Existence of minimizers for causal variational principles on compact subsets of momentum space in the homogeneous setting

URN to cite this document:: urn:nbn:de:bvb:355-epub-522562
DOI to cite this document:: 10.5283/epub.52256

Langer, Christoph

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Date of publication of this fulltext: 24 May 2022 06:02

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Abstract

We prove the existence of minimizers for the causal action in the class of negative definite measures on compact subsets of momentum space in the homogeneous setting under several side conditions (constraints). The method is to employ Prohorov’s theorem. Given a minimizing sequence of negative definite measures, we show that, under suitable side conditions, a unitarily equivalent subsequence ...