Experimental Mathematics and Mathematical Physics

Abstract

One of the most effective techniques of experimental mathematics is to compute mathematical entities such as integrals, series or limits to high precision, then attempt to recognize the resulting numerical values. Recently these techniques have been applied with great success to problems in mathematical physics. Notable among these applications are the identification of some key multi-dimensional integrals that arise in Ising theory, quantum field theory and in magnetic spin theory.

18 pages, 2 figures

References in corpus (3)

• The Multiple Zeta Value Data Mine
• Elliptic integral evaluations of Bessel moments
• Alternative evaluation of a ln tan integral arising in quantum field theory

Cited by in corpus (6)

• The first-order factorizable contributions to the three-loop massive operator matrix elements $A_{Qg}^{(3)}$ and $\Delta A_{Qg}^{(3)}$
• 6-loop anomalous dimension of a single impurity operator from AdS/CFT and multiple zeta values
• Lee-Yang Model in Presence of Defects
• Closed Form Expressions for Certain Improper Integrals of Mathematical Physics
• On the numerical evaluation of real-time path integrals: Double exponential integration and the Maslov correction
• Self-Similarly Corrected Pade Approximants for the Indeterminate Problem