Tutorial on scale and conformal symmetries in diverse dimensions [PDF]
Addendum added that includes author S.-H.
R. Jackiw, S-Y Pi
core +9 more sources
Broken conformal symmetry and hadronic scaling [PDF]
Abstract High energy, large momentum transfer hadronic reactions are studied in the framework of broken conformal symmetry. Hadrons lie on almost linear Regge trajectories. Inclusive cross section scale as ∼s −2 ( q 2 T s) −4 . Large rates of heavy particle production are predicted.
G. Domokos, S. Kövesi-Domokos, B. Yunn
+8 more sources
On scale versus conformal symmetry in turbulence [PDF]
4 pages, revtex, ref. added. We discuss the modification of our conclusions in the presence of vacuum expectation values of negative dimension ...
Yaron Oz
openalex +4 more sources
Scale invariant Einstein-Cartan gravity and flat space conformal symmetry [PDF]
Abstract We find the conditions under which scale-invariant Einstein-Cartan gravity with scalar matter fields leads to an approximate conformal invariance of the flat space particle theory up to energies of the order of the Planck mass.
Georgios K. Karananas+2 more
+7 more sources
Conformal symmetry: Towards the link between the Fermi and the Planck scales [PDF]
If the mass of the Higgs boson is put to zero, the classical Lagrangian of the Standard Model (SM) becomes conformally invariant (CI). Taking into account quantum non-perturbative QCD effects violating CI leads to electroweak symmetry breaking with the scale $v \sim _{\rm QCD}\sim 100$ MeV which is three orders of magnitude less than it is observed ...
Mikhail Shaposhnikov, Andrey Shkerin
openalex +3 more sources
CONFORMAL SCALING GAUGE SYMMETRY AND INFLATIONARY UNIVERSE [PDF]
Considering the conformal scaling gauge symmetry as a fundamental symmetry of nature in the presence of gravity, a scalar field is required and used to describe the scale behavior of the universe. In order for the scalar field to be a physical field, a gauge field is necessary to be introduced.
Yue-Liang Wu
openalex +4 more sources
Scaling and conformal symmetries for plane gravitational waves [PDF]
The isometries of an exact plane gravitational wave are symmetries for both massive and massless particles. Their conformal extensions are, in fact, chrono-projective transformations {introduced earlier by Duval et al. [Classical Quantum Gravity 3, 461 (1986); Classical Quantum Gravity 32(17), 175006 (2015)]} and are symmetries for massless particles ...
Pengming Zhang+3 more
openalex +5 more sources
Softly broken conformal symmetry and the stability of the electroweak scale [PDF]
We point out a possible mechanism by which the electroweak hierarchy problem can be avoided in the low energy effective quantum field theory. Assuming the existence of a UV complete underlying fundamental theory and treating the cutoff scale Λ of the effective field theory as a real physical scale we argue that the hierarchy problem would be solved if
Piotr H. Chankowski+3 more
openalex +7 more sources
Generalized Goldstone theorem: Automatic imposition of the Higgs mechanism and application to scale and conformal symmetry breaking [PDF]
Standard discussions of Goldstone’s theorem based on a symmetry of the action assume constant fields and global transformations, i.e., transformations which are independent of spacetime coordinates. By allowing for arbitrary field distributions in a general representation of the symmetry we derive a generalization of the standard Goldstone’s theorem ...
Alan Chodos, Gregg M. Gallatin
openalex +4 more sources
The pseudo-conformal universe: scale invariance from spontaneous breaking of conformal symmetry [PDF]
51 pages, 3 figures. v2 discussion and refs added, minus sign in transformation laws fixed.
Kurt Hinterbichler, Justin Khoury
openalex +4 more sources