Polylogarithm identities in a conformal field theory in three dimensions
نویسندگان
چکیده
منابع مشابه
Polylogarithm identities in a conformal field theory in three dimensions
The N = ∞ vector O(N) model is a solvable, interacting field theory in three dimensions (D). In a recent paper with A. Chubukov and J. Ye [1], we have computed a universal number, c̃, characterizing the size dependence of the free energy at the conformally-invariant critical point of this theory. The result [1] for c̃ can be expressed in terms of polylogarithms. Here, we use non-trivial polylogar...
متن کاملCorrelation Functions of a Conformal Field Theory in Three Dimensions
We derive explicit forms of the two–point correlation functions of the O(N) non-linear sigma model at the critical point, in the large N limit, on various three dimensional manifolds of constant curvature. The two–point correlation function, G(x, y), is the only n-point correlation function which survives in this limit. We analyze the short distance and long distance behaviour of G(x, y). It is...
متن کاملA Three - Dimensional Conformal Field Theory
This talk is based on a recent paper 1 of ours. In an attempt to understand three-dimensional conformal field theories, we study in detail one such example – the large N limit of the O(N) non-linear sigma model at its non-trivial fixed point – in the zeta function regularization. We study this on various three-dimensional manifolds of constant curvature of the kind Σ × R (Σ = S 1 × S 1 , S 2 , ...
متن کاملLogarithmic Conformal Field Theory Through Nilpotent Conformal Dimensions
We study logarithmic conformal field theories (LCFTs) through the introduction of nilpotent conformal weights. Using this device, we derive the properties of LCFT’s such as the transformation laws, singular vectors and the structure of correlation functions. We discuss the emergence of an extra energy momentum tensor, which is the logarithmic partner of the energy momentum tensor. PACS: 11.25.Hf
متن کاملConformal Quantum Field Theory in Two and Four Dimensions
We review basic features and selected topics in conformal field theory, considering memorable results in 2D CFT and a recent attempt to construct a 4D analogue of a chiral algebra generated by local (observable) fields with rational correlation functions from a unified point of view. Mathematical Subject Classification. 81T40, 81R10, 81T10
متن کاملذخیره 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: Physics Letters B
سال: 1993
ISSN: 0370-2693
DOI: 10.1016/0370-2693(93)90935-b