Flavour-coherent propagators and Feynman rules: Covariant cQPA formulation

Journal of High Energy Physics

Volumn 2012, Issue 2, 2012, Pages

  Herranen, Matti ^a   Kainulainen, Kimmo ^b,c   Rahkila, Pyry Matti ^b,c  

^a RWTH AACHEN UNIVERSITY   (Germany)

^b UNIVERSITY OF JYVÄSKYLÄ   (Finland)

^c UNIVERSITY OF HELSINKI   (Finland)

Author keywords

Cosmology of theories beyond the SM; Neutrino physics; Thermal field theory

Indexed keywords

EID: 84857868392     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP02(2012)080     Document Type: Article

References (82)

1. M. Herranen, K. Kainulainen and P.M. Rahkila, Towards a kinetic theory for fermions with quantum coherence, Nucl. Phys. B 810 (2009) 389 [arXiv:0807.1415].
2. M. Herranen, K. Kainulainen and P.M. Rahkila, Quantum kinetic theory for fermions in temporally varying backgrounds, JHEP 09 (2008) 032 [arXiv:0807.1435].
3. M. Herranen, K. Kainulainen and P.M. Rahkila, Kinetic theory for scalar fields with nonlocal quantum coherence, JHEP 05 (2009) 119 [arXiv:0812.4029].
4. M. Herranen, K. Kainulainen and P.M. Rahkila, Coherent quasiparticle approximation (cQPA) and nonlocal coherence, J. Phys. Conf. Ser. 220 (2010) 012007 [arXiv:0912.2490].
5. M. Herranen, Quantum kinetic theory with nonlocal coherence, Ph.D. thesis, research report 3/2009, University of Jyväskylä, Jyväskylä Finland (2009) [arXiv:0906.3136].
6. M. Herranen, K. Kainulainen and P.M. Rahkila, Coherent quantum Boltzmann equations from cQPA, JHEP 12 (2010) 072 [arXiv:1006.1929].
7. C. Fidler, M. Herranen, K. Kainulainen and P.M. Rahkila, Flavoured quantum Boltzmann equations from cQPA, arXiv:1108.2309.
8. R. Barbieri and A. Dolgov, Bounds on sterile-neutrinos from nucleosynthesis, Phys. Lett. B 237 (1990) 440.
9. R. Barbieri and A. Dolgov, Neutrino oscillations in the early universe, Nucl. Phys. B 349 (1991) 743.
10. K. Kainulainen, Light singlet neutrinos and the primordial nucleosynthesis, Phys. Lett. B 244 (1990) 191.
11. K. Enqvist, K. Kainulainen and J. Maalampi, Resonant neutrino transitions and nucleosynthesis, Phys. Lett. B 249 (1990) 531.
12. K. Enqvist, K. Kainulainen and J. Maalampi, Refraction and oscillations of neutrinos in the early universe, Nucl. Phys. B 349 (1991) 754.
13. K. Enqvist, K. Kainulainen and M.J. Thomson, Stringent cosmological bounds on inert neutrino mixing, Nucl. Phys. B 373 (1992) 498.
14. D. Boyanovsky and C. Ho, Charged lepton mixing and oscillations from neutrino mixing in the early universe, Astropart. Phys. 27 (2007) 99 [hep-ph/0510214].
15. C. Ho, D. Boyanovsky and H. de Vega, Neutrino oscillations in the early universe: a real time formulation, Phys. Rev. D 72 (2005) 085016 [hep-ph/0508294].
16. V. Kuzmin, V. Rubakov and M. Shaposhnikov, On the anomalous electroweak baryon number nonconservation in the early universe, Phys. Lett. B 155 (1985) 36.
17. A.G. Cohen, D. Kaplan and A. Nelson, Progress in electroweak baryogenesis, Ann. Rev. Nucl. Part. Sci. 43 (1993) 27 [hep-ph/9302210].
