Conservation laws in quantum field theory on graphs
Mikhail Fedorov
TL;DR
This paper demonstrates that quantum fields on graphs obey similar conservation laws as classical fields, with modifications under certain actions, using probabilistic methods based on multidimensional normal distributions.
Contribution
It establishes conservation laws for quantum fields on graphs and introduces modifications for Villain action, using probabilistic proofs.
Findings
Quantum fields on graphs satisfy classical conservation laws.
Modified conservation laws hold for Villain action.
Probabilistic methods underpin the proofs.
Abstract
It is shown that expected values of free scalar and vector quantum fields on graphs satisfy the same conservation laws as the classic fields. It is demonstrated that a modified version of conservation laws is satisfied for Villain action. The proofs are based on the consideration of multidimensional normal distribution.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsNoncommutative and Quantum Gravity Theories · Quantum Mechanics and Applications · Quantum Electrodynamics and Casimir Effect