Partition function methods for the quartic scalar quantum field theory on the Moyal plane

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.

arXiv commentPhD thesis

References in corpus (6)

• Duality in Scalar Field Theory on Noncommutative Phase Spaces
• Vanishing of Beta Function of Non Commutative ${\Phi }_4^4$ Theory to all orders
• Exact Solution of Quantum Field Theory on Noncommutative Phase Spaces
• Power-counting theorem for non-local matrix models and renormalisation
• Renormalization of the noncommutative phi^3 model through the Kontsevich model
• The asymptotic volume of diagonal subpolytopes of symmetric stochastic matrices

Cited by in corpus (1)

• Nonperturbative evaluation of the partition function for the real scalar quartic QFT on the Moyal plane at weak coupling