The Critical O(N) sigma model at dimension 2 < d < 4 and order 1/n**2: Operator product expansions and renormalization

Lang, K.; Ruhl, W.

doi:10.1016/0550-3213(92)90028-A

The Critical O(N) sigma model at dimension 2 < d < 4 and order 1/n**2: Operator product expansions and renormalization

K. Lang
(
- Kaiserslautern U.
)
,
W. Ruhl
(
- Kaiserslautern U.
)

Jun, 1991

31 pages

Published in:

Nucl.Phys.B 377 (1992) 371-401

Published: 1992

DOI:

10.1016/0550-3213(92)90028-A

Report number:

KL-TH-91-11

View in:

AMS MathSciNet

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Abstract: (Elsevier)

A 1/ N -expansion at O [1/N 2 ] is applied to the four-point function of O( N ) vector fields. Conformal integrals for graphs are calculated. The necessary renormalizations are performed with different methods appropriate to each case. We compare the result with operator product expansions.

sigma model: nonlinear
symmetry: O(N)
dimension: 2-4
operator product expansion
renormalization
invariance: conformal
Feynman graph: higher-order
expansion 1/N: higher-order

References(7)

Figures(0)

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

K. Lang
(
- Kaiserslautern U.
)
,
W. Ruhl
(
- Kaiserslautern U.
)

- Z.Phys.C 50 (1991) 285-292,
- In *Debrecen 1990, Proceedings, Nonperturbative methods in low dimensional quantum field theories* 413-419 and Preprint - Lang, K. (90,rec.Oct.) 20 p
•
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Simple Method of Calculating the Critical Indices in the 1/ $N$ Expansion

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- Teor. Mat. Fiz. 46 ( 1981) 157-171
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1/ $N$ Expansion: Calculation of the Exponents $\eta$ and Nu in the Order 1/ $N^2$ for Arbitrary Number of Dimensions

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- Teor.Mat.Fiz. 47 (1981) 291-306,
- Teor. Mat. Fiz. 47 ( 1981) 291-306
•
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- 10.1007/BF01019296

1/N EXPANSION: CALCULATION OF THE EXPONENT ETA IN THE ORDER 1/N**3 BY THE CONFORMAL BOOTSTRAP METHOD

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- Teor.Mat.Fiz. 50 (1982) 195-206,
- Teor. Mat. Fiz. 50 ( 1982) 195-206
•
DOI:
- 10.1007/BF01015292

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

On self-consistency conditions in conformal covariant field theory

G. Parisi
(
- Frascati
)

- Lett.Nuovo Cim. 4 (1972) 777-780
•
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THEORETICAL PREDICTIONS FOR CRITICAL EXPONENTS AT THE lambda POINT OF BOSE LIQUIDS

- Lett.Nuovo Cim. 2 (1971) 17, 878-880
•
DOI:
- 10.1007/BF02774121

The Critical O(N) sigma model at dimension 2 < d < 4 and order 1/n**2: Operator product expansions and renormalization

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

Simple Method of Calculating the Critical Indices in the 1/NNN Expansion

1/NNN Expansion: Calculation of the Exponents η\etaη and Nu in the Order 1/N2N^2N2 for Arbitrary Number of Dimensions

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

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