Skip to main content Accessibility help
×
Hostname: page-component-76fb5796d-vvkck Total loading time: 0 Render date: 2024-04-26T15:10:09.997Z Has data issue: false hasContentIssue false

6 - Primordial Magnetic Fields in the Early Universe and Cosmic Microwave Background Anisotropies

Published online by Cambridge University Press:  21 April 2018

Fabio Finelli
Affiliation:
INAF/IASF, Bologna, Italy
Daniela Paoletti
Affiliation:
INAF/IASF, Bologna, Italy
Jorge Sánchez Almeida
Affiliation:
Instituto de Astrofísica de Canarias, Tenerife
María Jesús Martínez González
Affiliation:
Instituto de Astrofísica de Canarias, Tenerife
Get access

Summary

Introductory Remarks

Our aim in the talks given at the XXV Canary Islands Winter School of Astrophysics in 2013 was to present models for the generation of primordial magnetic fields in the early Universe and the imprints that these leave in cosmological observables, with an emphasis on Cosmic Microwave Background (CMB) anisotropies.

Introduction

The origin of the large-scale magnetic fields (LSMF) observed in galaxies, clusters of galaxies, with also hints of their presence in cosmic voids and on even larger scales in filaments, is an open issue of great importance in modern astrophysics (seeWidrow, 2002, for reviews). Both large-scale and stochastic components are present in magnetic fields observed in galaxies (usually dependent on the morphology of the host) with magnitudes from a few to several microGauss (μG). In clusters of galaxies, stochastic magnetic fields from a few to several μG strength are present with a correlation scale of the order of magnitude of ten kiloparsec (Clarke et al., 2001; Enslin & Vogt, 2006). More recently, the presence of intergalactic magnetic fields even in cosmic voids of the large-scale structure was proposed as a possible explanation for the gamma-ray observations of a couple of blazars (Neronov & Vovk, 2010; Taylor et al., 2011; Vovk et al., 2012; Tavecchio et al., 2010, 2011; Dolag et al., 2011). As a possible explanation for the lack of TeV photons observed in the high-energy spectrum from these blazars a lower bound of 10−1810−15 G was derived for such pervasive intergalactic magnetic fields.

In light of this multitude of observations of LSMF of different magnitudes and different coherence lengths, a primordial hypothesis for generating the seed magnetic fields, which are amplified afterwards by adiabatic compression and dynamo during structure formation, is a viable possibility (Widrow, 2002), also taking in consideration the recent observations of strong magnetic fields in galaxies at high redshift (Bernet et al., 2008; Wolfe et al., 2008). Recently, initial seeds motivated as primordial magnetic fields (PMF) have been used in N-body simulations to reproduce magnetic fields in clusters of galaxies (Govoni et al., 2013; Xu et al., 2012).

Type
Chapter
Information
Publisher: Cambridge University Press
Print publication year: 2018

