WARNING:
JavaScript is turned OFF. None of the links on this concept map will
work until it is reactivated.
If you need help turning JavaScript On, click here.
This Concept Map, created with IHMC CmapTools, has information related to: Higgs in TGD.cmap, HIGGS PARTICLE IN TGD 2. d) Could this term play the the role of Higgs vacuum expectation? Does this term give only a small additional contribution to the masses of particles besides that given by p-adic thermody- namics for wormhole con- tacts and for string like ob- ject in electroweak or even Compton length scale? e) What happens at at the ends of string world sheets? Here the Higgs termwould correspond to the normal (time-like) com- ponent Γ^n of KD gamma matrix. Vanishing of boun- dary variation gives mass shell condition with Higgs massterm: (p^kγ_k+Γ^n)Ψ=0 . f) CP_2 part of Γ^n would give non-tachyonic contri- bution to fermion mass. This terms might provide correlate for the particle mass as given by p-adic mass calculations at some level of hierarchy of space- time sheets. g) M^4 part of Γ^n would give a tachyonic contribu- tion, which might relate to the still poorly understood question about how the tachyonic ground states of super-conformal represen- tations with half integer con- formal weight needed in p- adic mass calculations emer- ge., HIGGS PARTICLE IN TGD 1. Higgs has been the black sheet of TGD for decades. There are several questions which one must distinguish from each other. a) Does TGD predict/allow Higgs like particle or not? b) If Higgs like particle exists in TGD Universe, does Higgs va- cuum expectation provide a mechanism of particle massiva- tion. c) Could it be that Higgs mecha- bism makes sense only in quan- tum field theoretic description relying on point like particles? This assumption does not hold true in TGD and Higgs mecha- nism is indeed only parametriza- tion in the case of fermions. The couplings of fermions to Higgs are chosen to reproduce the mass spectrum. The recent discovery of Higgs meant a very intense period of work in attempts to understand Higgs in TGD. TGD allows Higgs but p-adic thermodynamics sug- gests itself strongly as the proper description of massivation. The analog of Higgs vacuum ex- pectation is not completely exclu- ded as the description at QFT limit of TGD., HIGGS PARTICLE IN TGD 2. Quite recent little prog- ress in the understanding of Kähler-Dirac equation suggests that the analog of Higgs vacuum expecta- tion might be present and could even code for masses although p-adic mass calculations certain- ly are the manner to un- derstand particle masses. a) The Kähler-Dirac action for the modes of induced imbedding space spinor field reduces to a vanishing contribution in the interior of space-time surface and by weak form of electric magnetic duality (WFEMD) to a boundary term given by Chern-Simons action. b) For the light-like parto- nic orbits associated with wormhole contacts these terms must vanish by conservation of fermionic charges and one obtains just algebraic form of M^4 Dirac action at the partonic 2-surface so that massless fermionic propagators are obtained. Nothing Higgs like in propagators. c) At the space-like 3-sur- faces defining the ends of space-time at boundaries of CDs one obtains algeb- raic massless Dirac plus Chern-Simons term., HIGGS PARTICLE IN TGD 2. Possible answers to the questions. a) TGD allows Higgs like particles and it would be very difficult to develop a convincing argument for their non-existence. The model for elementary particles as string like objects consisting of "ur- fermions" with electro- weak quantum numbers of electron and quark al- lows also scalar particles. b) The notion of Higgs vacuum expectation as fundamental mechanism of particle massivation is not supported by the follo- wing argument. *Higgs would naturally correspond to CP_2 vector field -most naturally in complex coordinates for CP_2 behaving like elect- ro-weak doublet. *This field should be cova- riantly constant but CP_2 does not allow covariantly constant vector fields. This could conform with the view that p-adic ther- modynamics describes particle massivation. c) One can consider loop- hole to this argument. Could it happen that Higgs field is covariantly constant only with respect to the induced spinor connection?
