Eleventh-order calculation of Ising-limit Green's functions for scalar quantum field theory in arbitrary space-time dimension [ital D]
- Department of Physics, Washington University, St. Louis, Missouri 63130 (United States)
- Department of Physics, Brookhaven National Laboratory, Upton, New York 11973 (United States)
This paper extends an earlier high-temperature lattice calculation of the renormalized Green's function of a [ital D]-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 [ital D][gt]2. Here, we present an improved extrapolation which gives uniformly good results for all real values of the dimension between [ital D]=0 and [ital D]=4. We find that the four-point Green's function has the value 0.620[plus minus]0.007 when [ital D]=2 and 0.98[plus minus]0.01 when [ital D]=3 and that the six-point Green's function has the value 0.96[plus minus]0.03 when [ital D]=2 and 1.2[plus minus]0.2 when [ital D]=3.
- OSTI ID:
- 6578782
- Journal Information:
- Physical Review, D (Particles Fields); (United States), Vol. 51:4; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
Similar Records
Guide to precision calculations in Dyson{close_quote}s hierarchical scalar field theory
Critical finite-range scaling in scalar-field theories and Ising models