RT Journal Article T1 Production of spin 3/2 particles from vacuum fluctuations A1 López Maroto, Antonio A1 Mazumdar, Anupam AB We study the production of spin 3/2 particles in homogeneous scalar and gravitational backgrounds using the mode-mixing Bogolyubov method. Considering only the helicity +/-3/2 states, we can reduce the problem to a standard Dirac fermion calculation and apply the standard techniques in a straight forward way. As an example we consider a specific supergravity inflationary model and calculate the spectrum of gravitinos created during preheating at the end of inflation. PB American Physical Society SN 0031-9007 YR 2000 FD 2000-02-21 LK https://hdl.handle.net/20.500.14352/59334 UL https://hdl.handle.net/20.500.14352/59334 LA eng NO [1] L. Kofman, A. D. Linde, and A. A. Starobinsky, Phys. Rev. Lett. 73, 3195 (1994); Phys. Rev. D 56, 3258 (1997); J. H. Traschen and R. H. Brandenberger, Phys. Rev. D 42, 2491 (1990); Y. Shtanov, J. Traschen, and R. Brandenberger, Phys. Rev. D 51, 5438 (1995).[2] J. Baacke, K. Heitmann, and C. Patzold, Phys. Rev. D 58, 125013 (1998); P. B. Greene and L. Kofman, Phys. Lett. B 448, 6 (1999).[3] J. Ellis, J. E. Kim, and D.V. Nanopoulos, Phys. Lett. 145B, 181 (1984).[4] M. Kawasaki and T. Moroi, Prog. Theor. Phys. 93, 879 (1995); T. Moroi, hep-ph/9503210.[5] D. H. Lyth, D. Roberts, and M. Smith, Phys. Rev. D 57, 7120 (1998).[6] S. Sarkar, Rep. Prog. Phys. 59, 1493 (1996).[7] G. Velo and D. Zwanziger, Phys. Rev. 186, 1337 (1969); C. R. Hagen and L. P. S. Singh, Phys. Rev. D 26, 393 (1982).[8] K. Johnson and E. C. G. Sudarshan, Ann. Phys. (N.Y.) 13, 126 (1961).[9] S. Deser and B. Zumino, Phys. Rev. Lett. 38, 1433 (1977); Phys. Lett. 62B, 335 (1976).[10] N. D. Birrell and P. C.W. Davies, Quantum Fields in Curved Space (Cambridge University Press, Cambridge, England, 1982).[11] D. Bailin and A. Love, Supersymmetric Gauge Field Theory and String Theory (IOP, Bristol, 1994).[12] P. Holman, P. Ramond, and G. G. Ross, Phys. Lett. 137B, 343 (1984).[13] G. G. Ross and S. Sarkar, Nucl. Phys. B461, 597 (1996).[14] V. M. Mostepanenko and V. M. Frolov, Sov. J. Nucl. Phys. 19, 451 (1974); A. A. Grib, S. G. Mamayev, and V. M. Mostepanenko, Vacuum Quantum Effects in Strong Fields (Friedmann Laboratory Publishing, St. Petersburg, 1994).[15] A. L. Maroto and A. Mazumdar, Phys. Rev. D 59, 083510 (1999).[16] H. Pagels and J. Primack, Phys. Rev. Lett. 48, 223 (1982).[17] E.W. Kolb and M. S. Turner, The Early Universe (Addison- Wesley, Reading, MA, 1990).[18] J. Ellis, A. Linde, and D. Nanopoulos, Phys. Lett. 118B, 59 (1982). NO © 2000 The American Physical Society. A. L. M. acknowledges support from the SEUID-Royal Society and (CICYT-AEN97-1693) (Spain). A. M. is supported by INLAKS and ORS. We thank Andrew Liddle for valuable discussions. NO SEUID-Royal Society NO CICYT (Spain) DS Docta Complutense RD 30 nov 2023