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Addison, G. E., Dunkley, J., Spergel, D. N., 2012, MNRAS, 427, 1741CrossRef
Amendola, L., Finelli, F., 2005, PhRvL, 94, 221303
Ballardini, M., Finelli, F., Paoletti, D., 2014, arXiv, arXiv:1412.1836
Bernet, M. L., Miniati, F., Lilly, S. J., Kronberg, P. P., Dessauges-Zavadsky, M., 2008, Natur, 454, 302CrossRef
BICEP2/Keck, et al., 2015, arXiv, arXiv:1502.00612
Bonvin, C., Caprini, C., Durrer, R., 2013, PhRvD, 88, 083515
Brown, M. L., et al., 2009, ApJ, 705, 978CrossRef
Brown, I., Crittenden, R., 2005, PhRvD, 72, 063002
Bucher, M., Moodley, K., Turok, N., 2001, PhRvL, 87, 191301
Byrnes, C. T., Hollenstein, L., Jain, R. K., Urban, F. R., 2012, JCAP, 3, 009
Cai, R.-G., Hu, B., Zhang, H.-B., 2010, JCAP, 8, 025
Calzetta, E., Kandus, A., 2002, PhRvD, 65, 063004
Caprini, C., Durrer, R., Kahniashvili, T., 2004, PhRvD, 69, 063006
Caprini, C., Finelli, F., Paoletti, D., Riotto, A., 2009, JCAP, 6, 021
Chiang, H. C., et al., 2010, ApJ, 711, 1123CrossRef
Chluba, J. and Thomas, R. M, MNRAS 412, 748
Chluba, J., Paoletti, D., Finelli, F., Rubino-Martin, J.-A., 2015, MNRAS, 451, 2244.CrossRef
Clarke, T. E., Kronberg, P. P., Böhringer, H., 2001, ApJ, 547, L111CrossRef
Dolag, K., Kachelriess, M., Ostapchenko, S., Tomàs, R., 2011, ApJ, 727, LL4CrossRef
Durrer, R., Caprini, C., 2003, JCAP, 11, 010
Dvorkin, C., Wyman, M., Hu, W., 2011, PhRvD, 84, 123519
Enslin, T. A., Vogt, C., 2006, A&A, 453, 447
Figueroa, D. G., Caldwell, R. R., Kamionkowski, M., 2010, PhRvD, 81, 123504
Finelli, F., Gruppuso, A., 2001, PLB, 502, 216.CrossRef
Finelli, F., Gruppuso, A., Venturi, G., 1999, CQG 16, 3923.CrossRef
Finelli, F., Paci, F., Paoletti, D., 2008, PhRvD, 78, 023510
Fowler, J. W., et al., 2010, ApJ, 722, 1148CrossRef
Gasperini, M., Giovannini, M., Veneziano, G., 1995, PhRvL, 75, 3796
Gelman, A., Rubin, D. B., 1992, Statistical Science, 7, 457
Govoni, F., Murgia, M., Xu, H., et al., 2013, A&A, 554, AA102
Grasso, D., Riotto, A., 1998, PhLB, 418, 258
Grasso, D., Rubinstein, H. R., 1995, APh, 3, 95
Harrison, E. R., 1970, MNRAS, 147, 279CrossRef
Hastings, W. K., 1970, Biometrika, 57, 97CrossRef
Ichiki, K., Takahashi, K., Ohno, H., Hanayama, H., Sugiyama, N., 2006, Sci, 311, 827
Jarosik, N., et al., 2011, ApJS, 192, 14CrossRef
Jedamzik, K., Katalinić, V., Olinto, A. V., 1998, PhRvD, 57, 3264
Jedamzik, K., Katalinić, V., Olinto, A. V., 2000, PhRvL, 85, 700
Kahniashvili, T., Lavrelashvili, G., 2010, arXiv, arXiv:1010.4543
Kahniashvili, T., Ratra, B., 2005, PhRvD, 71, 103006
Kahniashvili, T., Ratra, B., 2007, PhRvD, 75, 023002
Kahniashvili, T., Kosowsky, A., Mack, A., Durrer, R., 2001, AIPC, 555, 451
Kahniashvili, T., Maravin, Y., Kosowsky, A., 2009, PhRvD, 80, 023009
Kahniashvili, T., et al., 2010, PhRvD, 82, 083005
Kahniashvili, T., Maravin, Y., Lavrelashvili, G., Kosowsky, A., 2014, PhRvD, 90, 083004
Keisler, R., et al., 2011, ApJ, 743, 28CrossRef
Komatsu, E., Seljak, U., 2002, MNRAS, 336, 1256CrossRef
Kosowsky, A., Kahniashvili, T., Lavrelashvili, G., Ratra, B., 2005, PhRvD, 71, 043006
Kunze, K. E., Komatsu, E., 2014, JCAP, 1, 009
Kunze, K. E., Komatsu, E., 2015, arXiv, arXiv:1501.00142
Larson, D., et al., 2011, ApJS, 192, 16CrossRef
Lewis, A., 2004a, PhRvD, 70, 043011
Lewis, A., 2004b, PhRvD, 70, 043518
Lewis, A., Bridle, S., 2002, PhRvD, 66, 103511
Lewis, A., Bridle, S., 2011, ascl.soft, 1106.025
