Conservation laws in quantum field theory on graphs
Mathematical Physics
2018-11-30 v2 math.MP
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.
Cite
@article{arxiv.1809.05945,
title = {Conservation laws in quantum field theory on graphs},
author = {Mikhail Fedorov},
journal= {arXiv preprint arXiv:1809.05945},
year = {2018}
}
Comments
The main result turned out to be known. It is derived analogously to the Schwinger-Dyson equation and the Ward identities