Feynman diagrams
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1: 16.24 Physical Applications
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§16.24(ii) Loop Integrals in Feynman Diagrams
►Appell functions are used for the evaluation of one-loop integrals in Feynman diagrams. …2: 34.9 Graphical Method
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►The graphical method establishes a one-to-one correspondence between an analytic expression and a diagram by assigning a graphical symbol to each function and operation of the analytic expression.
Thus, any analytic expression in the theory, for example equations (34.3.16), (34.4.1), (34.5.15), and (34.7.3), may be represented by a diagram; conversely, any diagram represents an analytic equation.
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3: Bibliography C
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Generalized hypergeometric functions and the evaluation of scalar one-loop integrals in Feynman diagrams.
J. Comput. Appl. Math. 115 (1-2), pp. 93–99.
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Remarks on the full asymptotic expansion of Feynman parametrized integrals.
Lett. Nuovo Cimento (2) 13 (8), pp. 310–312.
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4: 20.13 Physical Applications
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►In the singular limit , the functions , , become integral kernels of Feynman path integrals (distribution-valued Green’s functions); see Schulman (1981, pp. 194–195).
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5: 7.20 Mathematical Applications
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6: 20.2 Definitions and Periodic Properties
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7: DLMF Project News
error generating summary8: Bibliography B
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Planar diagrams.
Comm. Math. Phys. 59 (1), pp. 35–51.
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