18. V. Rubakov and M. Shaposhnikov, Electroweak baryon number nonconservation in the early universe and in high-energy collisions, Usp. Fiz. Nauk 166 (1996) 493
19. [Phys. Usp. 39 (1996) 461] [hep-ph/9603208].
20. M. Joyce, T. Prokopec and N. Turok, Nonlocal electroweak baryogenesis. Part 2: the classical regime, Phys. Rev. D 53 (1996) 2958 [hep-ph/9410282].
21. M. Joyce, T. Prokopec and N. Turok, Electroweak baryogenesis from a classical force, Phys. Rev. Lett. 75 (1995) 1695 [Erratum ibid. 75 (1995) 3375] [hep-ph/9408339].
22. M. Joyce, T. Prokopec and N. Turok, Nonlocal electroweak baryogenesis. Part 1: thin wall regime, Phys. Rev. D 53 (1996) 2930 [hep-ph/9410281].
23. J.M. Cline, M. Joyce and K. Kainulainen, Supersymmetric electroweak baryogenesis, JHEP 07 (2000) 018 [hep-ph/0006119].
24. J.M. Cline, M. Joyce and K. Kainulainen, Supersymmetric electroweak baryogenesis in the WKB approximation, Phys. Lett. B 417 (1998) 79 [Erratum ibid. B 448 (1999) 321] [hep-ph/9708393].
25. J.M. Cline and K. Kainulainen, A new source for electroweak baryogenesis in the MSSM, Phys. Rev. Lett. 85 (2000) 5519 [hep-ph/0002272].
26. K. Kainulainen, T. Prokopec, M.G. Schmidt and S. Weinstock, First principle derivation of semiclassical force for electroweak baryogenesis, JHEP 06 (2001) 031 [hep-ph/0105295].
27. K. Kainulainen, T. Prokopec, M.G. Schmidt and S. Weinstock, Semiclassical force for electroweak baryogenesis: three-dimensional derivation, Phys. Rev. D 66 (2002) 043502 [hep-ph/0202177].
28. K. Kainulainen, T. Prokopec, M.G. Schmidt and S. Weinstock, Quantum Boltzmann equations for electroweak baryogenesis including gauge fields, hep-ph/0201293.
29. T. Prokopec, M.G. Schmidt and S. Weinstock, Transport equations for chiral fermions to order ∼ and electroweak baryogenesis. Part 1, Annals Phys. 314 (2004) 208 [hep-ph/0312110].
30. T. Prokopec, M.G. Schmidt and S. Weinstock, Transport equations for chiral fermions to order ∼ and electroweak baryogenesis. Part II, Annals Phys. 314 (2004) 267 [hep-ph/0406140].
31. T. Konstandin, T. Prokopec and M.G. Schmidt, Kinetic description of fermion avor mixing and CP-violating sources for baryogenesis, Nucl. Phys. B 716 (2005) 373 [hep-ph/0410135].
32. T. Konstandin, T. Prokopec, M.G. Schmidt and M. Seco, MSSM electroweak baryogenesis and avor mixing in transport equations, Nucl. Phys. B 738 (2006) 1 [hep-ph/0505103].
33. V. Cirigliano, C. Lee, M.J. Ramsey-Musolf and S. Tulin, Flavored quantum Boltzmann equations, Phys. Rev. D 81 (2010) 103503 [arXiv:0912.3523].
34. V. Cirigliano, C. Lee and S. Tulin, Resonant avor oscillations in electroweak baryogenesis, Phys. Rev. D 84 (2011) 056006 [arXiv:1106.0747].
35. B. Garbrecht, T. Prokopec and M.G. Schmidt, Coherent baryogenesis, Phys. Rev. Lett. 92 (2004) 061303 [hep-ph/0304088].
36. B. Garbrecht, T. Prokopec and M.G. Schmidt, SO(10)-GUT coherent baryogenesis, Nucl. Phys. B 736 (2006) 133 [hep-ph/0509190].
37. M. Fukugita and T. Yanagida, Baryogenesis without grand unification, Phys. Lett. B 174 (1986) 45.
38. A. Pilaftsis and T.E. Underwood, Resonant leptogenesis, Nucl. Phys. B 692 (2004) 303 [hep-ph/0309342].
