Theory of Gauge Fields

  • Michael Monastyrsky
Part of the Modern Birkhäuser Classics book series (MBC)


The basis for all contemporary theories of elementary particles is the concept of a field. For each elementary particle there is a corresponding quantum field, and the interaction of elementary particles is defined by the interaction of quantum fields.


Gauge Group Fiber Bundle Gauge Field Goldstone Boson Massless Particle 
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  1. 1.
    The name quarks for these hypothetical particles was proposed by Gell-Mann, who borrowed it from James Joyce’s Finnegan’s Wake (New York: Viking Press, 1939), which contains the puzzling line, “Three quarks for Muster Mark!” (p. 383). The term aces, invented by Zweig, did not catch on.Google Scholar
  2. 2.
    The group SU(3) consists of complex matrices A of the order 3 with the additional relations A A* =A*A = I, A = (āij and ,4* = (ā ji), where the bar indicates the operation of complex conjugation and I is the identity matrix.Google Scholar
  3. 3.
    The neutrino was discovered in 1956 by Frederick Reines and Clyde Cowan, Jr., in experiments on the Savannah River heavy water reactor in South Carolina. Not until 40 years later did Reines receive the Nobel Prize for this discovery. Sadly, Cowan did not live to see that happy moment.Google Scholar
  4. 4.
    S. Coleman, “Secret Symmetry,” in: Zichichi, A. (ed.) Laws of Hadronic Matter, New York: Academic Press, 1975.Google Scholar
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Copyright information

© Springer Science+Business Media New York 1999

Authors and Affiliations

  • Michael Monastyrsky
    • 1
  1. 1.Department of Theoretical PhysicsInsitute for Theoretical and Experimental PhysicsMoscowRussia

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