dorsal/arxiv
View SchemaPath integral formulation of quantized fields
| Authors | S. R. Vatsya |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0404166 |
| URL | https://arxiv.org/abs/quant-ph/0404166 |
Abstract
Physical path integral formulation of motion of particles in Riemannian spaces is outlined and extended to deduce the corresponding field theoretical formulation. For the special case of a zero rest mass particle in Minkowski manifold, it is shown that the underlying space can be reduced to three-dimensional while similar formulation for a massive particle requires a four-dimensional structure. The solutions obtained by the present procedure are compared with the results obtained from its counterpart for a massive particle by setting the mass equal to zero. Although similar, the present formulation has some additional implications pertaining to the energy spectrum and the associated free field quantization, particularly it yields zero vacuum energy. The results are naturally extended to higher dimensions.
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"abstract": "Physical path integral formulation of motion of particles in Riemannian\nspaces is outlined and extended to deduce the corresponding field theoretical\nformulation. For the special case of a zero rest mass particle in Minkowski\nmanifold, it is shown that the underlying space can be reduced to\nthree-dimensional while similar formulation for a massive particle requires a\nfour-dimensional structure. The solutions obtained by the present procedure are\ncompared with the results obtained from its counterpart for a massive particle\nby setting the mass equal to zero. Although similar, the present formulation\nhas some additional implications pertaining to the energy spectrum and the\nassociated free field quantization, particularly it yields zero vacuum energy.\nThe results are naturally extended to higher dimensions.",
"arxiv_id": "quant-ph/0404166",
"authors": [
"S. R. Vatsya"
],
"categories": [
"quant-ph"
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"title": "Path integral formulation of quantized fields",
"url": "https://arxiv.org/abs/quant-ph/0404166"
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