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

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 defin...

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Bibliographic Details

Published in:	Calculus of variations and partial differential equations Vol. 61; no. 4
Main Author:	Langer, Christoph
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2022 Springer Nature B.V
Subjects:	Analysis Calculus of Variations and Optimal Control; Optimization Control Existence theorems Mathematical and Computational Physics Mathematics Mathematics and Statistics Momentum Systems Theory Theoretical Variational principles 49Jxx 28Cxx
ISSN:	0944-2669, 1432-0835
Online Access:	Get full text
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