Jack SarfattiRemember, the actual Higgs field is NOT a collection of real Higgs particles whizzing through space. On the contrary its a vacuum field made from coherent Glauber states of VIRTUAL Higgs particles. This is an important distinction none of the popular science writers understand very well.
Jack SarfattiIt's like a Bose-Einstein condensate yes, but not exactly the same of course. Bose-Einstein condensates of atoms are giant local quantum matter waves in which a huge number of real atoms have their centers of mass all in the same single particle "cell in phase space" of volume ~ (Planck's quantum of action)^3. Mathematically that quantum state is a Glauber coherent state in terms of the superposition of sharp number "Fock states" - or some distortion of it (e.g. squeezed states).
Jack SarfattiHowever, the Higgs particles inside the vacuum that make up the vacuum expectation value that is the Higgs field are virtual particles. This means, that their energies E are not functions of their momentum p according to Einstein's classical special relativity where
Jack Sarfattim is the rest mass, which for leptons like electrons and quarks as well as W-bosons are proportional to the vacuum expectation value of the Higgs field Glauber type macro-quantum coherent state destruction second-quantized field operator for large numbers of virtual Higgs particles that are off their own mass shells. That is, the virtual Higgs particles that collectively give rest masses m to leptons, quarks & W do not themselves obey the above equation.
Jack SarfattiThe larger rest masses M of hadrons like protons require additional physics (QCD) and come from the kinetic motion of confined quarks and the virtual particle plasma they are immersed in.
Jack SarfattiWhat the LHC shows are real Higgs particles that are incoherent excitations out of the coherent vacuum Higgs field. It is only the coherent vacuum field of these virtual off-mass-shell Higgs particles in huge numbers all in the same single-particle state that gives rest mass to the real W bosons and the real leptons and real quarks.
Russell Clark posted to Jack Sarfatti about an hour ago Hi, Dr. Jack. Question: Do you think the LHC detected a fundamental scalar Higgs or just a composite Higgs? Jack Sarfatti: No way to decide that yet. Still many more years of experimental work needed. Lenny Susskind has a "technicolor" model in which the Higgs is composite. This great accomplishment was only the end of the beginning.
Russell ClarkI wonder if there is a place for a composite Higgs in induced gravity theory. And if the LHC detectors could presently differentiate a fundamental scalar Higgs from a composite Higgs or, if this must remain a question of interpretation until the next LHC upgrade. Oh, and I don't blame you, Doc, if you smack me on the head and send me off to the Sarfatti Physics forums, LOL!
Jack Sarfatti"Elementary Higgs bosons perform another important task. In the Standard Model, quarks and leptons are necessarily massless because they transform under SU(2) ⊗ U(1) as left-handed doublets and right-handed singlets. The Higgs doublet couples to these fermions. When it develops its vacuum expectation value, it transmits this electroweak breaking to the quarks and leptons, giving them their observed masses. (In general, electroweak-eigenstate fermions are not mass eigenstates, so this process also induces the mixing matrices observed in charged-current weak interactions.)"
Jack SarfattiComposite Higgs Search at the LHC Jose Ramon Espinosa, Christophe Grojean, Margarete Mühlleitner (Submitted on 16 Mar 2010) The Higgs boson production cross-sections and decay rates depend, within the Standard Model (SM), on a single unknown parameter, the Higgs mass. In composite Higgs models where the Higgs boson emerges as a pseudo-Goldstone boson from a strongly-interacting sector, additional parameters control the Higgs properties which then deviate from the SM ones. These deviations modify the LEP and Tevatron exclusion bounds and significantly affect the searches for the Higgs boson at the LHC. In some cases, all the Higgs couplings are reduced, which results in deterioration of the Higgs searches but the deviations of the Higgs couplings can also allow for an enhancement of the gluon-fusion production channel, leading to higher statistical significances. The search in the H to gamma gamma channel can also be substantially improved due to an enhancement of the branching fraction for the decay of the Higgs boson into a pair of photons. Comments: 32 pages, 16 figures Subjects: High Energy Physics - Phenomenology (hep-ph); High Energy Physics - Experiment (hep-ex) Journal reference: JHEP 1005:065,2010 DOI: 10.1007/JHEP05(2010)065 Report number: CERN-PH-TH/2010-020, KA-TP-08-2010 Cite as: arXiv:1003.3251v1 [hep-ph]
Jack SarfattiThe new measurements seem to fit the Standard Model which argues against Higgs being composite. But it's much to early to jump to conclusions for sure. My bet is that Higgs is not composite.
Jack SarfattiRussell, first define what you mean by induced gravity theory. Give a precise reference. There are several different theories that fall under that general term.
Jack Sarfatti"We stated last year that in 2012 we would either find a new Higgs-like particle or exclude the existence of the Standard Model Higgs. With all the necessary caution, it looks to me that we are at a branching point: the observation of this new particle indicates the path for the future towards a more detailed understanding of what we're seeing in the data."
Jack SarfattiThe weight of evidence is that the Higgs is elementary not composite as in technicolour theory, i.e. Standard Model is looking good. Of course, this could change, but at the moment that's the best estimate.
Real free (zero rest mass) particle quantum states excited out of the vacuum have spherical wave modes ~ (1/r)e^if(t +- n.r/c) where n is the unit propagation vector, r is the radial vector from the point source to the point of position measurement. - sign for retarded waves propagating from present to future, - sign propagating from present back to the past - in the Dirac-Stueckleberg-Wheeler-Feynman theory (http://en.wikipedia.org/wiki/Ernst_Stueckelberg ). In contrast, the corresponding spherical mode wave functions for virtual particles inside the vacuum have the form (1/r)e^i(ft +- k.r) where there is no relationship between frequency f and wave vector k. When there is rest mass, the "mass shell" relationship is more complicated for real particles
Ernst Stueckelberg - Wikipedia, the free encyclopedia en.wikipedia.org Ernst Carl Gerlach Stueckelberg (February 1, 1905, Basel - September 4, 1984, Geneva) was a Swiss mathematician and physicist.[1] 7 minutes ago · Like · < i.e. f^2 = (mc^2/h)^2 +c^2 k^2 where c is the vacuum speed of light and m is the rest mass, which for leptons, quarks and W-bosons is determined by the mean number of virtual Higgs particles frozen into the same single particle mode inside the vacuum.
phase speed of matter wave is f/k, group speed of matter wave is df/dk