1 citations · 1 across the 3 of their papers we have counts for
5 papers
The Variational Problem and Background Field in the Renormalization Group Method for Non-Linear Sigma Models
Abhishek Goswami
We study the variational problem as described by Balaban in his renormalization group method for Yang-Mills theories in and adapt it to a class of Non-Linear Sigma Models…
Embedding Cosmology and Gravity
Abhishek Goswami
I start with a scenario where the universe is an abstract space having dimensions. There is a two dimensional surface embedded in it. Embedding is a map from the…
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…
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…
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…