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Production of massless fermions during inflation

T. Prokopec
(
- Heidelberg U. and
- CERN
)
,
Richard P. Woodard
(
- Florida U.
)

Sep, 2003

15 pages

Published in:

JHEP 10 (2003) 059

e-Print:

astro-ph/0309593 [astro-ph]

DOI:

10.1088/1126-6708/2003/10/059

Report number:

CERN-TH-2003-173,-HD-THEP-03-39,-UFIFT-HEP-03-21

View in:

reference search106 citations

Citations per year

Abstract: (arXiv)

We compute the one loop self energy, in a locally de Sitter background, for a massless fermion which is Yukawa-coupled to a massless, minimally coupled scalar. We then solve the modified Dirac equation resulting from inclusion of the self energy. We find faster-than-exponential growth in the fermion wave function, consistent with the production of fermions through a process in which a scalar and a fermion-anti-fermion pair are ripped out of the vacuum by inflation.

Note:

Erratum added online, 3/16/06

inflation
fermion: massless
fermion: production
coupling: Yukawa
field theory: scalar
Dirac equation: solution
fermion: wave function
plane wave: asymptotic behavior
fermion: propagator
symmetry breaking: conformal

References(16)

Figures(0)

Vacuum polarization and photon mass in inflation

Tomislav Prokopec
(
- Heidelberg U. and
- CERN
)
,
Richard P. Woodard
(
- Florida U.
)

- Am.J.Phys. 72 (2004) 60-72
•
e-Print:
- astro-ph/0303358
•
DOI:
- 10.1119/1.1596180

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First year Wilkinson Microwave Anisotropy Probe (WMAP) observations: Implications for inflation

WMAP

Collaboration

•

H.V. Peiris
(
- Princeton U., Astrophys. Sci. Dept.
)

et al.

- Astrophys.J.Suppl. 148 (2003) 213-231
•
e-Print:
- astro-ph/0302225
•
DOI:
- 10.1086/377228

Photon mass from inflation

Tomislav Prokopec
(
- Heidelberg U.
)
,
Ola Tornkvist
(
- Imperial Coll., London
)
,
Richard P. Woodard
(
- Florida U.
)

- Phys.Rev.Lett. 89 (2002) 101301
•
e-Print:
- astro-ph/0205331
•
DOI:
- 10.1103/PhysRevLett.89.101301

One loop vacuum polarization in a locally de Sitter background

T. Prokopec
(
- Heidelberg U.
)
,
O. Tornkvist
(
- Imperial Coll., London
)
,
R.P. Woodard
(
- Florida U.
)

- Annals Phys. 303 (2003) 251-274
•
e-Print:
- gr-qc/0205130
•
DOI:
- 10.1016/S0003-4916(03)00004-6

Dynamics of superhorizon photons during inflation with vacuum polarization

Tomislav Prokopec
(
- Heidelberg U. and
- CERN
)
,
Richard P. Woodard
(
- Florida U.
)

- Annals Phys. 312 (2004) 1-16
•
e-Print:
- gr-qc/0310056
•
DOI:
- 10.1016/j.aop.2004.01.012

Plane waves in a general Robertson-Walker background

N.C. Tsamis
(
- Crete U.
)
,
R.P. Woodard
(
- Florida U.
)

- Class.Quant.Grav. 20 (2003) 5205-5223
•
e-Print:
- astro-ph/0206010
•
DOI:
- 10.1088/0264-9381/20/23/015

Superacceleration from massless, minimally coupled phi**4

V.K. Onemli
(
- Florida U.
)
,
R.P. Woodard
(
- Florida U.
)

- Class.Quant.Grav. 19 (2002) 4607
•
e-Print:
- gr-qc/0204065
•
DOI:
- 10.1088/0264-9381/19/17/311

Brownian motion of a quantum oscillator

Julian S. Schwinger
(
- Harvard U.
)

- J.Math.Phys. 2 (1961) 407-432
•
DOI:
- 10.1063/1.1703727

Effective Field Equations for Expectation Values

R.D. Jordan
(
- Texas U.
)

- Phys.Rev.D 33 (1986) 444-454,
- Phys. Rev. D33 ( 1986) 444-454
•
DOI:
- 10.1103/PhysRevD.33.444

Production of massless fermions during inflation

T. Prokopec
(
- Heidelberg U. and
- CERN
)
,
Richard P. Woodard
(
- Florida U.
)

- JHEP 10 (2003) 059
•
e-Print:
- astro-ph/0309593
•
DOI:
- 10.1088/1126-6708/2003/10/059

Fermion mass generation in de Sitter space

Bjorn Garbrecht
(
- Manchester U.
)
,
Tomislav Prokopec
(
- Utrecht U.
)

- Phys.Rev.D 73 (2006) 064036
•
e-Print:
- gr-qc/0602011
•
DOI:
- 10.1103/PhysRevD.73.064036

Photon mass generation during inflation: de Sitter invariant case

Tomislav Prokopec
(
- Heidelberg U.
)
,
Ewald Puchwein
(
- Heidelberg U.
)

- JCAP 04 (2004) 007
•
e-Print:
- astro-ph/0312274
•
DOI:
- 10.1088/1475-7516/2004/04/007

Nearly minimal magnetogenesis

Tomislav Prokopec
(
- Heidelberg U.
)
,
Ewald Puchwein
(
- Heidelberg U.
)

- Phys.Rev.D 70 (2004) 043004
•
e-Print:
- astro-ph/0403335
•
DOI:
- 10.1103/PhysRevD.70.043004

Yukawa scalar self-mass on a conformally flat background

L.D. Duffy
(
- Florida U.
)
,
R.P. Woodard
(
- Florida U.
)

- Phys.Rev.D 72 (2005) 024023
•
e-Print:
- hep-ph/0505156
•
DOI:
- 10.1103/PhysRevD.72.024023

The Fermion self-energy during inflation

Shun-Pei Miao
(
- Florida U.
)
,
R.P. Woodard
(
- Florida U.
)

- Class.Quant.Grav. 23 (2006) 1721-1762
•
e-Print:
- gr-qc/0511140
•
DOI:
- 10.1088/0264-9381/23/5/016