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    • 2019-06-01 UB Theses and Dissertations (public)
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    • 2019-06-01 UB Theses and Dissertations (public)
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    Mass gap in weakly coupled Abelian Higgs on a unit lattice

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    Goswami_buffalo_0656A_16342.pdf (2.117Mb)
    Date
    2019
    Author
    Goswami, Abhishek
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    Abstract
    We study the problem of mass generation in particle physics. In the Standard Model, the interaction of a particle with the Higgs boson is responsible for its mass generation, known as the Higgs mechanism. Our model is a weakly coupled Abelian Higgs theory on a unit lattice in space-time dimensions d greater than equal to 2. We give a rigorous, non - perturbative proof of the Higgs mechanism by establishing a mass gap in this model. We apply a new power series cluster expansion and show the existence of a mass gap for the observable electromagnetic field-strength tensor. Our method provides a simple and clean alternative to the decoupling clusterexpansions.
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    http://hdl.handle.net/10477/79884
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    • 2019-06-01 UB Theses and Dissertations (public)

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