Higgs mechanism in the Gaussian functional approximation
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The Higgs mechanism is explicity verified and its gauge invariance confirmed in the Gaussian ground-state functional approximation to theO(2) symmetric ϕ4 theory coupled to an Abelian gauge field. We demonstrate this by using the recent proof of the Goldstone theorem in the said approximation and the Englert-Brout-Schwinger method. The mass of the vector gauge boson is evaluated and expressed in terms of the dressed properties of the scalar fields and the gauge field coupling constant.
PACS11.15.Ex Spontaneous breaking of gauge symmetries
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