Primordial Black Holes and Cosmological Phase Transitions Report ...

More documents

Recommendations

Info

$Kawasaki dynamic in continuum Math. Encounters XXXV ... - CCM$

PBHs and Cosmological Phase Transitions viii 29 The sound speed for the QCD phase transition according to the Bag Model. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81 30 The sound speed for the QCD phase transition according to the Lattice Fit. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82 31 The sound speed for the QCD phase transition in the case of a Crossover. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82 32 The width of the QCD Crossover in terms of temperature as a function of the parameter ∆T . . . . . . . . . . . . . . . . . . . . 84 33 The width of the QCD Crossover in terms of time as a function of the parameter ∆T . . . . . . . . . . . . . . . . . . . . . . . . . 85 34 Phase diagram for the EW phase transition. . . . . . . . . . . . . 87 35 The EW and QCD phase diagrams in terms of temperature and the relevant chemical potentials. . . . . . . . . . . . . . . . . . . 88 36 Evolution of the Higgs scalar potential V for different values of temperature. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 91 37 The sound speed for the EW Crossover as a function of temperature. 94 38 The minimum value attained by the sound speed as a function of the parameter ∆T (EW Crossover and QCD Crossover). . . . . . 95 39 The sound speed for the EW Crossover as a function of time. . . 95 40 The EoS with in the case of an EW first–order phase transition and with two metastable branches. . . . . . . . . . . . . . . . . . 97 41 The sound speed for the EW phase transition according to the Bag Model. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 99 42 The sound speed during the electron–positron annihilation as a function of temperature. . . . . . . . . . . . . . . . . . . . . . . . 104 43 The sound speed during the electron–positron annihilation as a function of time. . . . . . . . . . . . . . . . . . . . . . . . . . . . 104 44 The function x(t) for the QCD Bag Model. . . . . . . . . . . . . 112 45 Regions in the (δ, log 10 x) plane corresponding to different classes of perturbations for the QCD Bag Model. . . . . . . . . . . . . . 115 46 Regions in the (δ, log 10 x) plane corresponding to different classes of perturbations for the QCD Lattice Fit. . . . . . . . . . . . . . 116 47 The function x(t) for the EW Bag Model. . . . . . . . . . . . . . 118 48 Formation of a PBH from a fluctuation for which δk =0.535. . . 123 49 A zoom into the upper left region of Figure 48. . . . . . . . . . . 123 50 PBH formation during the QCD transition according to the Bag Model for the case x = 2 and δc =1/3. . . . . . . . . . . . . . . . 125 51 PBH formation during the QCD transition according to the Bag Model for the cases x = 15, x = 30, and x = 90 when δc =1/3. . 127 52 The curve in the (x, δ) plane indicating which values lead to collapse to a BH, according to the QCD Bag Model, when x>1 and δc =1/3. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 129 53 PBH formation during the QCD transition, according to the Bag Model, for the cases x = 2, x = 15, and x = 30 when δc assumes different values. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 130
PBHs and Cosmological Phase Transitions ix 54 The curve in the (x, δ) plane indicating which values lead to collapse to a BH, within the QCD Bag Model, in the case x>1 with δc =1/3 and δc =0.7. . . . . . . . . . . . . . . . . . . . . . 131 55 The value of x as a function of δc for the special cases δc1 = δc2 and δc2 = δc for the QCD Bag Model. . . . . . . . . . . . . . . . 131 56 PBH formation during the QCD transition according to the Bag Model for the cases x =0.927, x =0.6, and x =0.308 when δc =1/3. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 132 57 The curve in the (x, δ) plane indicating which values lead to collapse to a BH, within the QCD Bag Model, when y −1
Page 1: CCM-Centro de Ciências Matemática
Page 4 and 5: Contents List of Figures vii List o
Page 6 and 7: PBHs and Cosmological Phase Transit
Page 12 and 13: List of Tables 1 The Universe timel
Page 59 and 60:
PBHs and Cosmological Phase Transit
Page 61 and 62:
Page 63 and 64:
Page 65 and 66:
Page 67 and 68:
Page 69 and 70:
Page 71 and 72:
Page 73 and 74:
Page 75 and 76:
Page 77 and 78:
Page 79 and 80:
Page 81 and 82:
Page 83 and 84:
Page 85 and 86:
Page 87 and 88:
Page 89 and 90:
Page 91 and 92:
Page 93 and 94:
Page 95 and 96:
Page 97 and 98:
Page 99 and 100:
Page 101 and 102:
Page 103 and 104:
Page 105 and 106:
Page 107 and 108:
Page 109 and 110:
Page 111 and 112:
Page 113 and 114:
Page 115 and 116:
Page 117 and 118:
Page 119 and 120:
Page 121 and 122:
Page 123 and 124:
Page 125 and 126:
Page 127 and 128:
Page 129 and 130:
Page 131 and 132:
Page 133 and 134:
Page 135 and 136:
Page 137 and 138:
Page 139 and 140:
Page 141 and 142:
Page 143 and 144:
Page 145 and 146:
Page 147 and 148:
Page 149 and 150:
Page 151 and 152:
Page 153 and 154:
Page 155 and 156:
Page 157 and 158:
Page 159 and 160:
Page 161 and 162:
Page 163 and 164:
Page 165 and 166:
Page 167 and 168:
Page 169 and 170:
Page 171 and 172:
Page 173 and 174:
Page 175 and 176:
Page 177 and 178:
Page 179 and 180:
Page 181 and 182:
Page 183 and 184:
Page 185 and 186:
Page 187 and 188:
Page 189 and 190:
Page 191 and 192:
Page 193 and 194:
Page 195 and 196:
Page 197 and 198:
Page 199 and 200:
Page 201 and 202:
Page 203 and 204:
Page 205 and 206:
Page 207 and 208:
Page 209 and 210:
Page 211 and 212:
Page 213 and 214:
Page 215 and 216:
Page 217 and 218:
Page 219 and 220:
Page 221 and 222:
Table 49 (continued). PBHs and Cosm
Page 223 and 224:
Table 49 (continued). Radiation EW
Page 225 and 226:
Page 227 and 228:
Page 229 and 230:
Page 231 and 232:
Page 233 and 234:
Page 235 and 236:
Page 237 and 238:
Page 239 and 240:
Page 241 and 242:
show all

Primordial Black Holes and Cosmological Phase Transitions Report ...

Create successful ePaper yourself

Delete template?

Save as template?