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The (φ4)2field theory as a classical Ising model

✍ Scribed by Barry Simon; Robert B. Griffiths

Publisher
Springer
Year
1973
Tongue
English
Weight
999 KB
Volume
33
Category
Article
ISSN
0010-3616

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📜 SIMILAR VOLUMES

The φ4 lattice field theory as an asympt
The φ4 lattice field theory as an asymptotic expansion about the Ising limit
✍ Gunduz Caginalp 📂 Article 📅 1980 🏛 Elsevier Science 🌐 English ⚖ 949 KB

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

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Thermodynamic properties of the φ4 lattice field theory near the Ising limit
✍ Gunduz Caginalp 📂 Article 📅 1980 🏛 Elsevier Science 🌐 English ⚖ 612 KB

For a d-dimensional 4" lattice field theory consisting of N spins with nearest-neighbor interactions, the partition function is transformed for large bare coupling constant A into an Ising-like system with additional neighbor interactions. For d = 2 a mean field approximation is then used to estimat