Eleventh order calculation of Green's functions in the Ising limit for arbitrary space-time dimension D
May 10, 199419 pages
Published in:
- Phys.Rev.D 51 (1995) 1875-1879
e-Print:
- hep-th/9405043 [hep-th]
Report number:
- WUHEP-5-94
Citations per year
Abstract:
This paper extends an earlier high-temperature lattice calculation of the renormalized Green's functions of a -dimensional Euclidean scalar quantum field theory in the Ising limit. The previous calculation included all graphs through sixth order. Here, we present the results of an eleventh-order calculation. The extrapolation to the continuum limit in the previous calculation was rather clumsy and did not appear to converge when . Here, we present an improved extrapolation which gives uniformly good results for all real values of the dimension between and . We find that the four-point Green's function has the value when and when and that the six-point Green's function has the value when and when .- lattice field theory: any-dimensional
- field theory: scalar
- Ising model
- expansion: strong coupling
- strong coupling: expansion
- higher-order: 11
- continuum limit
- n-point function
- Pade approximation
- numerical calculations
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