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hep-th2025
Non-perturbative corrections to the Casimir energy for a scalar field theory with non-linear boundary conditions
Fabrizio Canfora, David Dudal, Thomas Oosthuyse +3
We consider the case of a free real massive bulk scalar in D=4 dimensions, and embed two parallel plates as interfaces on which we impose non-linear boundary conditions, either Dir…
cond-mat.quant-gas2025★ 1 cited
Fractional vorticity, Bogomol'nyi-Prasad-Sommerfield systems and complex structures for the (generalized) spinor Gross-Pitaevskii equations
Fabrizio Canfora, Pablo Pais
The (generalized) Gross-Pitaevskii equation (GPE) for a complex scalar field in two spatial dimensions is analyzed. It is shown that there is an infinite family of self-interaction…
cond-mat.quant-gas2025
A Bogomol'nyi-Prasad-Sommerfield bound with a first-order system in the Gross-Pitaevskii equation
Fabrizio Canfora, Pablo Pais
A novel Bogomol'nyi-Prasad-Sommerfield (BPS) bound for the Gross-Pitaevskii equations in two spatial dimensions is presented. The energy can be bounded from below in terms of the c…