QUANTUM GROUPS AND FIELD THEORY

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Quantum groups and quantum field theory: III. Renormalisation

The Hopf algebra of renormalisation in quantum field theory is described at a general level. The products of fields at a point are assumed to form a bialgebra B and renormalisation endows T (T (B)), the double tensor algebra of B, with the structure of a noncommutative bialgebra. When the bialgebra B is commutative, renormalisation turns S(S(B)), the double symmetric algebra of B, into a commut...

متن کامل

Quantum Groups and Quantum Field Theory in Rindler Space-Time

Quantum Field Theory (QFT) developed in Rindler space-time and its thermal properties are analyzed by means of quantum groups approach. The quantum deformation parameter, labelling the unitarily inequivalent representations, turns out to be related to the acceleration of the Rindler frame. PACS number(s): 02.20.-a, 04.62.+v. ∗E-mail: [email protected]

متن کامل

Quasi-Quantum Groups, Knots, Three-Manifolds, and Topological Field Theory

We show how to construct, starting from a quasi-Hopf algebra, or quasi-quantum group, invariants of knots and links. In some cases, these invariants give rise to invariants of the three-manifolds obtained by surgery along these links. This happens for a finite-dimensional quasi-quantum group, whose definition involves a finite group G, and a 3-cocycle ω, which was first studied by Dijkgraaf, Pa...

متن کامل

Perturbative Algebraic Quantum Field Theory and the Renormalization Groups

A new formalism for the perturbative construction of algebraic quantum eld theory is developed. The formalism allows the treatment of low dimensional theories and of non-polynomial interactions. We discuss the connection between the Stückelberg-Petermann renormalization group which describes the freedom in the perturbative construction with the Wilsonian idea of theories at di erent scales . In...

متن کامل

Topological Field Theory and Quantum Holonomy Representations of Motion Groups

Canonical quantization of abelian BF -type topological field theory coupled to extended sources on generic d-dimensional manifolds and with curved line bundles is studied. Sheaf cohomology is used to construct the appropriate topological extension of the action and the topological flux quantization conditions, in terms of the Čech cohomology of the underlying spatial manifold, as required for t...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Modern Physics Letters A

سال: 2000

ISSN: 0217-7323,1793-6632

DOI: 10.1142/s0217732300002218