39. A. Pilaftsis and T.E. Underwood, Electroweak-scale resonant leptogenesis, Phys. Rev. D 72 (2005) 113001 [hep-ph/0506107].
40. A. Abada, S. Davidson, F.-X. Josse-Michaux, M. Losada and A. Riotto, Flavor issues in leptogenesis, JCAP 04 (2006) 004 [hep-ph/0601083].
41. E. Nardi, Y. Nir, E. Roulet and J. Racker, The importance of avor in leptogenesis, JHEP 01 (2006) 164 [hep-ph/0601084].
42. M. Garny, A. Hohenegger, A. Kartavtsev and M. Lindner, Systematic approach to leptogenesis in nonequilibrium QFT: vertex contribution to the CP-violating parameter, Phys. Rev. D 80 (2009) 125027 [arXiv:0909.1559].
43. M. Garny, A. Hohenegger, A. Kartavtsev and M. Lindner, Systematic approach to leptogenesis in nonequilibrium QFT: self-energy contribution to the CP-violating parameter, Phys. Rev. D 81 (2010) 085027 [arXiv:0911.4122].
44. M. Beneke, B. Garbrecht, M. Herranen and P. Schwaller, Finite number density corrections to leptogenesis, Nucl. Phys. B 838 (2010) 1 [arXiv:1002.1326].
45. M. Beneke, B. Garbrecht, C. Fidler, M. Herranen and P. Schwaller, Flavoured leptogenesis in the CTP formalism, Nucl. Phys. B 843 (2011) 177 [arXiv:1007.4783].
46. A. Anisimov, D. Besak and D. Bödeker, Thermal production of relativistic Majorana neutrinos: strong enhancement by multiple soft scattering, JCAP 03 (2011) 042 [arXiv:1012.3784].
47. A. Anisimov, W. Buchmüller, M. Drewes and S. Mendizabal, Leptogenesis from quantum interference in a thermal bath, Phys. Rev. Lett. 104 (2010) 121102 [arXiv:1001.3856].
48. A. Anisimov, W. Buchmüller, M. Drewes and S. Mendizabal, Quantum leptogenesis I, Annals Phys. 326 (2011) 1998 [arXiv:1012.5821].
49. J.H. Traschen and R.H. Brandenberger, Particle production during out-of-equilibrium phase transitions, Phys. Rev. D 42 (1990) 2491.
50. Y. Shtanov, J.H. Traschen and R.H. Brandenberger, Universe reheating after ination, Phys. Rev. D 51 (1995) 5438 [hep-ph/9407247].
51. J. Berges and J. Serreau, Parametric resonance in quantum field theory, Phys. Rev. Lett. 91 (2003) 111601 [hep-ph/0208070].
52. J. Berges, J. Pruschke and A. Rothkopf, Instability-induced fermion production in quantum field theory, Phys. Rev. D 80 (2009) 023522 [arXiv:0904.3073].
53. J.F. Koksma, T. Prokopec and M.G. Schmidt, Decoherence in an interacting quantum field theory: the vacuum case, Phys. Rev. D 81 (2010) 065030 [arXiv:0910.5733].
54. J.F. Koksma, T. Prokopec and M.G. Schmidt, Entropy and correlators in quantum field theory, Annals Phys. 325 (2010) 1277 [arXiv:1002.0749].
55. J.F. Koksma, T. Prokopec and M.G. Schmidt, Decoherence in an interacting quantum field theory: thermal case, Phys. Rev. D 83 (2011) 085011 [arXiv:1102.4713].
56. A. Giraud and J. Serreau, Decoherence and thermalization of a pure quantum state in quantum field theory, Phys. Rev. Lett. 104 (2010) 230405 [arXiv:0910.2570].
57. F. Gautier and J. Serreau, Quantum properties of a non-Gaussian state in the large-N approximation, Phys. Rev. D 83 (2011) 125004 [arXiv:1104.0421].
