|  Cosmic Microwave Background Anisotropy | 
In General
  > s.a. cosmic microwave background [including history, missions].
  * Idea: The cmb is very nearly isotropic;
    ΔT/T ≈ 5 × 10−6
    on scales Δθ ≈ 10°, but the small variations of the temperature
    of the cmb as a function of  direction are very important; The main quantity measured is the
    average over all directions of the correlation between temperature variations at an angular
    separation θ,
c(θ):= \(\langle(\Delta T/T)\)(n1) \((\Delta T/T)\)(n2)\(\rangle\)st avg = (1/4π) ∑ l cl Pl(cosθ) .
  * Peaks: The "spectrum''
    cl is expected to have peaks as
    a function of l, whose position, height and shape give us information on
    physical parameters (baryon density, Hubble constant, topological defects vs inflation,
    etc); The position of the first peak indicates that the universe is spatially flat.
  @ Books, reviews: Rowan-Robinson 93;
    Durrer HPA(96)ap,
    ap/01-talk;
    Page ap/97-proc,
    ap/99-proc;
    Lasenby CQG(02);
    Bersanelli et al RNC(02);
    White & Cohn AJP(02)feb [RL];
    Subramanian CS(05)ap/04;
    Martínez & Vielva ap/05-proc;
    Bouchet et al ap/05-proc;
    Souradeep Pra(06)ap-proc [cosmology];
    Challinor & Peiris AIP(09)-a0903;
    Challinor AIP(12)-a1210;
    Carlstrom PT(15)mar-a1805 [and particle physics].
  @ General references: news pn(92)apr;
    Smoot & Scott ap/96,
    ap/97;
    Bennett et al PT(97)nov;
    Wright ap/03-proc;
    Eriksen et al ApJ(04)ap/03 [asymmetries];
    Magueijo & Sorkin MNRAS(07)ap/06 [Occam's razor and WMAP data];
    Bernui et al PLA(06) [and non-extensivity];
    Eisenstein & Bennett PT(08)apr;
    Hanson & Lewis PRD(09) [anisotropy estimators];
    Abramo & Pereira AiA(10)-a1002 [gaussianity, homogeneity and isotropy];
    news pw(13)mar,
    sn(18)jul [Planck results].
  @ Theory: Dodelson ap/97-TX18,
    IJMPA(00)hp/99-conf;
    Hu et al PRD(98) [in FLRW models];
    Durrer JPS(01)ap;
    Trotta PhD(04)ap;
    Giovannini IJMPD(05)ap/04 [tools];
    Bartolo et al JCAP(06),
    JCAP(07),
    ap/07-ln [at second order];
    Weinberg PRD(06)ap [no truncation approach];
    Zibin & Scott PRD(08)-a0808 [gauge issues];
    Pontzen PRD(09)-a0901,
    Sung et al MNRAS(10)-a1004,
    Clarkson & Regis JCAP(11) [in anisotropic models];
    López-Corredoira IJMPD(13)-a1303 [physical interpretation of peaks in the power spectrum];
    Benetti et al JCAP(13)-a1303 [indications of new physics in WMAP-9 data].
  @ Dipole: Lineweaver ap/96-proc,
    et al ApJ(96);
    Kamionkowski & Knox PRD(03);
    > s.a. standard model.
 Related topics:
  see cmb spatial features; brane cosmology;
  inflationary phenomenology;
  cosmological tests of gravity.
  Related topics:
  see cmb spatial features; brane cosmology;
  inflationary phenomenology;
  cosmological tests of gravity.

  Temperature variations in the cosmic microwave background. Credit: ESA and the Planck Collaboration
Other Effects and Special Topics
  > s.a. dark matter [indirect evidence];
  topological defects [domain wall networks].
  * Spectrum and non-Gaussianities: The CMB
    temperature anisotropies are almost Gaussian, and well described by the two-point correlation function
    in momentum space or power spectrum; Large non-Gaussianity and running index are strongly disfavored,
    but small deviations are described by the three-point function in momentum space or bispectrum.
  * Lensing: 
    From cmb statistical properties, one can determine that it has been gravitationally distorted
    without knowing where the distorting  structures are.
