The φ4 lattice field theory as an asymptotic expansion about the Ising limit

✍ Scribed by Gunduz Caginalp

• Publisher: Elsevier Science
• Year: 1980
• Tongue: English
• Weight: 949 KB
• Volume: 124
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1016/0003-4916(80)90361-9

✦ Synopsis

For a d-dimensional 4' lattice field theory consisting of N spins, an asymptotic expansion of expectations about the Ising limit is established in inverse powers of the bare coupling constant A. In the thermodynamic limit (N -+ co), the expansion is expected to be valid in the noncritical region of the Ising system. JW, {xi>, {h), v) = v-l 1 (xi" -II2 + mo2 isA zAx? + h zAxi + $ C Cxi -xj)29 nn (1.1)