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Mass Gap in Weakly Coupled Abelian Higgs on a Unit Lattice

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Abstract

The proof of the Higgs mechanism in a weakly coupled lattice gauge theory in \(d \geqslant 2\) is revisited. A new power series cluster expansion is applied, and the mass gap is shown to exist for the observable \(F_{\mu \nu }\).

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Acknowledgements

I would like to thank my advisor Jonathan Dimock for his guidance.

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Correspondence to Abhishek Goswami.

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Communicated by Abdelmalek Abdesselam.

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Goswami, A. Mass Gap in Weakly Coupled Abelian Higgs on a Unit Lattice. Ann. Henri Poincaré 20, 3955–3996 (2019). https://doi.org/10.1007/s00023-019-00840-0

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