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Action-Driven flows for causal variational principles

delete2026-05-01
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PRE
AI
F
Felix Finster *
F
Franz Gmeineder
DOI：10.1017/fms.2026.10230delete
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Abstract

Abstract

En 中文
We introduce action-driven flows for causal variational principles, being a class of nonconvex variational problems emanating from applications in fundamental physics. In the compact setting, H & ouml;lder continuous curves of measures are constructed by using the method of minimizing movements. As is illustrated in examples, these curves will in general not have a limit point, due to the nonconvexity of the action. This leads us to introducing a novel penalization which ensures the existence of a limit point, giving rise to approximative solutions of the Euler-Lagrange equations. The methods and results are adapted and generalized to the causal action principle in the finite-dimensional case. As an application, we construct a flow of measures for causal fermion systems in the infinite-dimensional situation.
Keywords:
GRADIENT FLOWS
FUNCTIONALS

Journal

F
Forum of Mathematics Sigma
IF:
1.2
Papers:
140
Citations:
0

Organization

U
University of Konstanz
Scholars:
93
Papers: 45
Citations: 0
U
University of Regensburg
Scholars:
156
Papers: 57
Citations: 0
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