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Constraints on Higgs Fields in Unified Weak-Electromagnetic Gauge Theories

Journal Article · · Physical Review. D, Particles Fields

In renormizable unified gauge theories of the weak and electromagnetic interactions, for a given gauge group we ask the following question: Which representations of the scalar Higgs particles can reproduce a vector-meson mass spectrum in which one vector meson, the photon, remains massless and all other vector mesons acquire mass? Given the Higgs representation, we then examine what restrictions are placed on the charge operator of the theory. The examples of SU(3) and SU(3) x U(1) are worked out in detail. The possible Higgs representations for all the unexceptional classical Lie groups are given. For each such group, there are some low-dimensional representations for which no solution exists. (auth) H03 H0225375 A one-loop calculation of pseudo-Goldstone boson masses in a spontaneously broken gauge model indicates that they are either identically zero or too large (of the order of several GeV) to be identified with the pion masses. The former possibility, which suggests that the pion mass may have its origin in even higher order weak and electromagnetic corrections, is investigated. (auth)

Research Organization:
Rockefeller University, New York, New York 10021
Sponsoring Organization:
USDOE
NSA Number:
NSA-29-025373
OSTI ID:
4335973
Journal Information:
Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 8; ISSN PRVDAQ; ISSN 0556-2821
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English

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