The paper derives new formulas for the topological mass and two-loop vacuum energy of a massless λφ⁴ scalar in quasi-periodic Minkowski and half-Einstein spacetimes.
Green's function for a n-dimensional closed, static universe and with a spherical boundary
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abstract
We construct the Hadamard Green's function by using the eigenfunction, which are obtained by solving the wave equation for the massless conformal scalar field on the S^n-1 of a n-dimensional closed, static universe. We also consider the half space case with both the Dirichlet and the Neumann boundary conditions. Solving of eigenfunction and eigenvalues of the corresponding field equation is interesting since the Casimir energy could be calculated analytically by various methods.
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hep-th 1years
2019 1verdicts
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Ground state energy and topological mass in spacetimes with nontrivial topology
The paper derives new formulas for the topological mass and two-loop vacuum energy of a massless λφ⁴ scalar in quasi-periodic Minkowski and half-Einstein spacetimes.