Landau ghost pole problem in quantum field theory: From 50th of last century to the present day

Journal Article · Fri Mar 25 00:00:00 EDT 2016 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4944122· OSTI ID:22590938

Mutallimov, Mutallim M. ^[1]

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1. Institute of Applied Mathematics, Baku State University, Baku (Azerbaijan)

In this paper we present our results of the investigation of asymptotical behavior of amplitude at short distances in four-dimensional scalar field theory with ϕ{sup 4} interaction. To formulate of our calculating model – two-particle approximation of the mean-field expansion we have used an Rochev’s iteration scheme of solution of the Schwinger-Dyson equations with the fermion bilocal source. We have considered the nonlinear integral equations in deep-inelastic region of momenta. As result we have a non-trivial behavior of amplitude at large momenta.

• OSTI ID: 22590938
• Journal Information: AIP Conference Proceedings, Vol. 1722, Issue 1; Conference: BPU-9: 9. international physics conference of the Balkan Physical Union, Istanbul (Turkey), 24-27 Aug 2015; Other Information: (c) 2016 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
APPROXIMATIONS
DEEP INELASTIC SCATTERING
FERMIONS
FOUR-DIMENSIONAL CALCULATIONS
INTEGRAL EQUATIONS
ITERATIVE METHODS
MATHEMATICAL SOLUTIONS
MEAN-FIELD THEORY
NONLINEAR PROBLEMS
QUANTUM FIELD THEORY
SCALAR FIELDS
SCALARS
SCATTERING AMPLITUDES