Abstract
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.
[1] I. Newton, Principia (Royal Society, London, 1687) Search in Google Scholar
[2] E. Wigner, Ann. Math. 40, 149 (1939) http://dx.doi.org/10.2307/196855110.2307/1968551Search in Google Scholar
[3] F. Wilczek, Rev. Mod. Phys. 71, 85 (1999) http://dx.doi.org/10.1103/RevModPhys.71.S8510.1103/RevModPhys.71.S85Search in Google Scholar
[4] I. Newton, Opticks, 4th edition (William Innys, London, 1731) Search in Google Scholar
[5] J. C. Maxwell, In: Encyclopedia Britannica, 9th edition, vol. 3 (Adam and Charles Black, Edinburgh, 1875) 36 Search in Google Scholar
[6] C. E. Detar, Phys. Rev. D 17, 323 (1978) http://dx.doi.org/10.1103/PhysRevD.17.32310.1103/PhysRevD.17.323Search in Google Scholar
[7] R. L. Jaffe, F. E. Low, Phys. Rev. D 19, 2105 (1979) http://dx.doi.org/10.1103/PhysRevD.19.210510.1103/PhysRevD.19.2105Search in Google Scholar
[8] H. A. Lorentz, Archives néerlandaises des sciences exactes et naturelles 25, 363 (1892) Search in Google Scholar
[9] H. A. Lorentz, Theory of Electrons (Teubner, Leipzig, 1916) Search in Google Scholar
[10] S. Dürr et al., Science 322, 1224 (2008) http://dx.doi.org/10.1126/science.116323310.1126/science.1163233Search in Google Scholar
[11] J. Beringer et al. (Particle Data Group), Phys. Rev. D 86, 010001 (2012) http://dx.doi.org/10.1103/PhysRevD.86.01000110.1103/PhysRevD.86.010001Search in Google Scholar
[12] K. Wilson, Phys. Rev. D 10, 2445 (1974) http://dx.doi.org/10.1103/PhysRevD.10.244510.1103/PhysRevD.10.2445Search in Google Scholar
[13] H. Nielsen, M. Ninomiya, Phys. Lett. B 105, 219 (1981) http://dx.doi.org/10.1016/0370-2693(81)91026-110.1016/0370-2693(81)91026-1Search in Google Scholar
[14] Y. Nambu, G. Jona-Lasinio, Phys. Rev. 122, 345 (1961) http://dx.doi.org/10.1103/PhysRev.122.34510.1103/PhysRev.122.345Search in Google Scholar
[15] M. Gell Mann, M. Lévy, Nuovo Cimento 16, 705 (1960) http://dx.doi.org/10.1007/BF0285973810.1007/BF02859738Search in Google Scholar
[16] P. Higgs, Phys. Rev. Lett. 13, 508 (1964) http://dx.doi.org/10.1103/PhysRevLett.13.50810.1103/PhysRevLett.13.508Search in Google Scholar
[17] P. Higgs, Phys. Rev. 145, 1156 (1964) http://dx.doi.org/10.1103/PhysRev.145.115610.1103/PhysRev.145.1156Search in Google Scholar
[18] F. Englert, R. Brout, Phys. Rev. Lett. 13, 321 (1964) http://dx.doi.org/10.1103/PhysRevLett.13.32110.1103/PhysRevLett.13.321Search in Google Scholar
[19] G. Guralnick, C. Hagen, T. Kibble, Phys. Rev. Lett. 13, 585 (1964) http://dx.doi.org/10.1103/PhysRevLett.13.58510.1103/PhysRevLett.13.585Search in Google Scholar
[20] G. ’t Hooft, Nucl. Phys. B 35, 167 (1971) http://dx.doi.org/10.1016/0550-3213(71)90139-810.1016/0550-3213(71)90139-8Search in Google Scholar
[21] T.-P. Cheng, L.-F. Li, Gauge Theory of Elementary Particle Physics (Clarendon Press, Oxford, 1984) Search in Google Scholar
[22] F. Wilczek, Phys. Rev. Lett. 39, 1304 (1977) http://dx.doi.org/10.1103/PhysRevLett.39.130410.1103/PhysRevLett.39.1304Search in Google Scholar
[23] S. Dimopoulos, S. Raby, F. Wilczek, Phys. Rev. D 24, 1681 (1981) http://dx.doi.org/10.1103/PhysRevD.24.168110.1103/PhysRevD.24.1681Search in Google Scholar
[24] J. L. Feng, K. T. Matchev, T. Moroi, Phys. Rev. D 61, 075005 (2000) http://dx.doi.org/10.1103/PhysRevD.61.07500510.1103/PhysRevD.61.075005Search in Google Scholar
[25] G. Aad, et al. (The ATLAS Collaboration), Phys. Lett. B 716, 1 (2012) http://dx.doi.org/10.1016/j.physletb.2012.08.02010.1016/j.physletb.2012.08.020Search in Google Scholar
[26] CMS collaboration, arXiv:1207:7235 Search in Google Scholar
[27] M. Peskin, arXiv:1207.2516 Search in Google Scholar
[28] F. Wilczek, Czech. J. Phys. 54, A415 (2004) Search in Google Scholar
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