A Solvable Four-Dimensional QFT

Harald Grosse () and Raimar Wulkenhaar ()
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Harald Grosse: Universität Wien, Fakultät für Physik
Raimar Wulkenhaar: Mathematisches Institut der Westfälischen Wilhelms-Universität

A chapter in Quantum Mathematical Physics, 2016, pp 137-161 from Springer

Abstract: Abstract We review a sequence of papers in which we show that the quartic matrix model with an external matrix is exactly solvable in terms of the solution of a non-linear integral equation. The interacting scalar model on four-dimensional Moyal space is of this type, and our solution leads to the construction of Schwinger functions. Taking a special limit leads to a QFT on $$\mathbb{R}^{4}$$ which satisfies growth property, covariance and symmetry. There is numerical evidence for reflection positivity of the 2-point function for a certain range of the coupling constant.

Keywords: Quantum field theory; Solvable models; Schwinger-Dyson techniques; Fixed point methods (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-26902-3_8

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DOI: 10.1007/978-3-319-26902-3_8

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