  @ Analysis:
    Lessner GRG(04) [non-acoustic peaks];
    Land & Magueijo MNRAS(05)ap/04 [independent components];
    Liu & Li a0806/ApJ [errors in WMAP maps];
    Bernui PRD(08)-a0809 [North-South asymmetry];
    Herranz & Vielva a0909 [compact-source detection];
    Liu & Li SCPMA(10)-a0911 [lack of power at low l];
    Efstathiou et al MNRAS(10)-a0911 [large-angle correlations consistent with ΛCDM model];
    Hamann et al JCAP(10)-a0912;
    Komatsu et al ApJS(11)-a1001 [WMAP 7-year data];
    Aurich et al CQG(10) [hot-pixel contamination];
    Dickinson PoS-a1212 [interferometry];
    Bennett et al ApJS(13)-a1212 [WMAP 9-year data];
    Hazra & Shafieloo PRD(14)-a1308 [consistency between Planck and WMAP].
  @ Non-Gaussianities:
    Kung PRD(93) [and Sachs-Wolfe effect];
    Creminelli et al JCAP(06) [bounds from WMAP];
    Bernui et al EPL(07)ap [and non-extensive statistical mechanics];
    Jeong & Smoot a0710 [WMAP3 data];
    McEwen et al MNRAS(08)-a0803 [WMAP5 data];
    Martínez-González a0805-proc;
    Yadav & Wandelt AiA(10)-a1006 [rev];
    Fergusson et al JCAP(12)-a1006,
    Pettinari PhD(16)-a1405 [bispectrum];
    Lacasa a1406-PhD [and extragalactic foregrounds];
    Buchert et al CQG(17)
    & CQG+ [model-independent analysis].
  @ And primordial magnetic fields: Paoletti et al MNRAS(09)-a0811;
    Kunze PRD(11)-a1007;
    Hortúa & Castañeda IAU(14)-a1408;
    > s.a. magnetism.
  @ And primordial gravitational waves: Saito et al JCAP(08)-a0705;
    Baskaran et al a1004-MG12;
    dos Santos a1202 [cmb temperature shift];
    Zhao et al a1403 [hint];
    Ota et al JCAP(14)-a1406 [μ distorsion];
    Shandera et al a1903.
  @ Related topics:
    Sakellariadou HPA(96)ap [and inflation vs topological defects];
    Corasaniti & Melchiorri PRD(08)-a0711 [acoustic waves];
    Fosalba & Doré PRD(07) [correlation with peculiar velocities];
    Bunn & Bourdon PRD(08)-a0808 [large-scale power deficit];
    Scodeller et al PRD(09)-a0901 [from acausal scaling seeds];
    Kanzaki et al PTP(10)-a0907 [effects of dark-matter annihilation];
    Hernández-Monteagudo A&A(10)-a0909 [cross correlation with NVSS];
    Kim & Naselsky ApJL(10)-a1008 [tension between even and odd multipole data];
    Martin & Vennin PRD(16)-a1510 [origin];
    > s.a. gravitational constant [variation]; parity
      [violation]; sound; types of lensing.
  @ Different interpretations:
    Cover ap/06 [image reconstruction].
And Quantum Gravity > s.a. cmb;
  lorentz-violation phenomenology;
  quantum-gravity phenomenology.
  @  General references: Hamada et al PRD(06)ap,
    PTP(07)-a0705 [quantum conformal gravity];
    Queisser et al CQG(07);
    Powell & Kinney PRD(07) [primordial power spectrum];
    Groeneboom & Elgarøy PRD(08)-a0711;
    news an(08)dec [before the Big Bang];
    Kiefer & Krämer PRL(12)-a1103,
    IJMPD(12)-a1205-GRF [and primordial power spectrum];
    Bini et al PRD(13)-a1303 [from a semiclassical expansion of the Wheeler-DeWitt equation];
    Kraemer a1303-MG13;
    Cai & Wang PLB(14)-a1404;
    Bini & Esposito a1506-MG14;
    de Alwis a1811
      [from Hartle-Hawking and tunneling (Vilenkin) wave functions].
  @  In lqc: Barrau a0911-MG12 [lqg];
    Grain a1206-proc;
    Agulló PRD(15)-a1507 [anomalous power asymmetry];
    Ashtekar et al a2103 [addressing anomalies].
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