58. J.S. Schwinger, Brownian motion of a quantum oscillator, J. Math. Phys. 2 (1961) 407.
59. L. Keldysh, Diagram technique for nonequilibrium processes, Zh. Eksp. Teor. Fiz. 47 (1964) 1515
60. [Sov. Phys. JETP 20 (1965) 1018].
61. P. Danielewicz, Quantum theory of nonequilibrium processes. 1:, Annals Phys. 152 (1984) 239.
62. S. Mrowczynski and U.W. Heinz, Towards a relativistic transport theory of nuclear matter, Annals Phys. 229 (1994) 1.
63. E. Calzetta and B.L. Hu, Nonequilibrium quantum field theory, Cambridge University Press, Cambridge U.K. (2008).
64. C. Greiner and S. Leupold, Stochastic interpretation of Kadanoff-Baym equations and their relation to Langevin processes, Annals Phys. 270 (1998) 328 [hep-ph/9802312].
65. A. Anisimov, W. Buchmüller, M. Drewes and S. Mendizabal, Nonequilibrium dynamics of scalar fields in a thermal bath, Annals Phys. 324 (2009) 1234 [arXiv:0812.1934].
66. L. Kadanoff and G. Baym, Quantum statistical mechanics, Benjamin, New York U.S.A. (1962).
67. M. Le Bellac, Thermal field theory, Cambridge University Press, Cambridge U.K. (2000).
68. J. Berges, Introduction to nonequilibrium quantum field theory, AIP Conf. Proc. 739 (2005) 3 [hep-ph/0409233].
69. J. Luttinger and J.C. Ward, Ground state energy of a many fermion system. 2:, Phys. Rev. 118 (1960) 1417.
70. J.M. Cornwall, R. Jackiw and E. Tomboulis, Effective action for composite operators, Phys. Rev. D 10 (1974) 2428.
71. K.-C. Chou, Z.-B. Su, B.-L. Hao and L. Yu, Equilibrium and nonequilibrium formalisms made unified, Phys. Rept. 118 (1985) 1.
72. E. Calzetta and B. Hu, Nonequilibrium quantum fields: closed time path effective action, Wigner function and Boltzmann equation, Phys. Rev. D 37 (1988) 2878.
73. H. Weldon, Dynamical holes in the quark-gluon plasma, Phys. Rev. D 40 (1989) 2410.
74. H. Weldon, Particles and holes, Physica A 158 (1989) 169.
75. J. Berges and J. Cox, Thermalization of quantum fields from time reversal invariant evolution equations, Phys. Lett. B 517 (2001) 369 [hep-ph/0006160].
76. J. Berges, Controlled nonperturbative dynamics of quantum fields out-of-equilibrium, Nucl. Phys. A 699 (2002) 847 [hep-ph/0105311].
77. G. Aarts, D. Ahrensmeier, R. Baier, J. Berges and J. Serreau, Far from equilibrium dynamics with broken symmetries from the 2PI-1=N expansion, Phys. Rev. D 66 (2002) 045008 [hep-ph/0201308].
78. J. Berges, S. Borsànyi and J. Serreau, Thermalization of fermionic quantum fields, Nucl. Phys. B 660 (2003) 51 [hep-ph/0212404].
79. R. Kubo, Statistical mechanical theory of irreversible processes. 1: General theory and simple applications in magnetic and conduction problems, J. Phys. Soc. Jap. 12 (1957) 570.
80. R. Kubo, M. Yokota and S. Nakajima, Statistical mechanical theory of irreversible processes. 2: Response to thermal disturbance, J. Phys. Soc. Jap. 12 (1957) 1203.
81. P.C. Martin and J.S. Schwinger, Theory of many particle systems. 1:, Phys. Rev. 115 (1959) 1342.
82. J. Ilmavirta, K. Kainulainen and P.M. Rahkila, Neutrino transport in coherent quasiparticle approximation, in preparation.