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math-ph2020
Mass Gap in U(1) Higgs-Yukawa model on a unit lattice
Abhishek Goswami
A non perturbative proof of the mass generation of fermions via the Higgs mechanism is given. This is done by showing exponential decay of the two point fermionic correlation funct…
math-ph2019★ 1 cited
A New Perturbative Expansion for Fermionic Functional Integrals
Abhishek Goswami
We construct a power series representation of the integrals of form \begin{equation} \text{log} \int dμ_{S}(ψ, \barψ) \hspace{0.05 cm} e^{f(ψ, \barψ, η, \barη)} \nonumber \end{equa…
math-ph2018★ 3 cited
Mass Gap in weakly coupled abelian Higgs on a unit lattice
Abhishek Goswami
The proof of Higgs mechanism in a weakly coupled lattice gauge theory in is revisited. A new power series cluster expansion is applied and the mass gap is shown to…