摘要:

AbstractIn this review we present variational and stochastic method of evaluating functional integrals and quantization of different fields (scalar, electromagnetic and Yang‐Mills gauge ones). These methods are applied to the study of the asymptotic behavior of the scalar particle Green functions in stochastic fields and to the construction of a finite quantum field theory by means of the nonlocal white noise‐like background stochastic fields in the scheme due to Parisi and Wu. In our mathematical prescription the white noise‐like field plays a double role, it controls the quantum behavior of the theory and at the same time it carries nonlocality in stochastic Langevin‐type equations. We also introduce stochasticity of the space‐time metric in the context of stochastic background field and discuss its con

ISSN:0015-8208    

DOI:10.1002/prop.2190390402

出版商:WILEY‐VCH Verlag    

年代:1991

数据来源: WILEY

摘要:

AbstractHomogeneous isotropic, anisotropic, and inhomogeneous cosmological models are studied using Einstein's general relativity with quntum corrections in field theoretical approximation. In particular we discuss coherent scalar fields and curvature squared terms in the gravitational Lagrangian. The conformal equivalence of the field equations of fourth order to general relativity with a scalar field as source is an example of the geometrization of a matter field.The aemiclassical quantum eorrections of the scalar fields can avoid the initial cosmological singularity and they lead to an inflationary evolution stage as transient attrator. The review provides new points of view on questions like the probability of the inflationary stage and the question of mechanisms for multiple inflation.

ISSN:0015-8208    

DOI:10.1002/prop.2190390403

出版商:WILEY‐VCH Verlag    

年代:1991

数据来源: WILEY

ISSN:0015-8208    

DOI:10.1002/prop.2190390401

出版商:WILEY‐VCH Verlag    

年代:1991

数据来源: WILEY