The homogeneous causal action principle on a compact domain in momentum space
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Abstract
The homogeneous causal action principle on a compact domain of momentum space is introduced. The connection to causal fermion systems is worked out. Existence and compactness results are reviewed. The Euler–Lagrange equations are derived and analyzed under suitable regularity assumptions.
Acknowledgements
We would like to thank the referee for helpful comments on the manuscript.
References
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Articles in the same Issue
- Frontmatter
- A flow approach to the prescribed Gaussian curvature problem in ℍ𝑛+1
- A split special Lagrangian calibration associated with frame vorticity
- The homogeneous causal action principle on a compact domain in momentum space
- The Lp Minkowski problem for q-torsional rigidity
- A twist in sharp Sobolev inequalities with lower order remainder terms
- Least energy solutions for affine p-Laplace equations involving subcritical and critical nonlinearities
- Stochastic homogenisation of free-discontinuity functionals in randomly perforated domains
- Existence of minimizers for the SDRI model in 2d: Wetting and dewetting regime with mismatch strain
- Generalized minimizing movements for the varifold Canham–Helfrich flow
- A characterization of gauge balls in ℍ n by horizontal curvature
- Minimizers of 3D anisotropic interaction energies
- Regularity results for a class of widely degenerate parabolic equations
- On isosupremic vectorial minimisation problems in L ∞ with general nonlinear constraints
- Quasiconformal, Lipschitz, and BV mappings in metric spaces
- Continuous differentiability of a weak solution to very singular elliptic equations involving anisotropic diffusivity
- Optimal transport with nonlinear mobilities: A deterministic particle approximation result
- On functions of bounded β-dimensional mean oscillation
- Relaxed many-body optimal transport and related asymptotics
- Minimizers of nonlocal polyconvex energies in nonlocal hyperelasticity
Articles in the same Issue
- Frontmatter
- A flow approach to the prescribed Gaussian curvature problem in ℍ𝑛+1
- A split special Lagrangian calibration associated with frame vorticity
- The homogeneous causal action principle on a compact domain in momentum space
- The Lp Minkowski problem for q-torsional rigidity
- A twist in sharp Sobolev inequalities with lower order remainder terms
- Least energy solutions for affine p-Laplace equations involving subcritical and critical nonlinearities
- Stochastic homogenisation of free-discontinuity functionals in randomly perforated domains
- Existence of minimizers for the SDRI model in 2d: Wetting and dewetting regime with mismatch strain
- Generalized minimizing movements for the varifold Canham–Helfrich flow
- A characterization of gauge balls in ℍ n by horizontal curvature
- Minimizers of 3D anisotropic interaction energies
- Regularity results for a class of widely degenerate parabolic equations
- On isosupremic vectorial minimisation problems in L ∞ with general nonlinear constraints
- Quasiconformal, Lipschitz, and BV mappings in metric spaces
- Continuous differentiability of a weak solution to very singular elliptic equations involving anisotropic diffusivity
- Optimal transport with nonlinear mobilities: A deterministic particle approximation result
- On functions of bounded β-dimensional mean oscillation
- Relaxed many-body optimal transport and related asymptotics
- Minimizers of nonlocal polyconvex energies in nonlocal hyperelasticity
