Asymptotics of the evolution semigroup associated with a scalar field in the presence of a non-linear electromagnetic field

Albeverio S, Tamura H (2018)
JOURNAL OF MATHEMATICAL PHYSICS 59(4): 23.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Albeverio, SergioUniBi; Tamura, Hiroshi
Abstract / Bemerkung
We consider a model describing the coupling of a vector-valued and a scalar homogeneous Markovian random field over R-4, interpreted as expressing the interaction between a charged scalar quantum field coupled with a nonlinear quantized electromagnetic field. Expectations of functionals of the random fields are expressed by Brownian bridges. Using this, together with Feynman-Kac-Ito type formulae and estimates on the small time and large time behaviour of Brownian functionals, we prove asymptotic upper and lower bounds on the kernel of the transition semigroup for our model. The upper bound gives faster than exponential decay for large distances of the corresponding resolvent (propagator). Published by AIP Publishing.
Erscheinungsjahr
2018
Zeitschriftentitel
JOURNAL OF MATHEMATICAL PHYSICS
Band
59
Ausgabe
4
Art.-Nr.
23
ISSN
0022-2488
eISSN
1089-7658
Page URI
https://pub.uni-bielefeld.de/record/2920339

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Albeverio S, Tamura H. Asymptotics of the evolution semigroup associated with a scalar field in the presence of a non-linear electromagnetic field. JOURNAL OF MATHEMATICAL PHYSICS. 2018;59(4): 23.
Albeverio, S., & Tamura, H. (2018). Asymptotics of the evolution semigroup associated with a scalar field in the presence of a non-linear electromagnetic field. JOURNAL OF MATHEMATICAL PHYSICS, 59(4), 23. doi:10.1063/1.4996880
Albeverio, S., and Tamura, H. (2018). Asymptotics of the evolution semigroup associated with a scalar field in the presence of a non-linear electromagnetic field. JOURNAL OF MATHEMATICAL PHYSICS 59:23.
Albeverio, S., & Tamura, H., 2018. Asymptotics of the evolution semigroup associated with a scalar field in the presence of a non-linear electromagnetic field. JOURNAL OF MATHEMATICAL PHYSICS, 59(4): 23.
S. Albeverio and H. Tamura, “Asymptotics of the evolution semigroup associated with a scalar field in the presence of a non-linear electromagnetic field”, JOURNAL OF MATHEMATICAL PHYSICS, vol. 59, 2018, : 23.
Albeverio, S., Tamura, H.: Asymptotics of the evolution semigroup associated with a scalar field in the presence of a non-linear electromagnetic field. JOURNAL OF MATHEMATICAL PHYSICS. 59, : 23 (2018).
Albeverio, Sergio, and Tamura, Hiroshi. “Asymptotics of the evolution semigroup associated with a scalar field in the presence of a non-linear electromagnetic field”. JOURNAL OF MATHEMATICAL PHYSICS 59.4 (2018): 23.

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