Point Canonical Transformations in Path Integral
Mar, 197620 pages
Published in:
- Nucl.Phys.B 110 (1976) 93-112
- Published: 1976
Report number:
- CCNY-HEP-76/3
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Abstract: (Elsevier)
We discuss point canonical transformations using the path integral quantization procedure. First, employing the Feynman diagram technique we demonstrate how a formal treatment of point transformations leads to erroneous results. Then we present the correct treatment of this problem using a more precise definition of path integrals. We show how this more careful treatment leads to additional potential terms in the action as compared to the formal treatment. We also demonstrate the equivalence of our results with the corresponding operator method discussion. Furthermore, we investigate the consequences of these results on the path integral collective coordinate method. Giving the improved treatment on the one-soliton sector example we establish the path integral collective coordinate method of the same level of rigor as the parallel operator approaches.- FIELD THEORY: QUANTIZATION
- FIELD THEORY: PATH INTEGRAL
- TRANSFORMATION
- FEYNMAN GRAPH
- FIELD THEORY: SOLITON
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