Feynman integrals of \(p\)-adic argument in the momentum space. II: Explicit expressions. (English. Russian original) Zbl 0923.46075
Theor. Math. Phys. 104, No. 3, 1061-1077 (1995); translation from Teor. Mat. Fiz. 104, No. 3, 371-392 (1995).
Summary: A procedure for obtaining explicit expressions for Feynman integrals of \(p\)-adic argument in momentum space is described, and the connection with Feynman amplitudes over a finite field and chromatic polynomials is indicated. Simple explicit expressions are given for the results of integration over the region of large and small momenta.
[For part I see ibid. 102, No. 3, 267-274 (1995; Zbl 0860.46055)].
[For part I see ibid. 102, No. 3, 267-274 (1995; Zbl 0860.46055)].
MSC:
| 46S10 | Functional analysis over fields other than \(\mathbb{R}\) or \(\mathbb{C}\) or the quaternions; non-Archimedean functional analysis |
| 81S40 | Path integrals in quantum mechanics |
| 46N50 | Applications of functional analysis in quantum physics |
| 81Q30 | Feynman integrals and graphs; applications of algebraic topology and algebraic geometry |
Keywords:
Feynman integrals of \(p\)-adic argument; momentum space; Feynman amplitudes; finite field; chromatic polynomialsCitations:
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