Four point renormalized coupling constant in O(N) models

Campostrini, Massimo; Pelissetto, Andrea; Rossi, Paolo; Vicari, Ettore

doi:10.1016/0550-3213(95)00569-2

Four point renormalized coupling constant in O(N) models

Massimo Campostrini
(
- Pisa U. and
- INFN, Pisa
)
,
Andrea Pelissetto
(
- Pisa U. and
- INFN, Pisa
)
,
Paolo Rossi
(
- Pisa U. and
- INFN, Pisa
)
,
Ettore Vicari
(
- Pisa U. and
- INFN, Pisa
)

Jun, 1995

47 pages

Published in:

Nucl.Phys.B 459 (1996) 207-242

e-Print:

hep-lat/9506002 [hep-lat]

DOI:

10.1016/0550-3213(95)00569-2

Report number:

IFUP-TH-24-95

View in:

ADS Abstract Service

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Abstract: (DESY)

The renormalized zero-momentum four-point coupling

g_r

of O(N)-invariant scalar field theories in

d

dimensions is studied by applying the 1/N expansion and strong coupling analysis. The O(1/N) correction to the

\beta

-function and to the fixed point value

g_r~*

are explictly computed. Strong coupling series for lattice non-linear sigma models are analyzed near criticality in d=2 and d=3 for several values of

N

and the corresponding values of

g_r~*

are extracted. Large-N and strong coupling results are compared with each other, finding a good general agreement. For small N the strong coupling analysis in 2-d gives the best determination of

g~*_r

to date (or comparable for N=2,3 with the available Monte Carlo estimates), and in 3-d it is consistent with available

\phi~4

field theory results.

11.10 Kk
11.15 Pg
64.60 Fr
75.10 Hk
field theory: scalar
symmetry: O(N)
dimension: 2
dimension: 3
coupling constant
expansion 1/N

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