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Title: Quaternionic spontaneous symmetry breaking and Weinberg-Salam model
Authors: Rawat, A S
Negi, O P S
Bisht, P S
Rajput, B S
Issue Date: Jun-2000
Publisher: NISCAIR-CSIR, India
Abstract: Theory of spontaneous symmetry breaking is analyzed in terms of quaternions. Lagrangian density is written as a scalar quantity of quaternionics valued function . For minimizing the potential V(ϕ) = μ2— ϕϕ+ λ (ϕϕ)2 the vacuum expectations values vv= -μ2/2λ are obtained in a consistent way. Quaternion valued scalar lagrangian reduces four different field equations associated with scalar fields ϕ012 and ϕ3 of a quaternion ϕ = ϕ0+ e1ϕ1+ e2ϕ2 + e3ϕ3 Spontaneous breaking of global and local gauge symmetries are analyzed by means of quaternions. It is shown that the quaternion gauge group SO(4) is spontaneously broken to SO(4) ≈ SO(3) SO(3) associated with two gauge field quantas. Quaternionic gauge theory is investigated as the composite states or quarks and leptons associated with vector and scalar part or quaternion valued fields, respectively. Weinherg – Salam SU(2) U(1) gauge theory or electroweak interaction is extensively studied to enlarge the gauge group SU(2)L SU(2)R U(1).
Page(s): 390-394
ISSN: 0975-1041 (Online); 0019-5596 (Print)
Appears in Collections:IJPAP Vol.38(06) [June 2000]

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