A New Class of Conformal Field Theories with Anomalous Dimensions
スポンサーリンク
概要
- 論文の詳細を見る
The Wilsonian renormalization group (WRG) equation is used to derive a new class of scale invariant field theories with nonvanishing anomalous dimensions in 2-dimensional N = 2 supersymmetric nonlinear sigma models. When the coordinates of the target manifolds have nnntrivial anomalous dimensions. the vanishing of the βfunction suggests the existence of novel conformal field theories whose target space is not Ricci flat. We construct such conformal field theories with U(N) symmetry. These theories have one free parameter, a, corresponding to the anomalous dimension of the scalar fields. The new conformal field theories are well-behaved for positive a, while they have curvature singularities at the boundary for a < 0. When the target space is of one complex dimension, we obtain the explicit form of the Lagrangian, which reduces to two different kinds of free field theories in the weak and strong coupling limits. The target space in this case resembles a sftmi-infinite cigar, with one dimension compactified to a circle.
- 理論物理学刊行会の論文
- 2003-05-25
著者
-
HIGASHIJIMA Kiyoshi
Department of Physics, University of Tokyo
-
Itou Etsuko
Department Of Physics Graduate School Of Science Osaka University
-
Higashijima K
Department Of Physics Graduate School Of Science Osaka University
-
Higashijima Kiyoshi
Department Of Physics Graduate School Of Science Osaka University
-
HIGASHIJIMA Kiyoshi
Department of Physics,Graduate School of Science Osaka University
関連論文
- Normal Coordinates in Kahler Manifolds and the Background Field Method
- The Recovery of the Chiral Symmetry in Lattice Gross-Neveu Model : Particles and Fields
- μ-e Universality and the Spontaneous μ-e Mass Splitting
- Group Theoretic Analysis of Conformal Invariant Field Theories
- Quantum Equivalence of Auxiliary Field Methods in Supersymmetric Theories
- Three Dimensional Conformal Sigma Models(Particles and Fields)
- Wilsonian Renormalization Approach to Nonlinear Sigma Models(Frontiers of Quantum Physics)
- Three Dimensional Nonlinear Sigma Models in the Wilsonian Renormalization Method(Particles and Fields)
- A New Class of Conformal Field Theories with Anomalous Dimensions
- Wilsonian Renormalization Group Approach to N= 2 Supersymmetric Sigma Models(Particles and Fields)
- Large-N Limit of N=2 Supersymmetric Q^N Model in Two Dimensions
- Kahler Normal Coordinate Expansion in Supersymmetric Theories
- Low Energy Theorems in N=1 Supersymmetric Theory : Particles and Fields
- Diagonalization of the Light Cone QCD_4 Mass Operator in a Ladder Quarkonium Basis : Particles and Fields
- Unitarity Bound of the Wave Function Renormalization Constant
- Supersymmetric Nonlinear Sigma Models as Gauge Theories
- Three Dimensional Nonlinear Sigma Models in the Wilsonian Renormalization Method
- Renormalization Groups of Gell-Mann and Low and of Callan and Symanzik
- Unitarity Bound of the Wave Function Renormalization Constant(Particles and Fields)
- Theory of Dynamical Symmetry Breaking
- Solutions of the Spinor-Spinor Bethe-Salpeter Equaton in the Scalar-Vector Sector
- Compositeness and Anomalous Dimensions
- Exact Solutions of the Spinor-Spinor Bethe-Salpeter Equation and Their Gauge Dependence
- The Adler-Bardeen Theorem in Quantum Electrodynamics
- e^+e^-⇾Hadrons Total Cross Sections and the Parton-Antiparton Interactions