Lewis, A., Challinor, A., Lasenby, A., 2000, ApJ, 538, 473CrossRef
Ma, C.-P., Bertschinger, E., 1995, ApJ, 455, 7CrossRef
Mack, A., Kahniashvili, T., Kosowsky, A., 2002, PhRvD, 65, 123004
Malyshkin, L., Boldyrev, S., 2007, ApJ, 671, L185CrossRef
Matarrese, S., Mollerach, S., Notari, A., Riotto, A., 2005, PhRvD, 71, 043502
Mennella, A., et al., 2011, A&A, 536, AA3
Millea, M., Doré, O., Dudley, J., et al., 2012, ApJ, 746, 4CrossRef
Neronov, A., Vovk, I., 2010, Sci, 328, 73
Paoletti, D., 2007, Masters thesis, University of BolognaGoogle Scholar
Paoletti, D., Finelli, F., 2011, PhRvD, 83, 123533
Paoletti, D., Finelli, F., 2013, PhLB, 726, 45
Paoletti, D., Finelli, F., Paci, F., 2009, MNRAS, 396, 523CrossRef
Paoletti, D., Aghanim, N., Douspis, M., et al., 2012, MNRAS, 426, 496CrossRef
Planck Collaboration, et al., 2011a, A&A, 536, AA13
Planck Collaboration, et al., 2011b, A&A, 536, AA18
Planck Collaboration, et al., 2014, A&A, 571, AA16
Planck Collaboration, Ade, P. A. R., Aghanim, N., et al., 2016, arXiv:1502.01594
Planck HFI Core Team, et al., 2011a, A&A, 536, AA6
Planck HFI Core Team, et al., 2011b, A&A, 536, AA4
Pogosian, L., Yadav, A., Ng, B., & Vachaspati, T. 2011, Astrophysics Source Code Library, 1106.018
Ratra, B., 1992, ApJL 391, L1.CrossRef
Reichardt, C. L., et al., 2009, ApJ, 694, 1200CrossRef
Reichardt, C. L., et al., 2012, ApJ, 755, 70CrossRef
Schleicher, D. R. G., Banerjee, R., Klesser, R. S., 2008, PhRvD, 78, 083005
Seager, S., Sasselov, D. D. and Scott, D., 2000, ApJS, 128, 407CrossRef
Serra, P., Cooray, A., Amblard, A., Pagano, L., Melchiorri, A., 2008, PhRvD, 78, 043004
Seshadri, T. R., Subramanian, K., 2009, PhRvL, 103, 081303
Sethi, S. K. and Subramanian, K., 2005, MNRAS, 356, 778CrossRef
Shaw, J. R., Lewis, A., 2010, PhRvD, 81, 043517
Shaw, J. R., Lewis, A., 2012, PhRvD, 86, 043510
Shiraishi, M., Sekiguchi, T., 2014, PhRvD, 90, 103002
Shiraishi, M., Nitta, D., Yokoyama, S., Ichiki, K., Takahashi, K., 2010, PhRvD, 82, 121302
Shiraishi, M., Nitta, D., Yokoyama, S., Ichiki, K., Takahashi, K., 2011, PhRvD, 83, 123003
Shiraishi, M., Nitta, D., Yokoyama, S., Ichiki, K., 2012, JCAP, 3, 041
Subramanian, K., Barrow, J. D., 1998, PhRvD, 58, 083502
Sunyaev, R. A., Zeldovich, Y. B., 1970, Ap&SS, 7, 3
Sunyaev, R. A., Zeldovich, Y. B., 1972, CoASP, 4, 173
Takahashi, K., Ichiki, K., Ohno, H., Hanayama, H., 2005, PhRvL, 95, 121301
Tavecchio, F., Ghisellini, G., Foschini, L., et al., 2010, MNRAS, 406, L70
Tavecchio, F., Ghisellini, G., Bonnoli, G., Foschini, L., 2011, MNRAS, 414, 3566CrossRef
Taylor, A. M., Vovk, I., Neronov, A., 2011, A&A, 529, AA144
Tegmark, M., et al., 2006, PhRvD, 74, 12350
Trivedi, P., Subramanian, K., Seshadri, T. R., 2010, PhRvD, 82, 123006
Trivedi, P., Seshadri, T. R., Subramanian, K., 2012, PhRvL, 108, 231301
Trivedi, P., Subramanian, K., Seshadri, T. R., 2014, PhRvD, 89, 043523
Turner, M. S., Widrow, L. M., 1988, PhRvD, 37, 2743
Vachaspati, T., 1991, PhLB, 265, 258
Vovk, I., Taylor, A. M., Semikoz, D., Neronov, A., 2012, ApJ, 747, LL14CrossRef
Widrow, L. M., 2002, RvMP, 74, 775
Wolfe, A. M., Jorgenson, R. A., Robishaw, T., Heiles, C., Prochaska, J. X., 2008, Natur, 455, 638CrossRef
Xia, J.-Q., Negrello, M., Lapi, A., et al., 2012, MNRAS, 422, 1324CrossRef
Xu, H., et al., 2012, ApJ, 759, 40CrossRef

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×