Origins of mass

• Authors: Frank Wilczek
• Languages of publication: EN

Abstracts

EN

Newtonian mechanics posited mass as a primary quality of matter, incapable of further elucidation. We now see Newtonian mass as an emergent property. That mass-concept is tremendously useful in the approximate description of baryon-dominated matter at low energy - that is, the standard “matter” of everyday life, and of most of science and engineering - but it originates in a highly contingent and non-trivial way from more basic concepts. Most of the mass of standard matter, by far, arises dynamically, from back-reaction of the color gluon fields of quantum chromodynamics (QCD). Additional quantitatively small, though physically crucial, contributions come from the intrinsic masses of elementary quanta (electrons and quarks). The equations for massless particles support extra symmetries - specifically scale, chiral, and gauge symmetries. The consistency of the standard model relies on a high degree of underlying gauge and chiral symmetry, so the observed non-zero masses of many elementary particles (W and Z bosons, quarks, and leptons) requires spontaneous symmetry breaking. Superconductivity is a prototype for spontaneous symmetry breaking and for mass-generation, since photons acquire mass inside superconductors. A conceptually similar but more intricate form of all-pervasive (i.e. cosmic) superconductivity, in the context of the electroweak standard model, gives us a successful, economical account of W and Z boson masses. It also allows a phenomenologically successful, though profligate, accommodation of quark and lepton masses. The new cosmic superconductivity, when implemented in a straightforward, minimal way, suggests the existence of a remarkable new particle, the so-called Higgs particle. The mass of the Higgs particle itself is not explained in the theory, but appears as a free parameter. Earlier results suggested, and recent observations at the Large Hadron Collider (LHC) may indicate, the actual existence of the Higgs particle, with mass m
H ≈ 125 GeV. In addition to consolidating our understanding of the origin of mass, a Higgs particle with m
H ≈ 125 GeV could provide an important clue to the future, as it is consistent with expectations from supersymmetry.

Keywords

EN

mass; dimensional transmutation; Higgs particle; unification; supersymmetry

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2012
• Volume: 10
• Issue: 5
• Pages: 1021-1037

Dates

published

1 - 10 - 2012

online

21 - 11 - 2012

Contributors

author

Frank Wilczek

• Center for Theoretical Physics, Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts, 02139, USA

References

• [1] I. Newton, Principia (Royal Society, London, 1687)
• [2] E. Wigner, Ann. Math. 40, 149 (1939) http://dx.doi.org/10.2307/1968551[Crossref]
• [3] F. Wilczek, Rev. Mod. Phys. 71, 85 (1999) http://dx.doi.org/10.1103/RevModPhys.71.S85[Crossref]
• [4] I. Newton, Opticks, 4th edition (William Innys, London, 1731)
• [5] J. C. Maxwell, In: Encyclopedia Britannica, 9th edition, vol. 3 (Adam and Charles Black, Edinburgh, 1875) 36
• [6] C. E. Detar, Phys. Rev. D 17, 323 (1978) http://dx.doi.org/10.1103/PhysRevD.17.323[Crossref]
• [7] R. L. Jaffe, F. E. Low, Phys. Rev. D 19, 2105 (1979) http://dx.doi.org/10.1103/PhysRevD.19.2105[Crossref]
• [8] H. A. Lorentz, Archives néerlandaises des sciences exactes et naturelles 25, 363 (1892)
• [9] H. A. Lorentz, Theory of Electrons (Teubner, Leipzig, 1916)
• [10] S. Dürr et al., Science 322, 1224 (2008) http://dx.doi.org/10.1126/science.1163233[Crossref]
• [11] J. Beringer et al. (Particle Data Group), Phys. Rev. D 86, 010001 (2012) http://dx.doi.org/10.1103/PhysRevD.86.010001[Crossref]
• [12] K. Wilson, Phys. Rev. D 10, 2445 (1974) http://dx.doi.org/10.1103/PhysRevD.10.2445[Crossref]
• [13] H. Nielsen, M. Ninomiya, Phys. Lett. B 105, 219 (1981) http://dx.doi.org/10.1016/0370-2693(81)91026-1[Crossref]
• [14] Y. Nambu, G. Jona-Lasinio, Phys. Rev. 122, 345 (1961) http://dx.doi.org/10.1103/PhysRev.122.345[Crossref]
• [15] M. Gell Mann, M. Lévy, Nuovo Cimento 16, 705 (1960) http://dx.doi.org/10.1007/BF02859738[Crossref]
• [16] P. Higgs, Phys. Rev. Lett. 13, 508 (1964) http://dx.doi.org/10.1103/PhysRevLett.13.508[Crossref]
• [17] P. Higgs, Phys. Rev. 145, 1156 (1964) http://dx.doi.org/10.1103/PhysRev.145.1156[Crossref]
• [18] F. Englert, R. Brout, Phys. Rev. Lett. 13, 321 (1964) http://dx.doi.org/10.1103/PhysRevLett.13.321[Crossref]
• [19] G. Guralnick, C. Hagen, T. Kibble, Phys. Rev. Lett. 13, 585 (1964) http://dx.doi.org/10.1103/PhysRevLett.13.585[Crossref]
• [20] G. ’t Hooft, Nucl. Phys. B 35, 167 (1971) http://dx.doi.org/10.1016/0550-3213(71)90139-8[Crossref]
• [21] T.-P. Cheng, L.-F. Li, Gauge Theory of Elementary Particle Physics (Clarendon Press, Oxford, 1984)
• [22] F. Wilczek, Phys. Rev. Lett. 39, 1304 (1977) http://dx.doi.org/10.1103/PhysRevLett.39.1304[Crossref]
• [23] S. Dimopoulos, S. Raby, F. Wilczek, Phys. Rev. D 24, 1681 (1981) http://dx.doi.org/10.1103/PhysRevD.24.1681[Crossref]
• [24] J. L. Feng, K. T. Matchev, T. Moroi, Phys. Rev. D 61, 075005 (2000) http://dx.doi.org/10.1103/PhysRevD.61.075005[Crossref]
• [25] G. Aad, et al. (The ATLAS Collaboration), Phys. Lett. B 716, 1 (2012) http://dx.doi.org/10.1016/j.physletb.2012.08.020[Crossref]
• [26] CMS collaboration, arXiv:1207:7235
• [27] M. Peskin, arXiv:1207.2516 [WoS]
• [28] F. Wilczek, Czech. J. Phys. 54, A415 (2004)

Identifiers

DOI

10.2478/s11534-012-0121-0