dorsal/arxiv
View SchemaQuantum Solution to Scalar Field Theory Models
| Authors | Gordon Chalmers |
|---|---|
| Categories | |
| ArXiv ID | physics/0505018 |
| URL | https://arxiv.org/abs/physics/0505018 |
Abstract
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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"abstract": "Amplitudes $A_n$ in $d$-dimensional scalar field theory are generated, to all\norders in the coupling constant and at $n$-point. The amplitudes are expressed\nas a series in the mass $m$ and coupling $\\lambda$. The inputs are the\nclassical scattering, and these generate, after the integrals are performed,\nthe series expansion in the couplings $\\lambda_i$. The group theory of the\nscalar field theory leads to an additional permutation on the $L$ loop trace\nstructures. Any scalar field theory, including those with higher dimension\noperators and in any dimension, are amenable.",
"arxiv_id": "physics/0505018",
"authors": [
"Gordon Chalmers"
],
"categories": [
"physics.gen-ph"
],
"title": "Quantum Solution to Scalar Field Theory Models",
"url": "https://arxiv.org/abs/physics/0505018"
},
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