Instability and Chaos in Spatially Homogeneous Field Theories
نویسنده
چکیده
Spatially homogeneous field theories are studied in the framework of dynamical system theory. In particular we consider a model of inflationary cosmology and a Yang–Mills–Higgs system. We discuss also the role of quantum chaos and its application to field theories. PACS Numbers: 11.15.-q; 98.80.Cq; 05.45.+b 1 Electronic address: [email protected]
منابع مشابه
Stability of Yang-Mills-Higgs field system in the homogeneous self-dual vacuum field
Classical dynamics of SU(2) model gauge field system with Higgs field is considered in the homogeneous nonperturbative self-dual vacuum field. The regions of instability in parametric space are detected and described analytically. Introduction Much attention has been paid in the last decade to chaos in quantum field theory. At first, non-abelian Yang-Mills gauge fields were investigated without...
متن کاملThe Influence of Quantum Field Fluctuations on Chaotic Dynamics of Yang–Mills System
On example of the model field system we demonstrate that quantum fluctuations of non-abelian gauge fields leading to radiative corrections to Higgs potential and spontaneous symmetry breaking can generate order region in phase space of inherently chaotic classical field system. We demonstrate on the example of another model field system that quantum fluctuations do not influence on the chaotic ...
متن کاملQualitative Properties of Scalar-Tensor Theories of Gravity
The qualitative properties of spatially homogeneous stiff perfect fluid and minimally coupled massless scalar field models within general relativity are discussed. Consequently, by exploiting the formal equivalence under conformal transformations and field redefinitions of certain classes of theories of gravity, the asymptotic properties of spatially homogeneous models in a class of scalar-tens...
متن کاملHeading towards chaos criterion for quantum field systems
Chaos criterion for quantum field theory is proposed. Its accordance with classical chaos criterion is demonstrated in the semi-classical limit of quantum mechanics. Originally phenomenon of chaos was associated with problems of classical mechanics and statistical physics. Attempt of substantiation of statistical mechanics initiated intensive study of chaos and uncover its basic properties main...
متن کاملStudy of the Transition to Instability in Second-Harmonic Generation with Scale Index Method
The emergence of second-harmonic generation (SHG) is a pivotal issue to the development of nano-optical devices and interfaces. Here, we perform a classical analysis of the SHG dynamics with the aim of determining critical values of the electric field. The signals of the SHG process are nonlinear, so it seems reasonable that chaos theory can be a suitable tool to analyze their dynamics. For thi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1999