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Classical conformal invariance of QCD in the chiral limit is broken explicitly by scale anomaly. As a result, the lightest scalar particle (scalar glueball, or dilaton) in QCD is not light, and cannot be described as a Goldstone boson.…

High Energy Physics - Phenomenology · Physics 2015-05-13 Dmitri Kharzeev , Eugene Levin , Kirill Tuchin

The dilaton is investigated from first principles in an asymptotically free Gross-Neveu-Yukawa theory in three dimensions. In the limit of many fermion flavours, the theory features a finite line of strongly interacting fixed points with…

High Energy Physics - Theory · Physics 2025-02-04 Charlie Cresswell-Hogg , Daniel F. Litim , Roman Zwicky

Dilatation, i.e. scale, symmetry in the presence of the dilaton in Minkowski space is derived from diffeomorphism symmetry in curved spacetime, incorporating the volume-preserving diffeomorphisms. The conditions for scale invariance are…

High Energy Physics - Theory · Physics 2008-02-03 HoSeong La

We explore the phase structure of a chiral model of constituent quarks and gluons implementing scale symmetry breaking at finite temperature and chemical potential. In this model the chiral dynamics is intimately linked to the trace anomaly…

High Energy Physics - Phenomenology · Physics 2015-05-30 Chihiro Sasaki , Igor Mishustin

An SU(2) lattice gauge theory with two doublets of complex scalar fields is considered. All continuous symmetries are identified and, using the nonperturbative methods of lattice field theory, the phase diagram is mapped out by direct…

High Energy Physics - Lattice · Physics 2010-09-02 Randy Lewis , R. M. Woloshyn

Many models of beyond Standard Model physics connect flavor symmetry with a discrete group. Having this symmetry arise spontaneously from a gauge theory maintains compatibility with quantum gravity and can be used to systematically prevent…

High Energy Physics - Phenomenology · Physics 2017-09-13 Bradley L. Rachlin , Thomas W. Kephart

We propose a scheme leading to a non-perturbative definition of lattice field theories which are scale-invariant on the quantum level. A key idea of the construction is the replacement of the lattice spacing by a propagating dynamical field…

High Energy Physics - Theory · Physics 2010-12-09 Mikhail E. Shaposhnikov , Igor I. Tkachev

Gravitational theories with fixed background fields break local Lorentz and diffeomorphism invariance either explicitly or spontaneously. In the case of explicit breaking it is known that conflicts can arise between the dynamics and…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Robert Bluhm

We present a scale invariant extension of the standard model with new QCD-like strong interaction in the hidden sector. A scale $\Lambda_H$ is dynamically generated in the hidden sector by dimensional transmutation, and chiral symmetry…

High Energy Physics - Phenomenology · Physics 2011-04-20 Taeil Hur , P. Ko

We explore the possibility that scale symmetry is a quantum symmetry that is broken only spontaneously and apply this idea to the Standard Model (SM). We compute the quantum corrections to the potential of the higgs field ($\phi$) in the…

High Energy Physics - Phenomenology · Physics 2017-10-04 D. M. Ghilencea , Z. Lalak , P. Olszewski

A semiclassical picture of spontaneous symmetry breaking in light front field theory is formulated. It is based on a finite-volume quantization of self-interacting scalar fields obeying antiperiodic boundary conditions. This choice avoids a…

High Energy Physics - Theory · Physics 2008-12-18 L. Martinovic

We consider a scale symmetric extension of the Standard Model Higgs scalar sector. The new sector, dilaton, is responsible for the generation of mass scales and may have geometric origin in the Weyl gravity $\tilde{R}^2$ term. We show how…

High Energy Physics - Phenomenology · Physics 2023-08-09 Zygmunt Lalak , Paulina Michalak

Conformal Field Theories (CFTs) have rich dynamics in heavy states. We describe the constraints due to spontaneously broken boost and dilatation symmetries in such states. The spontaneously broken boost symmetries require the existence of…

High Energy Physics - Theory · Physics 2021-09-29 Zohar Komargodski , Márk Mezei , Sridip Pal , Avia Raviv-Moshe

We construct a self-consistent holographic QCD model which can realize two most important phenomena of QCD, i.e. chiral symmetry breaking and confinement. The model is formulated in the framework of graviton-dilaton-scalar system, where the…

High Energy Physics - Phenomenology · Physics 2015-06-11 Danning Li , Mei Huang , Qi-Shu Yan

We propose a new dynamics of the electroweak symmetry breaking in a classically scale invariant version of the standard model. The scale invariance is broken by the condensations of additional fermions under a strong coupling dynamics. The…

High Energy Physics - Phenomenology · Physics 2016-03-23 Naoyuki Haba , Hiroyuki Ishida , Noriaki Kitazawa , Yuya Yamaguchi

We investigate non-linear extensions of the holographic soft wall model proposed by Karch, Katz, Son and Stephanov [1] including non-minimal couplings in the five-dimensional action. The non-minimal couplings bring a new parameter $a_0$…

High Energy Physics - Phenomenology · Physics 2022-01-05 Alfonso Ballon-Bayona , Luis A. H. Mamani , Diego M. Rodrigues

In this work spontaneous (non-dynamical) breaking (effective hiding) of the unitary quantum mechanical dynamical symmetry (superposition) is considered. It represents an especial but very interesting case of the general formalism of the…

Quantum Physics · Physics 2007-05-23 Vladan Pankovic , Milan Predojevic

We discuss the origin of chiral symmetry breaking in the light-cone representation of QCD. In particular, we show how quark helicity symmetry is spontaneously broken in SU(N) gauge theory with massless quarks if that theory has a condensate…

High Energy Physics - Phenomenology · Physics 2015-06-25 S. Dalley , G. McCartor

We propose a simple model for Dirac neutrinos where the smallness of neutrino mass follows from a parameter $\kappa$ whose absence enhances the symmetry of the theory. The symmetry breaking is performed by a two-doublet Higgs sector…

High Energy Physics - Phenomenology · Physics 2016-09-21 Cesar Bonilla , Jose W. F. Valle

We study in a systematic and modular invariant way gaugino condensation in the hidden sector as a potential source of hierarchical supersymmetry breaking and a non--trivial potential for the dilaton $S$ whose real part corresponds to the…

High Energy Physics - Theory · Physics 2009-10-29 B. de Carlos , J. A. Casas , C. Muñoz