Partition function methods for the quartic scalar quantum field theory on the Moyal plane
Mathematical Physics
2018-10-15 v1 math.MP
Abstract
In this work several techniques to treat the partition function of the real scalar quartic quantum field theory on the Moyal plane is discussed. A factorisation approach requires the polytope volume for the diagonal subpolytope of symmetric stochastic matrices. This is determined asymptotically. The applicability of this method is tested for regime of weak coupling. Here the asymptotic character of the polytope volume alters the matrix structure of the original model leading to fictitious divergences.
Cite
@article{arxiv.1810.05459,
title = {Partition function methods for the quartic scalar quantum field theory on the Moyal plane},
author = {Jins de Jong},
journal= {arXiv preprint arXiv:1810.05459},
year = {2018}
}
Comments
PhD thesis