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arxiv: 1809.05945 · v2 · pith:TMU6TL5Onew · submitted 2018-09-16 · 🧮 math-ph · math.MP

Conservation laws in quantum field theory on graphs

classification 🧮 math-ph math.MP
keywords conservationlawsfieldsgraphsquantumactionclassicconsideration
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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.

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