Field algebra for critical O(N) vector nonlinear sigma models at 2 < d < 4

From an analysis of the four-point function of the definingO(N) vector field we derive three sequences of one primary and infinitely many secondary fields.

talk
sigma model: nonlinear
symmetry: O(N)
dimension: 2-4
n-point function
operator product expansion
field theory: conformal
group theory: representation

References(10)

Figures(0)

Calculation of Anomalous Dimensions for the Nonlinear $\sigma$ Model

D. Hof
(
- Heidelberg U.
)
,
F. Wegner
(
- Heidelberg U.
)

- Nucl.Phys.B 275 (1986) 561-579
•
DOI:
- 10.1016/0550-3213(86)90575-4

Anomalous dimesions for the nonlinear sigma-model in 2 + ε dimensions (I)

Franz Wegner
(
- Heidelberg U.
)

- Nucl.Phys.B 280 (1987) 193-209,
- Nucl.Phys.B 280 (1987) 193-209
•
DOI:
- 10.1016/0550-3213(87)90144-1

Anomalous dimensions for the nonlinear sigma-model, in 2 + ε dimensions (II)

Franz Wegner
(
- Heidelberg U.
)

- Nucl.Phys.B 280 (1987) 210-224,
- Nucl.Phys.B 280 (1987) 210-224
•
DOI:
- 10.1016/0550-3213(87)90145-3

Four Loop Order Beta Function for Two-dimensional Nonlinear $\sigma$ Models

Werner Bernreuther
(
- Heidelberg U.
)
,
Franz J. Wegner
(
- Heidelberg U.
)

- Phys.Rev.Lett. 57 (1986) 1383
•
DOI:
- 10.1103/PhysRevLett.57.1383

- Teor.Mat.Fiz. 46 104

- Teor.Mat.Fiz. 47 465

- Teor.Mat.Fiz. 50 127

Convergence of Operator Product Expansions on the Vacuum in Conformal Invariant Quantum Field Theory

G. Mack
(
- Hamburg U.
)

- Commun.Math.Phys. 53 (1977) 155
•
DOI:
- 10.1007/BF01609130

CRITICAL BEHAVIOR OF A CLASSICAL HEISENBERG FERROMAGNET WITH MANY DEGREES OF FREEDOM

E. Brezin
(
- Princeton U.
)
,
D.J. Wallace
(
- Princeton U.
)

- Phys.Rev.B 7 (1973) 5, 1967
•
DOI:
- 10.1103/PhysRevB.7.1967

A New improved energy - momentum tensor

Curtis G. Callan, Jr.
(
- Princeton, Inst. Advanced Study
)
,
Sidney R. Coleman
(
- Harvard U.
)
,
Roman Jackiw
(
- MIT, LNS
)

- Annals Phys. 59 (1970) 42-73
•
DOI:
- 10.1016/0003-4916(70)90394-5

Field algebra for critical O(N) vector nonlinear sigma models at 2 < d < 4

Citations per year

Calculation of Anomalous Dimensions for the Nonlinear σ\sigmaσ Model

Anomalous dimesions for the nonlinear sigma-model in 2 + ε dimensions (I)

Anomalous dimensions for the nonlinear sigma-model, in 2 + ε dimensions (II)

Four Loop Order Beta Function for Two-dimensional Nonlinear σ\sigmaσ Models

Convergence of Operator Product Expansions on the Vacuum in Conformal Invariant Quantum Field Theory

CRITICAL BEHAVIOR OF A CLASSICAL HEISENBERG FERROMAGNET WITH MANY DEGREES OF FREEDOM

A New improved energy - momentum tensor

Calculation of Anomalous Dimensions for the Nonlinear $\sigma$ Model

Four Loop Order Beta Function for Two-dimensional Nonlinear $\sigma$ Models