Quantum Solution to Scalar Field Theory Models

Details Quantum Solution to Scalar Field Theory Models Quantum Solution to Scalar Field Theory Models

2005-05-03

arxiv.org/abs/physics/0505018v3

Physics

General Physics

16 pages, LaTeX, 1 Figure, eqs (38)-(43) corrected and note added, note expanded with simplifed form of scattering

Scientific paper

Amplitudes $A_n$ in $d$-dimensional scalar field theory are generated, to all orders in the coupling constant and at $n$-point. The amplitudes are expressed as a series in the mass $m$ and coupling $\lambda$. The inputs are the classical scattering, and these generate, after the integrals are performed, the series expansion in the couplings $\lambda_i$. The group theory of the scalar field theory leads to an additional permutation on the $L$ loop trace structures. Any scalar field theory, including those with higher dimension operators and in any dimension, are amenable.

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