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We study a class of UV-complete, strongly coupled, confining three-dimensional field theories, that exhibit a novel stabilisation mechanism for the mass of the lightest scalar composite state, relying on the existence of a critical point.…

High Energy Physics - Theory · Physics 2025-12-04 Daniel Elander , Antón F. Faedo , Maurizio Piai , Ronnie Rodgers , Javier G. Subils

In a class of three-dimensional abelian gauge theory the Lorentz invariance is spontaneously broken by dynamical generation of a magnetic field. An originally topologically massive photon becomes gapless, i.e. p_0=0 at {\vec p}=0. Indeed,…

High Energy Physics - Theory · Physics 2007-05-23 Yutaka Hosotani

We show that the spontaneous symmetry breaking can be defined also for finite systems based on the properly defined jump probability between the ground states in the 2d and 3d Ising models on a square and a cubic lattice respectively. Our…

Statistical Mechanics · Physics 2021-06-25 Fotis K. Diakonos , Yiannis F. Contoyiannis , Stelios M. Potirakis

We use the large N approximation to find an exotic phase of a cold, two-dimensional, N-component Fermi gas which exhibits dynamically broken approximate scale symmetry. We identify a particular weakly damped collective excitation as the…

Quantum Gases · Physics 2018-05-23 Gordon W. Semenoff , Fei Zhou

We discuss, in conformally invariant field theories such as QCD with massless fermions, a possible link between the perturbative signature of the conformal anomaly, in the form of anomaly poles of the 1-particle irreducible effective…

High Energy Physics - Theory · Physics 2015-06-22 Luigi Delle Rose , Carlo Marzo , Mirko Serino

We explore the physics of relativistic gapless phases defined by a mixed anomaly between two generalized conserved currents. The gapless modes can be understood as Goldstone modes arising from the nonlinear realization of (generically…

High Energy Physics - Theory · Physics 2025-01-10 Kurt Hinterbichler , Austin Joyce , Grégoire Mathys

Spontaneous symmetry breaking underlies much of our classification of phases of matter and their associated transitions. The nature of the underlying symmetry being broken determines many of the qualitative properties of the phase; this is…

We study the relation between the dilaton action and sigma models for the Goldstone bosons of the spontaneous breaking of the conformal group. We argue that the relation requires that the sigma model is diffeomorphism invariant. The origin…

High Energy Physics - Theory · Physics 2015-06-17 Adam Schwimmer , Stefan Theisen

Conformal defects spontaneously break part of the symmetry algebra of a bulk CFT. We show that the broken Ward identities imply very general sum rules on the defect CFT data as well as on the DOE data of bulk operators, which we call defect…

High Energy Physics - Theory · Physics 2026-02-02 Bastien Girault , Miguel F. Paulos , Philine van Vliet

A genuine dilaton $\sigma$ allows scales to exist even in the limit of exact conformal invariance. In gauge theories, these may occur at an infrared fixed point (IRFP) $\alpha_{\text{IR}}$ through dimensional transmutation. These large…

High Energy Physics - Phenomenology · Physics 2020-07-14 R. J. Crewther

Spontaneous Lorentz violation realized through a nonlinear vector field constraint of the type $A_{\mu}A^{\mu}=M^{2}$ ($M$ is the proposed scale for Lorentz violation) is shown to generate massless vector Goldstone bosons, gauging the…

High Energy Physics - Theory · Physics 2008-11-26 J. L. Chkareuli , C. D. Froggatt , J. G. Jejelava , H. B. Nielsen

We discuss a holographic soft-wall model developed for the description of mesons and baryons with adjustable quantum numbers n, J, L, S. This approach is based on an action which describes hadrons with broken conformal invariance and which…

High Energy Physics - Phenomenology · Physics 2012-04-05 Thomas Gutsche , Valery E. Lyubovitskij , Ivan Schmidt , Alfredo Vega

In this paper a hidden extra symmetry of conformally invariant Lagrangians occuring in physics is pointed out. This symmetry is most apparent in a metric independent, i.e. in a Palatini-like presentation of the variational problem. In such…

Mathematical Physics · Physics 2021-02-05 Andras Laszlo

In the context of the field theory limit of superstrings, we consider an almost realistic model of supersymmetry breaking by gaugino condensation which includes, through nonperturbative corrections to the K\"ahler potential, dilaton…

High Energy Physics - Theory · Physics 2009-10-30 Pierre Binetruy , Mary K. Gaillard , Yi-Yen Wu

The emergence of conformal states is established for any problem involving a domain of scales where the long-range, SO(2,1) conformally invariant interaction is applicable. Whenever a clear-cut separation of ultraviolet and infrared cutoffs…

High Energy Physics - Theory · Physics 2007-05-23 Horacio E. Camblong , Luis N. Epele , Huner Fanchiotti , Carlos A. Garcia Canal , Carlos R. Ordonez

We investigate four-dimensional near-conformal dynamics by means of the large-charge limit. We first introduce and justify the formalism in which near-conformal invariance is insured by adding a dilaton and then determine the large-charge…

High Energy Physics - Theory · Physics 2020-04-01 Domenico Orlando , Susanne Reffert , Francesco Sannino

We re-examine three-dimensional gauge theory with a Chern-Simons term in which the Lorentz invariance is spontaneously broken by dynamical generation of a magnetic field. A non-vanishing magnetic field leads, through the Nambu-Goldstone…

High Energy Physics - Theory · Physics 2010-11-01 Yutaka Hosotani

Conformal symmetry is investigated within the context of axion-dilaton-modulus theory of gravity of Brans-Dicke-type. A distinction is made between general conformal symmetry and invariance under transformations of the physical units. The…

High Energy Physics - Theory · Physics 2007-05-23 Israel Quiros

We provide an example of a 4D theory that exhibits the Contino-Pomarol-Rattazzi mechanism, where breaking conformal symmetry by an almost marginal operator leads to a light pseudo-Goldstone boson, the dilaton, and a parametrically…

High Energy Physics - Theory · Physics 2016-08-24 Kevin F. Cleary , John Terning

The spontaneous breaking of a global discrete translational symmetry in the finite, lattice quantum sine-Gordon model is demonstrated by a density matrix renormalization group. A phase diagram in the coupling constant - inverse system size…

Statistical Mechanics · Physics 2009-10-31 S. G. Chung
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