SVIBOR - Project code: 1-03-142

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Project code: 1-03-142

RELATIVISTIC CLASSICAL AND QUANTUM NONLINEAR FIELD THEORY

Main researcher: HORVAT, DUBRAVKO (98703)

Assistants

NARANČIĆ, ZORAN (127025)

Type of research: basic
Duration from: 01/01/91.

Papers on project (total): 5
Papers on project quoted in Current Contents: 2

Institution name: Fakultet elektrotehnike i računarstva, Zagreb (36)
Department/Institute: Department of Physics
Address: Unska 3
City: 10000 - Zagreb, Croatia

Communication: Phone: 385 (0)1 6129-604; Phone: 385 (0)1 6129-670; Fax: 385 (0)1 6129-605; E-mail: dubravko.horvat@fer.hr

Summary: The theory of massive and massless Yang-Mills (vector) fields has been formulated in 3+1 dimensional Minkowski space. The fields are coupled to fermion fields in a covariant manner. Nonlinear equations of motion have been solved and solutions thus obtained have been applied to calculate static properties of nucleons. In the Euclidean space instantons induce quark operators which have been used to calculate baryon and kaon nonleptonic decay amplitudes. Nonlinear field theory of scalar and vector fields in 3+1 dimensions have been formulated. Nonlinear system of differential equations has been solved. Field quantization has been achieved by coupling the fields to corresponding quark fields. Field equations for the SU(3) gauge theory in 2+1 dimensions have been calculated in the theory with the Chern-Simons term. Calculation of the energy functional from which boundary conditions for the nonlinear system of field equations is in progress.

Keywords: classical field theory, quantum field theory, nonlinear field theory, quantization, lower dimensional field theory, Chern-Simons term, gauge theory

Research goals: The main goal of the project is methodology of solutions of nonlinear classical and quantum field theories. Although the nonlinarity in field theory had been systematically avoided until recently, it was shown that it could lead to solitonic and topological structures which could mimic realistic physical situations. Massive vector fields of the Young-Mills (non-Abelian) type are present in the particle spectrum. Their interaction with fermions is in principle nonlinear so it is necessary to investigate solutions of such problems. Field theory in lower dimensional space is connected with the high temperature limit of standard field theories and it has been shown to be connected with the high temperature superconductivity as well.

COOPERATION - INSTITUTIONS

Name of institution: International Centre fot Theoretical Physics
Type of institution: International organization
Type of cooperation: Other
City: Trst, Italija

Other information about the project.


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Last update: 10/12/95
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