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Prog. Theor. Phys. Vol. 66 No. 2 (1981) pp. 693-712

[ Full Text PDF : FREE ACCESS (806K) ]

Generalized Maxwell Equations and the Gauge Mixing Mechanism of Mass Generation

Antonio Aurilia* and Yasushi Takahashi

Theoretical Physics Institute, University of Alberta, Edmonton, Alberta, T6G 2J1
and
*Istituto Nazionale di Fisica Nucleare Sezione di Trieste

(Received March 25, 1981)

Abstract:

The content of this paper consists of three main steps: (1) the constuction of antisymmetric tensor field representations of massive particles, (2) the transition to the massless “Maxwell theory” endowed with a generalized abelian gauge invariance, (3) a mixing mechanism of the massless gauge fields in step (2) to generate the massive tensor field representations of step (1). The gauge mixing of the massless fields exhibits the phenomenon of “spin jumping” from the massless representation to the massive one. This spin discontinuity is strictly a consequence of the gauge invariance of the Maxwell theory and is discussed in connection with the established inequivalence of different field representations sharing the same number of degrees of freedom. A full understanding of this paper involves some properties of relativistic strings and bags. As a byproduct of this work we recover the results that the “bag constant” of hadrondynamics and the gravitational cosmological constant can be reformulated as the “Maxwell theory” of the antisymmetric tensor field Aµνρ.


URL : http://ptp.ipap.jp/link?PTP/66/693/
DOI : 10.1143/PTP.66.693

[ Full Text PDF : FREE ACCESS (806K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 74 No. 2 (1985) pp. 368-374 :
    Lagrangians for Massive Totally Antisymmetric Tensor Fields
    A. Z. Capri and Masanori Kobayashi
  2. Progress of Theoretical Physics Vol. 90 No. 2 (1993) pp. 447-453 :
    Each Other's Complementary Massless Theory for Totally Antisymmetric Tensor Gauge Fields
    Masanori Kobayashi
  3. Progress of Theoretical Physics Vol. 103 No. 5 (2000) pp. 1021-1042 :
    p-Branes Electric-Magnetic Duality and Stueckelberg/Higgs Mechanism
    Stefano Ansoldi, Antonio Aurilia, Luca Marinatto and Euro Spallucci

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