Not signed in (Sign In)

Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

  • Sign in using OpenID

Site Tag Cloud

2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics comma complex complex-geometry computable-mathematics computer-science constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration finite foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

Welcome to nForum
If you want to take part in these discussions either sign in now (if you have an account), apply for one now (if you don't).
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeApr 1st 2018

    Edit to: standard model of particle physics by Urs Schreiber at 2018-04-01 01:15:37 UTC.

    Author comments:

    added textbook reference

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeAug 27th 2018
    • (edited Aug 27th 2018)

    made a quick note that the exact gauge group is the quotient

    (U(1)×SU(2)×SU(3))/ 6 \big( U(1) \times SU(2) \times SU(3) \big) / \mathbb{Z}_6

    still need to give more canonical reference

    diff, v32, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeDec 1st 2018

    expanded list of textbook accounts and other, added missing bibliographical information, reorganized list of references slightly

    diff, v39, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeJan 2nd 2019

    started a section “Tension with experiment” (here)

    diff, v40, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeMar 26th 2019

    added pointer to

    diff, v43, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeNov 13th 2019

    added pointer to today’s

    diff, v45, current

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeNov 13th 2019

    added this pointer:

    The big international conference of [[ 1974]] in London was a turning point [[]] Ellis’ catalog well reflected the state of theoretical confusion and general disarray in trying to interpret the e +e e^+ e^- data. But in the midst of all of this was a talk by John Iliopoulos (I think I was there too). With passionate zealotry, he laid out with great accuracy what we call the standard model. Everything was there: proton decay, charm, the GIM mechanism of course, QCD, the SU(2)×U(1)SU(2)\times U(1) electroweak theory, SU(5)SU(5) grand unification, Higgs, etc. It was all presented presented with absolute conviction and sounded at the time just a little mad, at least to me (I am a conservative).

    diff, v46, current

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeDec 26th 2019
    • (edited Dec 26th 2019)

    after

    The exact standard model gauge group is the subgroup of the Jordan algebra automorphism group of the octonionic Albert algebra that “stabilizes a 4d sub-Minkowski spacetime” (see there for details).

    I have added pointer to today’s article by Krasnov:

    More concretely, it is identified with the subgroup of Spin(9) which respects a splitting 3\mathbb{H} \oplus \mathbb{H} \simeq_{\mathbb{R}} \mathbb{C} \oplus \mathbb{C}^3 (Krasnov 19)

    diff, v48, current

    • CommentRowNumber9.
    • CommentAuthorUrs
    • CommentTimeJan 16th 2020
    • (edited Jan 16th 2020)

    re-arranged the list of references:

    created subsections

    and added pointer to

    diff, v49, current

    • CommentRowNumber10.
    • CommentAuthorUrs
    • CommentTimeMay 14th 2020

    added pointer to today’s

    • Ben Gripaios, Lectures: From quantum mechanics to the Standard Model (arXiv:2005.06355)

    diff, v52, current

  1. typo under “Tension with experiment and Incompleteness”

    Jon Borenstein

    diff, v53, current

    • CommentRowNumber12.
    • CommentAuthorCalebSchear
    • CommentTimeApr 15th 2021
    So I've been pondering this a lot, is there an issue with the graviton that doesn't allow it to fit with the rest of the elementary particles, if it even exists what would you need to do to prove its existence?
    • CommentRowNumber13.
    • CommentAuthorUrs
    • CommentTimeApr 15th 2021

    The perturbative quantization of gravity proceeds exactly as that of any other (effective) field (here) and its perturbations are gravitons, by definition. One can compute the experimental signature of their effects (here) and one finds that it’s non-vanishing but so tiny as to be well outside the reach of any foreseeable experimental methods.

    The real issue with gravity is non-perturbatively. But that’s not to do with gravitons, which are the perturbative excitations of gravity, by definition.

    • CommentRowNumber14.
    • CommentAuthorUrs
    • CommentTimeJun 16th 2023

    added pointer to today’s:

    diff, v56, current