Zobrazeno 1 - 10
of 85
pro vyhledávání: '"Todorov Ivan T"'
Autor:
Todorov, Ivan T.
It took eight years after Einstein announced the basic physical ideas behind the relativistic gravity theory before the proper mathematical formulation of general relativity was mastered. The efforts of the greatest physicist and of the greatest math
Externí odkaz:
http://arxiv.org/abs/physics/0504179
Autor:
Nikolov, Nikolay M., Todorov, Ivan T.
A concise review of the notions of elliptic functions, modular forms, and theta-functions is provided, devoting most of the paper to applications to Conformal Field Theory (CFT), introduced within the axiomatic framework of quantum field theory. Many
Externí odkaz:
http://arxiv.org/abs/math-ph/0412039
Autor:
Nikolov, Nikolay M., Todorov, Ivan T.
Publikováno v:
Int.J.Mod.Phys.A19:3605-3636,2004
Invariance under finite conformal transformations in Minkowski space and the Wightman axioms imply strong locality (Huygens principle) and rationality of correlation functions, thus providing an extension of the concept of vertex algebra to higher di
Externí odkaz:
http://arxiv.org/abs/math-ph/0405005
Autor:
Nikolov, Nikolay M., Todorov, Ivan T.
Global conformal invariance (GCI) of quantum field theory (QFT) in two and higher space-time dimensions implies the Huygens' principle, and hence, rationality of correlation functions of observable fields (see Commun. Math. Phys. 218 (2001) 417-436;
Externí odkaz:
http://arxiv.org/abs/hep-th/0403191
Publikováno v:
Nucl.Phys. B670 (2003) 373-400
Operator product expansions (OPE) for the product of a scalar field with its conjugate are presented as infinite sums of bilocal fields V_k (x_1, x_2) of dimension (k,k). For a {\it globally conformal invariant} (GCI) theory we write down the OPE of
Externí odkaz:
http://arxiv.org/abs/hep-th/0305200
The singular part of the \textit{operator product expansion} (OPE) of a pair of \textit{globally conformal invariant} (GCI) scalar fields $\phi$ of (integer) dimension $d$ can be written as a sum of the 2-point function of $\phi$ and $d-1$ bilocal co
Externí odkaz:
http://arxiv.org/abs/hep-th/0211106
Publikováno v:
J.Phys.A35:2985-3008,2002
Recently established rationality of correlation functions in a globally conformal invariant quantum field theory satisfying Wightman axioms is used to construct a family of soluble models in 4-dimensional Minkowski space-time. We consider in detail a
Externí odkaz:
http://arxiv.org/abs/hep-th/0110230
Publikováno v:
Nucl.Phys. B599 (2001) 499-530
The Z_k-parafermion Hall state is an incompressible fluid of k-electron clusters generalizing the Pfaffian state of paired electrons. Extending our earlier analysis of the Pfaffian, we introduce two ``parent'' abelian Hall states which reduce to the
Externí odkaz:
http://arxiv.org/abs/hep-th/0009229
Autor:
Nikolov, Nikolay M., Todorov, Ivan T.
Publikováno v:
Commun.Math.Phys. 218 (2001) 417-436
Rationality of the Wightman functions is proven to follow from energy positivity, locality and a natural condition of global conformal invariance (GCI) in any number D of space-time dimensions. The GCI condition allows to treat correlation functions
Externí odkaz:
http://arxiv.org/abs/hep-th/0009004