Experimental Mathematics and Mathematical Physics

Bailey, David H. ; Borwein, Jonathan M. ; Broadhurst, David ; Zudilin, Wadim

关键词: 97;    ACCURACY;    PHYSICS;    QUANTUM FIELD THEORY;    SPIN;   

DOI  :  10.2172/964375
RP-ID  :  LBNL-2163E
PID  :  OSTI ID: 964375
Others  :  TRN: US200919%%532

美国|英语

来源: SciTech Connect

【 摘 要 】

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.