The Critical O(N) sigma model at dimension 2 < d < 4: Hardy-Ramanujan distribution of quasiprimary fields and a collective fusion approach - INSPIRE

DataBETA

The Critical O(N) sigma model at dimension 2 < d < 4: Hardy-Ramanujan distribution of quasiprimary fields and a collective fusion approach

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

Jan, 1994

21 pages

Published in:

Z.Phys.C 63 (1994) 531-540

e-Print:

hep-th/9401116 [hep-th]

DOI:

10.1007/BF01580334

Report number:

KL-TH-94-2

View in:

reference search17 citations

Citations per year

Abstract: (DESY)

The distribution of quasiprimary fields of fixed classes characterized by their O

(N)

representations

Y

and the number

p

of vector fields from which they are composed at

N=\infty

in dependence on their normal dimension

[\delta]

is shown to obey a Hardy-Ramanujan law at leading order in a

\frac{1}{N}

-expansion. We develop a method of collective fusion of the fundamental fields which yields arbitrary \qps and resolves any degeneracy.

sigma model: nonlinear
symmetry: O(N)
dimension: >2
dimension: <4
partition function
algebra: Virasoro
algebra: representation
algebra: fusion
field theory: conformal
numerical calculations

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
•
DOI:
- 10.1007/BF01474081

Anomalous dimensions of tensor fields of arbitrary rank for critical nonlinear O(N) sigma models at 2 < d < 4 to first order in 1/N

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

- Z.Phys.C 51 (1991) 127-132
•
DOI:
- 10.1007/BF01579569

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.
)

- Nucl.Phys.B 377 (1992) 371-401
•
DOI:
- 10.1016/0550-3213(92)90028-A

The Scalar ancestor of the energy momentum field in critical sigma models at 2 < d < 4

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

- Phys.Lett.B 275 (1992) 93-98
•
DOI:
- 10.1016/0370-2693(92)90856-Y

The Critical O(N) sigma model at dimensions 2 < d < 4: A List of quasiprimary fields

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

- Nucl.Phys.B 402 (1993) 573-603
•
DOI:
- 10.1016/0550-3213(93)90119-A

The Critical O(N) sigma model at dimensions 2 < d < 4: Fusion coefficients and anomalous dimensions

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

- Nucl.Phys.B 400 (1993) 597-623
•
DOI:
- 10.1016/0550-3213(93)90417-N

- Int.J.Mod.Phys.A 1 304