I examine the construction process of the Higgs mechanism and its subsequent use by Steven Weinberg to formulate the electroweak theory in particle physics. I characterize the development of the Higgs mechanism to be a historical process that is guided through analogies drawn to the theories of solid-state physics and that is progressive through diverse contributions from a number of physicists working independently. I also offer a detailed comparative study that analyzes the similarities and differences in these contributions.
IntroductionThe concept of "spontaneous symmetry breaking" (SSB) as used in (relativistic) quantum field theory was inspired from the vacuum-structure of the Bardeen-Cooper-Schrieffer(BCS) theory of superconductivity in solid-state physics. 1 As physicists Yoichiro Nambu 2 and Giovanni JonaLasinio 3 once remarked, the integration of SSB into the theoretical framework of quantum field theory illustrates a case of "cross-fertilization" between solid-state physics and particle physics through the sharing of a physical concept. The integration process of SSB has been discussed in 1 Barden et al. 1957 2 a joint paper 4 by Laurie Brown and Tian Yu Cao, which has also accounted for the emergence of SSB as a physical concept and its early use in solid-state physics. What constitutes the final step in this integration process is the construction in the sixties of what is today referred to as "Higgs mechanism" in the literature of modern physics. This was achieved through diverse contributions from different physicists working independently. Even though the aforementioned paper by Brown and Cao is very helpful and thorough in many respects, it does not engage in a detailed examination of the similarities and the differences that exist between the approaches taken in these contributions. 5 Nor does it discuss their convergence to the Higgs mechanism as well as to the formulation of the electroweak theory by Steven Weinberg in 1967. All these as-yetunaddressed historical issues call for a critical study of the development of the Higgs mechanism that is currently missing from the literature of history and philosophy of modern physics. 6 In the present paper, I shall undertake a detailed comparative study of the works that contributed to the development of the Higgs mechanism. Moreover, in parallel to this discussion, I shall also trace the development of the electroweak theory as the unified theory of electromagnetic and weak forces.The plan of the present paper is roughly as follows. In Section 2, I shall give a short summary of the failure of the V-A theory of weak interactions. In Section 3, I shall dwell on Glashow's work on a unified theory of weak and electromagnetic forces. I shall also discuss the zero-mass problem of the Yang-Mills theory and how it plagued Glashow's work. In Section 4, I 3 shall examine in detail the construction process of the Higgs mechanism that solved the zeromass problem. In Section 5, I shall describe the formulation of the electroweak theory by Weinberg on t...