-Quantized Model for Unparticles and Gauge Theories around Conformal Window

@article{Boulanger2021AFM, title={A First-Quantized Model for Unparticles and Gauge Theories around Conformal Window}, author={N. Boulanger and Fabien Buisseret and G. Lhost}, journal={Universe}, year={2021} }

We first quantize an action proposed by Casalbuoni and Gomis in 2014 that describes two massless relativistic scalar particles interacting via a conformally invariant potential. The spectrum is a continuum of massive states that may be interpreted as unparticles. We then obtain in a similar way the mass operator for a deformed action in which two terms are introduced that break the conformal symmetry: a mass term and an extra position-dependent coupling constant. A simple Ansatz for the latter…

## Figures from this paper

## References

SHOWING 1-10 OF 55 REFERENCES

Gapped continuum Kaluza-Klein spectrum

- PhysicsJournal of High Energy Physics
- 2019

Abstract
We consider a warped five-dimensional model with an ultraviolet (UV) brane and, on top of the Standard Model isolated modes, continua of KK modes with different mass gaps for all…

On the particle spectrum and the conformal window

- Physics
- 2014

A bstractWe study the SU(3) gauge theory with twelve flavours of fermions in the fundamental representation as a prototype of non-Abelian gauge theories inside the conformal window. Guided by the…

Numerical results for gauge theories near the conformal window

- Physics
- 2015

A novel strong interaction beyond the standard model could provide a dynamical explanation of electroweak symmetry breaking. Experimental results strongly constrain properties of models that realise…

Conformal Windows of SU(N) Gauge Theories, Higher Dimensional Representations and The Size of The Unparticle World

- Physics
- 2007

We present the conformal windows of SU(N) supersymmetric and nonsupersymmetric gauge theories with vectorlike matter transforming according to higher irreducible representations of the gauge group.…

Conformal symmetry for relativistic point particles

- Physics
- 2014

In this paper we consider conformal dynamics for a system of $N$ interacting relativistic massless particles. A detailed study is done for the case of two particles, with a particular attention to…

Conformal symmetry for relativistic point particles: an addendum

- Physics
- 2014

In a previous paper [1], we have studied a conformal invariant model for two interacting relativistic particles. Our hypothesis was that the theory could be described in terms of the four-velocities…

Spectrum of SU(2) lattice gauge theory with two adjoint Dirac flavours

- Physics
- 2009

An SU(2) gauge theory with two fermions transforming under the adjoint representation of the gauge group may appear conformal or almost conformal in the infrared. We use lattice simulations to study…

Unparticle realization through continuous mass scale invariant theories

- Physics
- 2008

We consider scale invariant theories of continuous mass fields and show how interactions of these fields with the standard model can reproduce unparticle interactions. There is no fixed point or…

Large volumes and spectroscopy of walking theories

- Physics
- 2016

A detailed investigation of finite size effects is performed for SU(2) gauge theory with two fermions in the adjoint representation, which previous lattice studies have shown to be inside the…