scholarly journals Generalization of the Kaiser Rocket effect in general relativity in the wide-angle galaxy 2-point correlation function

2020 ◽  
Vol 29 (12) ◽  
pp. 2050085
Author(s):  
Daniele Bertacca
Keyword(s):  
General Relativity ◽  
Correlation Function ◽  
Power Spectrum ◽  
Relativistic Effects ◽  
Wide Angle ◽  
The Galaxy ◽  
Point Correlation ◽  
Point Correlation Function ◽  
General Relativistic ◽  
Rocket Effect

We study wide-angle correlations in the galaxy power spectrum in redshift space, including all general relativistic effects and the Kaiser Rocket effect in general relativity. We find that the Kaiser Rocket effect becomes important on large scales and at high redshifts, and leads to new contributions in wide-angle correlations. We believe this effect might be very important for future large volume surveys.

scholarly journals Doppler term in the galaxy two-point correlation function: Wide-angle, velocity, Doppler lensing and cosmic acceleration effects

2018 ◽  
Vol 19 ◽  
pp. 109-123 ◽  
Author(s):  
Alvise Raccanelli ◽  
Daniele Bertacca ◽  
Donghui Jeong ◽  
Mark C. Neyrinck ◽  
Alexander S. Szalay
Keyword(s):  
Correlation Function ◽  
Cosmic Acceleration ◽  
Wide Angle ◽  
The Galaxy ◽  
Point Correlation ◽  
Point Correlation Function

scholarly journals Cosmological Spectrum of Two-Point Correlation Function from Vacuum Fluctuation of Stringy Axion Field in De Sitter Space: A Study of the Role of Quantum Entanglement

Universe ◽  
2020 ◽  
Vol 6 (6) ◽  
pp. 79
Author(s):  
Sayantan Choudhury ◽  
Sudhakar Panda
Keyword(s):  
Correlation Function ◽  
Power Spectrum ◽  
Quantum Entanglement ◽  
De Sitter Space ◽  
Entangled State ◽  
De Sitter ◽  
Vacuum Fluctuation ◽  
Axion Field ◽  
Point Correlation ◽  
Point Correlation Function

In this work, we study the impact of quantum entanglement on the two-point correlation function and the associated primordial power spectrum of mean square vacuum fluctuation in a bipartite quantum field theoretic system. The field theory that we consider is the effective theory of axion field arising from Type IIB string theory compacted to four dimensions. We compute the expression for the power spectrum of vacuum fluctuation in three different approaches, namely (1) field operator expansion (FOE) technique with the quantum entangled state, (2) reduced density matrix (RDM) formalism with mixed quantum state and (3) the method of non-entangled state (NES). For a massless axion field, in all three formalisms, we reproduce, at the leading order, the exact scale invariant power spectrum which is well known in the literature. We observe that due to quantum entanglement, the sub-leading terms for these thee formalisms are different. Thus, such correction terms break the degeneracy among the analysis of the FOE, RDM and NES formalisms in the super-horizon limit. On the other hand, for massive axion field we get a slight deviation from scale invariance and exactly quantify the spectral tilt of the power spectrum in small scales. Apart from that, for massless and massive axion field, we find distinguishable features of the power spectrum for the FOE, RDM, and NES on the large scales, which is the result of quantum entanglement. We also find that such large-scale effects are comparable to or greater than the curvature radius of the de Sitter space. Most importantly, in near future if experiments probe for early universe phenomena, one can detect such small quantum effects. In such a scenario, it is possible to test the implications of quantum entanglement in primordial cosmology.

scholarly journals Understanding the shape of the galaxy two-point correlation function at z ≃ 1 in the COSMOS field

2010 ◽  
Vol 409 (2) ◽  
pp. 867-872 ◽  
Author(s):  
S. De La Torre ◽  
L. Guzzo ◽  
K. Kovač ◽  
C. Porciani ◽  
U. Abbas ◽  
...  
Keyword(s):  
Correlation Function ◽  
The Galaxy ◽  
Point Correlation ◽  
Point Correlation Function

The galaxy two-point correlation function down to V - 26 magnitudes on 0.5-deg scales

1991 ◽  
Vol 382 ◽  
pp. 32 ◽  
Author(s):  
Lyman W. Neuschaefer ◽  
Rogier A. Windhorst ◽  
Alan Dressler
Keyword(s):  
Correlation Function ◽  
The Galaxy ◽  
Point Correlation ◽  
Point Correlation Function

scholarly journals Modeling the Galaxy Three‐Point Correlation Function

2008 ◽  
Vol 672 (2) ◽  
pp. 849-860 ◽  
Author(s):  
Felipe A. Marin ◽  
Risa H. Wechsler ◽  
Joshua A. Frieman ◽  
Robert C. Nichol
Keyword(s):  
Correlation Function ◽  
The Galaxy ◽  
Point Correlation ◽  
Point Correlation Function

scholarly journals The autocorrelation analysis of deep galaxy samples

1978 ◽  
Vol 79 ◽  
pp. 280-280
Author(s):  
S. Phillipps
Keyword(s):  
Correlation Function ◽  
Small Area ◽  
Angular Diameter ◽  
Selection Function ◽  
Autocorrelation Analysis ◽  
Galaxy Distribution ◽  
Royal Observatory ◽  
The Galaxy ◽  
Point Correlation ◽  
Point Correlation Function

The two point correlation function w(θ) has been evaluated for the galaxies measured by the COSMOS machine at the Royal Observatory, Edinburgh, in an area of about 2 square degrees on a 2 hour exposure J plate and a 2 hour exposure R plate (Phillipps, S., Fong, R., Ellis, R.S., Fall, S.M. and MacGillivray, H.T., 1977, Mon. Not. R. astr. Soc., in press). in each case w(θ) is found to be in agreement with the form w = Aθ−0.8 found previously by Peebles and coworkers. Since the samples are not magnitude limited the selection function, i.e. the distribution in distance, was determined by using models of the galaxy distribution to fit the observed angular diameter counts. However, when these selection functions are used to scale the amplitudes found for our samples, the amplitudes are found to be lower than those expected from Peebles' results by a factor of about 3. We consider that this is likely to be due to a lack of clusters in the small area of sky which we have studied: analysis of further areas should show whether this is the case.

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