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Schwinger Effect in Compact Space
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We consider a theory of scalar QED on a spatially compact 1+1-dimensional spacetime. By considering a constant electric field pointing down the compact dimension, we compute the quantum effective action by integrating out the scalar degrees of freedom in the Euclidean sector. Working in the saddle-point approximation we uncover two novel branches/physical regimes upon analytically continuing back to real time and discover a new result, hitherto unreported in previous literature. Implications of our results are discussed.
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De Sitter space constraints on brane tensions and couplings
The Festina Lente bound on particle masses is generalized to p-branes with world-volume Chern-Simons couplings, giving tension bounds in de Sitter space that string theory D-branes satisfy.
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