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1、dissipative effects on mssm inflation26th aug. 08 cosmo08kohei kamada(resceu,the university of tokyo,japan)collaboration with junichi yokoyama1cosmo08wisconsin2008/8/26introductioninflation(guth, sato(81) solution of many cosmological problems wmap results strongly support inflation.mssm (minimal su

2、persymmetric standard model)flat direction possible candidate for inflaton (mssm inflation;allahverdi et. al. (06) no need for extra fields beyond mssm severe fine-tuning of potential and initial condition can interactions with other fields help these difficulties?2cosmo08wisconsin2008/8/26mssm infl

3、ationflat directionvacuum degenerate in the scalar potential (susy and renormalizable limit)slightly lifted by susy-breaking effect and non-renormalizable operator flat potentialinflaton candidate !3cosmo08wisconsin2008/8/26mssm inflationpotential including susy breaking effect and non-renormalizabl

4、e operatorif, saddle point athubble parameter:last inflation !?4cosmo08wisconsin2008/8/26low energy inflation:parameterization of flat directionfine-tuningrequirement for inflationpotential parameter: (to generate correct density perturbation)initial condition : (slow-roll region : ) can we relax th

5、ese conditions using the dissipative effect?5cosmo08wisconsin2008/8/26dissipative effect on the mssm inflationequation of motion in the dissipative regime (88 yokoyama & maeda)if , slow-roll condition will change. 6cosmo08wisconsin2008/8/26slow-roll conditionwhen dissipative coefficient is large

6、r than hubble parameter, slow-roll conditions change from usual form as follows :slow-roll parameters : slow-roll conditions :+ consistency check. decay product must be the subdominant component of the universe. 7cosmo08wisconsin2008/8/26modification to the mssm inflationslow-roll condition for cf.)

7、 no dissipation slow-roll region is enhanced!fine-tuning of the potential parameter and the initial condition is relaxed!for(condition for slow-roll region to emerge)8cosmo08wisconsin2008/8/26derivation of dissipative effectinteractions of inflaton acquires mass from the inflaton9cosmo08wisconsin200

8、8/8/26: (s)quarks & higgs(ino)s: (s)quarks: (s)leptonsenergy dissipative processthe motion of inflaton change the mass of other fields particle production of these fields decay to other fields causes dissipative effect energy dissipative channels exist !(84 morikawa & sasaki, 01 berera &

9、 ramos, 06 moss & xiong)10cosmo08wisconsin2008/8/26derivation of dissipative termsin-in(closed time path) formalismgenerating functional+branch-branchtime11cosmo08wisconsin2008/8/26effective action effective equation of motioneffective actionwith dressed propagator of(include the dissipative pro

10、cess)equation of motion in the slow-roll limitfor12cosmo08wisconsin2008/8/26conclusionmssm inflation is a candidate for low-energy inflation. dissipative effect can relax the problems of the mssm inflation. using in-in formalism, we have derived the dissipative term in the equation of motiondissipation coefficient can be larger than hubble parameter. (it depends on the yukawa coupling and the type of flat dire

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