Conformal algebra and multipoint correlation functions in 2D statistical models

In the present paper, we considered Galilean conformal algebras (GCAs), which arises as a contraction relativistic conformal algebras (xi→ϵxi, t→t, ϵ→0). We can use the Galilean conformal (GC) symmetry to constrain two-point and three-point functions. Correlation functions in space–time without boundary condition were found [A. Bagchi and I. Mandal, Phys. Lett. B675, 393 (2009).]. In real situations, there are boundary conditions in space–time, so we have calculated correlation functions for GC invariant fields in semi-infinite space with boundary condition in r = 0. We have calculated two-point and three-point functions with boundary condition in fixed time.

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The Void Probability Function as a Statistical Indicator

Symposium - International Astronomical Union ◽

10.1017/s0074180900159327 ◽

1987 ◽

Vol 124 ◽

pp. 359-362

Author(s):

Marc Lachièze-Rey ◽

Sophie Maurogordato

Keyword(s):

Correlation Functions ◽

Statistical Models ◽

Probability Function ◽

Statistical Indicator ◽

Galaxy Distribution ◽

The Galaxy ◽

Statistical Indicators

Recent results concerning the galaxy distribution at scales < 100 h−1 Mpc (Ho = 100 h kms−1 Mpc−1) show a number of characteristics which cannot be described by conventional statistical models. Correlation functions, for instance, can in no way give account of the presence of voids of the cellular (or spongy) appearance of the local galaxy distribution (M. Geller, this conference). There is clearly a need for new kinds of statistical models and statistical indicators.

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Scattering theory and correlation functions in statistical models with a line of defect

Nuclear Physics B ◽

10.1016/0550-3213(94)90032-9 ◽

1994 ◽

Vol 432 (3) ◽

pp. 518-550 ◽

Cited By ~ 93

Author(s):

G. Delfino ◽

G. Mussardo ◽

P. Simonetti

Keyword(s):

Correlation Functions ◽

Statistical Models ◽

Scattering Theory

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THE CORRELATION FUNCTIONS OF THE (D4, A6) CONFORMAL MODEL

International Journal of Modern Physics A ◽

10.1142/s0217751x04019597 ◽

2004 ◽

Vol 19 (25) ◽

pp. 4271-4285

Author(s):

S. BALASKA ◽

K. DEMMOUCHE

Keyword(s):

Correlation Functions ◽

Conformal Algebra ◽

Fusion Rules ◽

Conformal Model ◽

Structure Constants

In this work, we exploit the operator content of the (D4, A6) conformal algebra. By constructing a Z2-invariants fusion rules of a chosen subalgebra and by resolving the bootstrap equations consistent with these rules, we determine the structure constants of the subalgebra.

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